
A. Gardiner “Infinite Processes: Background to Analysis”
Springer | 1982-04 | ISBN: 0387906053 | 306 pages | Djvu | 2,4 Mb
Infinite Processes: Background to Analysis
By A. Gardiner
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A. Gardiner “Infinite Processes: Background to Analysis”
Springer | 1982-04 | ISBN: 0387906053 | 306 pages | Djvu | 2,4 Mb
Infinite Processes: Background to Analysis
By A. Gardiner

Yaakov Kraftmakher “Lecture Notes on Equilibrium Point Defects and Thermophysical Properties of Metals”
World Scientific Publishing Company | 2000-09 | ISBN: 9810241402 | 300 pages | PDF | 9,9 Mb
Lecture Notes on Equilibrium Point Defects and Thermophysical Properties of Metals
By Yaakov Kraftmakher

E.G.C. Poole “Introduction To The Theory Of Linear Differential Equations”
Pierides Press | 2007-03-15 | ISBN: 1406720089 | 212 pages | PDF | 12,2 Mb
INTRODUCTION TO THE THEORY OF LINEAR
DIFFERENTIAL EQUATIONS BY E. G. C. PODJLE Fellow of New College, Oxford
OXFORD AT THE CLARENDON PRESS 193d Oui, 1 oeuvre sort plus belle Dune
forme au travail Rebelle, Vers, marbre, onyx, email TH. GAUTIEB iZmaux
et Camdes PRINTED IN GREAT BRITAIN PREFACE THE study of differential
equations began with Newton and Leibnitz, and most of the elementary
methods of solution were discovered in the course of the eighteenth
century. Where a problem could not be solved in finite terms,
expansions in power-series were tentatively em ployed by Newton. But
the theory was not placed on a satisfactory logical basis until about a
century ago, when Cauchy distinguished between analytic and
npn-analytic systems, and constructed rigorous existence - theorems
appropriate to each type. Ordinary linear equations, with which this
book deals, have always attracted particular attention by their
comparative tractability and their numerous practical applications.
Extensive monographs have been devoted to many separate branches of the
theory, such as spherical and cylindrical harmonics, expansions in
series of ortho gonal functions, oscillation and comparison theorems,
the Heaviside calculus, polyhedral, elliptic modular and automorphic
functions. While some branches arose out of physical problems, others
were created by the progress of the theory of functions and of the
theory of groups. Many important ideas were first worked out in
connexion with the hypergeometric equation by Euler, Gauss, Kummer, Rie
mann, or Schwarz, and were then generalized by Fuchs, Klein, Poincare,
and many other writers of the highest distinction. The present
Introduction is based on lectures to senior under graduates at Oxford,
and is designed for students who have already taken an elementary
course of differential equations, but have not yet specialized in one
of the more advanced branches. It is not a compendium of this vast
subject to which no single author could do justice, but a selection of
investigations of moderate length and difficulty, illustrating those
aspects of it which are most familiar to myself. The first five
chapters deal with properties common to wide classes of equations, and
the last five are devoted to a more detailed examination of the
hypergeometric equation, Laplaces linear equation, and the equations of
Lame and Mathieu. I have not discussed systematically the equations of
Legendre and Bessel, as there are so many admirable accounts of them in
English suitable for students of every grade. On the other hand, I have
thought it well to devote a chapter to equations with constant
coefficients. I find vi PREFACE that candidates in university
examinations have great difficulty in constructing the solution of such
equations which takes assigned initial values, even when they can write
down the complete primitive. A very slight sketch of Heavisides method
should enable them to make short work of this problem, which is of
great practical impor tance. Again, the theory of simultaneous
equations with constant coefficients gives an excellent opportunity of
introducing in an easy context the notion of invariant factors, which
is of fundamental importance in the Fuchsian theory. The short
bibliography and the footnotes serve both to acknow ledge my debt to
the authorities and to guide the more ambitious reader. Besides some of
the great classical memoirs and the systematic treatises of Forsyth,
Heffter, and Schlesinger, the books from which I have learnt most are
Kleins lectures on the icosahedroii and on the hypergeometric function,
the masterly summaries of the general theory in the works of Goursat,
Jordan, and Picard, and the studies of particular equations in
Whittaker and Watsons Modern Analysis. Those vho wish to learn more
about existence-theorems should con sult the recent work of Kamke…
Martha Dane paused, looking up at the purple-tinged The red loess lay over everything, covering Something started banging like a machine gun, * * * * * There were ten people in the main office room She started to carry the notebooks and sketchbooks "Hello, Martha. It isn't cocktail-time "No, it's only fifteen-thirty. I finished Sachiko took off the loup and leaned back in "No, I like doing this. I call it micro-jigsaw There could be a faintly critical overtone to "It will, some day. Look how long it took Sachiko smiled. "Yes. I know. But they "And we don't. There is no Rosetta Stone, "We'll find one. There must be something, Sachiko took her hands from her eyes, being "I hope so, Martha: really I do. It would "You haven't found any more pictures?" Sachiko shook her head. Not that it would have * * * * * Selim von Ohlmhorst looked up from his notebook, "Everything finished, over there?" "Such as it was." She laid the notebooks Colonel Penrose looked up quickly, as though Von Ohlmhorst nodded. "There wasn't much "The tall one with the conical thing like "Well, I hope it turns out to be one that The last one hadn't. It had been stripped of "Yes. We always find that--except, of course, And if we learn to read their language, we'll For an instant, the old man's face stiffened * * * * * Photographs, and photostats of restored pages She sat for a moment, looking at it. It was And that was as far as it went. She could pronounce The letters on the page in front of her began A smaller line, under the title, was plainly |
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| CHAPTER I Dare I say it? Dare I say that I, a plain,
How long that wild rush lasted I have |
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| "First, I must warn you, HASSI-INIFEL, NOVEMBER 8, 1903 If the following pages are ever to see the light of day it will be because they have been stolen from me. The delay that I exact before they shall be disclosed assures me of that.[1] [Footnote 1: This letter, together with the manuscript which accompanies it, the latter in a separate sealed envelope, was entrusted by Lieutenant Ferrieres, of the 3rd Spahis, the day of the departure of that officer for the Tassili of the Tuareg (Central Sahara), to Sergeant Chatelain. The sergeant was instructed to deliver it, on his next leave, to M. Leroux, Honorary Counsel at the Court of Appeals at Riom, and Lieutenant Ferrieres' nearest relative. As this magistrate died suddenly before the expiration of the term of ten years set for the publication of the manuscript here presented, difficulties arose which have delayed its publication up to the present date.] As to this disclosure, let no one distrust my aim when I prepare for it, when I insist upon it. You may believe me when I maintain that no pride of authorship binds me to these pages. Already I am too far removed from all such things. Only it is useless that others should enter upon the path from which I shall not return. Four o'clock in the morning. Soon the sun will kindle the hamada with its pink fire. All about me the bordj is asleep. Through the half-open door of his room I hear Andre de Saint-Avit breathing quietly, very quietly. In two days we shall start, he and I. We shall leave the bordj. We shall penetrate far down there to the South. The official orders came this morning. Now, even if I wished to withdraw, it is too late. Andre and I asked for this mission. The authorization that I sought, together with him, has at this moment become an order. The hierarchic channels cleared, the pressure brought to bear at the Ministry;--and then to be afraid, to recoil before this adventure!... To be afraid, I said. I know that I am not afraid! One night in the Gurara, when I found two of my sentinels slaughtered, with the shameful cross cut of the Berbers slashed across their stomachs--then I was afraid. I know what fear is. Just so now, when I gazed into the black depths, whence suddenly all at once the great red sun will rise, I know that it is not with fear that I tremble. I feel surging within me the sacred horror of this mystery, and its irresistible attraction. Delirious dreams, perhaps. The mad imaginings of a brain surcharged, and an eye distraught by mirages. The day will come, doubtless, when I shall reread these pages with an indulgent smile, as a man of fifty is accustomed to smile when he rereads old letters. Delirious dreams. Mad imaginings. But these dreams, these imaginings, are dear to me. "Captain de Saint-Avit and Lieutenant Ferrieres," reads the official dispatch, "will proceed to Tassili to determine the statigraphic relation of Albien sandstone and carboniferous limestone. They will, in addition, profit by any opportunities of determining the possible change of attitude of the Axdjers towards our penetration, etc." If the journey should indeed have to do only with such poor things I think that I should never undertake it. So I am longing for what I dread. I shall be dejected if I do not find myself in the presence of what makes me strangely fearful. In the depths of the valley of Wadi Mia a jackal is barking. Now and again, when a beam of moonlight breaks in a silver patch through the hollows of the heat-swollen clouds, making him think he sees the young sun, a turtle dove moans among the palm trees. I hear a step outside. I lean out of the window. A shade clad in luminous black stuff glides over the hard-packed earth of the terrace of the fortification. A light shines in the electric blackness. A man has just lighted a cigarette. He crouches, facing southwards. He is smoking. It is Cegheir-ben-Cheikh, our Targa guide, the man who in three days is to lead us across the unknown plateaus of the mysterious Imoschaoch, across the hamadas of black stones, the great dried oases, the stretches of silver salt, the tawny hillocks, the flat gold dunes that are crested over, when the "alize" blows, with a shimmering haze of pale sand. Cegheir-ben-Cheikh! He is the man. There recurs to my mind Duveyrier's tragic phrase, "At the very moment the Colonel was putting his foot in the stirrup he was felled by a sabre blow."[2] Cegheir-ben-Cheikh! There he is, peacefully smoking his cigarette, a cigarette from the package that I gave him.... May the Lord forgive me for it. [Footnote 2: H. Duveyrier, "The Disaster of the Flatters Mission." Bull. Geol. Soc., 1881.] The lamp casts a yellow light on the paper. Strange fate, which, I never knew exactly why, decided one day when I was a lad of sixteen that I should prepare myself for Saint Cyr, and gave me there Andre de Saint-Avit as classmate. I might have studied law or medicine. Then I should be today a respectable inhabitant of a town with a church and running water, instead of this cotton-clad phantom, brooding with an unspeakable anxiety over this desert which is about to swallow me. A great insect has flown in through the window. It buzzes, strikes against the rough cast, rebounds against the globe of the lamp, and then, helpless, its wings singed by the still burning candle, drops on the white paper. It is an African May bug, big, black, with spots of livid gray. I think of others, its brothers in France, the golden-brown May bugs, which I have seen on stormy summer evenings projecting themselves like little particles of the soil of my native countryside. It was there that as a child I spent my vacations, and later on, my leaves. On my last leave, through those same meadows, there wandered beside me a slight form, wearing a thin scarf, because of the evening air, so cool back there. But now this memory stirs me so slightly that I scarcely raise my eyes to that dark corner of my room where the light is dimly reflected by the glass of an indistinct portrait. I realize of how little consequence has become what had seemed at one time capable of filling all my life. This plaintive mystery is of no more interest to me. If the strolling singers of Rolla came to murmur their famous nostalgic airs under the window of this bordj I know that I should not listen to them, and if they became insistent I should send them on their way. What has been capable of causing this metamorphosis in me? A story, a legend, perhaps, told, at any rate by one on whom rests the direst of suspicions. Cegheir-ben-Cheikh has finished his cigarette. I hear him returning with slow steps to his mat, in barrack B, to the left of the guard post. Our departure being scheduled for the tenth of November, the manuscript attached to this letter was begun on Sunday, the first, and finished on Thursday, the fifth of November, 1903. OLIVIER FERRIERES, Lt. 3rd Spahis. I A SOUTHERN ASSIGNMENT Sunday, the sixth of June, 1903, broke the monotony of the life that we were leading at the Post of Hassi-Inifel by two events of unequal importance, the arrival of a letter from Mlle. de C----, and the latest numbers of the Official Journal of the French Republic. "I have the Lieutenant's permission?" said Sergeant Chatelain, beginning to glance through the magazines he had just removed from their wrappings. I acquiesced with a nod, already completely absorbed in reading Mlle. de C----'s letter. "When this reaches you," was the gist of this charming being's letter, "mama and I will doubtless have left Paris for the country. If, in your distant parts, it might be a consolation to imagine me as bored here as you possibly can be, make the most of it. The Grand Prix is over. I played the horse you pointed out to me, and naturally, I lost. Last night we dined with the Martials de la Touche. Elias Chatrian was there, always amazingly young. I am sending you his last book, which has made quite a sensation. It seems that the Martials de la Touche are depicted there without disguise. I will add to it Bourget's last, and Loti's, and France's, and two or three of the latest music hall hits. In the political word, they say the law about congregations will meet with strenuous opposition. Nothing much in the theatres. I have taken out a summer subscription for _l'Illustration_. Would you care for it? In the country no one knows what to do. Always the same lot of idiots ready for tennis. I shall deserve no credit for writing to you often. Spare me your reflections concerning young Combemale. I am less than nothing of a feminist, having too much faith in those who tell me that I am pretty, in yourself in particular. But indeed, I grow wild at the idea that if I permitted myself half the familiarities with one of our lads that you have surely with your Ouled-Nails.... Enough of that, it is too unpleasant an idea." I had reached this point in the prose of this advanced young woman when a scandalized exclamation of the Sergeant made me look up. "Lieutenant!" "Yes?" "They are up to something at the Ministry. See for yourself." He handed me the Official. I read: "By a decision of the first of May, 1903, Captain de Saint-Avit (Andre), unattached, is assigned to the Third Spahis, and appointed Commandant of the Post of Hassi-Inifel." Chatelain's displeasure became fairly exuberant. "Captain de Saint-Avit, Commandant of the Post. A post which has never had a slur upon it. They must take us for a dumping ground." My surprise was as great as the Sergeant's. But just then I saw the evil, weasel-like face of Gourrut, the convict we used as clerk. He had stopped his scrawling and was listening with a sly interest. "Sergeant, Captain de Saint-Avit is my ranking classmate," I answered dryly. Chatelain saluted, and left the room. I followed. "There, there," I said, clapping him on the back, "no hard feelings. Remember that in an hour we are starting for the oasis. Have the cartridges ready. It is of the utmost importance to restock the larder." I went back to the office and motioned Gourrut to go. Left alone, I finished Mlle. de C----'s letter very quickly, and then reread the decision of the Ministry giving the post a new chief. It was now five months that I had enjoyed that distinction, and on my word, I had accepted the responsibility well enough, and been very well pleased with the independence. I can even affirm, without taking too much credit for myself, that under my command discipline had been better maintained than under Captain Dieulivol, Saint-Avit's predecessor. A brave man, this Captain Dieulivol, a non-commissioned officer under Dodds and Duchesne, but subject to a terrible propensity for strong liquors, and too much inclined, when he had drunk, to confuse his dialects, and to talk to a Houassa in Sakalave. No one was ever more sparing of the post water supply. One morning when he was preparing his absinthe in the presence of the Sergeant, Chatelain, noticing the Captain's glass, saw with amazement that the green liquor was blanched by a far stronger admixture of water than usual. He looked up, aware that something abnormal had just occurred. Rigid, the carafe inverted in his hand, Captain Dieulivol was spilling the water which was running over on the sugar. He was dead. For six months, since the disappearance of this sympathetic old tippler, the Powers had not seemed to interest themselves in finding his successor. I had even hoped at times that a decision might be reached investing me with the rights that I was in fact exercising.... And today this surprising appointment. Captain de Saint-Avit. He was of my class at St. Cyr. I had lost track of him. Then my attention had been attracted to him by his rapid advancement, his decoration, the well-deserved recognition of three particularly daring expeditions of exploration to Tebesti and the Air; and suddenly, the mysterious drama of his fourth expedition, that famous mission undertaken with Captain Morhange, from which only one of the explorers came back. Everything is forgotten quickly in France. That was at least six years ago. I had not heard Saint-Avit mentioned since. I had even supposed that he had left the army. And now, I was to have him as my chief. "After all, what's the difference," I mused, "he or another! At school he was charming, and we have had only the most pleasant relationships. Besides, I haven't enough yearly income to afford the rank of Captain." And I left the office, whistling as I went. * * * * * We were now, Chatelain and I, our guns resting on the already cooling earth, beside the pool that forms the center of the meager oasis, hidden behind a kind of hedge of alfa. The setting sun was reddening the stagnant ditches which irrigate the poor garden plots of the sedentary blacks. Not a word during the approach. Not a word during the shoot. Chatelain was obviously sulking. In silence we knocked down, one after the other, several of the miserable doves which came on dragging wings, heavy with the heat of the day, to quench their thirst at the thick green water. When a half-dozen slaughtered little bodies were lined up at our feet I put my hand on the Sergeant's shoulder. "Chatelain!" He trembled. "Chatelain, I was rude to you a little while ago. Don't be angry. It was the bad time before the siesta. The bad time of midday." "The Lieutenant is master here," he answered in a tone that was meant to be gruff, but which was only strained. "Chatelain, don't be angry. You have something to say to me. You know what I mean." "I don't know really. No, I don't know." "Chatelain, Chatelain, why not be sensible? Tell me something about Captain de Saint-Avit." "I know nothing." He spoke sharply. "Nothing? Then what were you saying a little while ago?" "Captain de Saint-Avit is a brave man." He muttered the words with his head still obstinately bent. "He went alone to Bilma, to the Air, quite alone to those places where no one had ever been. He is a brave man." "He is a brave man, undoubtedly," I answered with great restraint. "But he murdered his companion, Captain Morhange, did he not?" The old Sergeant trembled. "He is a brave man," he persisted. "Chatelain, you are a child. Are you afraid that I am going to repeat what you say to your new Captain?" I had touched him to the quick. He drew himself up. "Sergeant Chatelain is afraid of no one, Lieutenant. He has been at Abomey, against the Amazons, in a country where a black arm started out from every bush to seize your leg, while another cut it off for you with one blow of a cutlass." "Then what they say, what you yourself--" "That is talk." "Talk which is repeated in France, Chatelain, everywhere." He bent his head still lower without replying. "Ass," I burst out, "will you speak?" "Lieutenant, Lieutenant," he fairly pled, "I swear that what I know, or nothing--" "What you know you are going to tell me, and right away. If not, I give you my word of honor that, for a month, I shall not speak to you except on official business." Hassi-Inifel: thirty native Arabs and four Europeans--myself, the Sergeant, a Corporal, and Gourrut. The threat was terrible. It had its effect. "All right, then, Lieutenant," he said with a great sigh. "But afterwards you must not blame me for having told you things about a superior which should not be told and come only from the talk I overheard at mess." "Tell away." "It was in 1899. I was then Mess Sergeant at Sfax, with the 4th Spahis. I had a good record, and besides, as I did not drink, the Adjutant had assigned me to the officers' mess. It was a soft berth. The marketing, the accounts, recording the library books which were borrowed (there weren't many), and the key of the wine cupboard,--for with that you can't trust orderlies. The Colonel was young and dined at mess. One evening he came in late, looking perturbed, and, as soon as he was seated, called for silence: "'Gentlemen,' he said, 'I have a communication to make to you, and I shall ask for your advice. Here is the question. Tomorrow morning the _City of Naples_ lands at Sfax. Aboard her is Captain de Saint-Avit, recently assigned to Feriana, en route to his post.' "The Colonel paused. 'Good,' thought I, 'tomorrow's menu is about to be considered.' For you know the custom, Lieutenant, which has existed ever since there have been any officers' clubs in Africa. When an officer is passing by, his comrades go to meet him at the boat and invite him to remain with them for the length of his stay in port. He pays his score in news from home. On such occasions everything is of the best, even for a simple lieutenant. At Sfax an officer on a visit meant--one extra course, vintage wine and old liqueurs. "But this time I imagined from the looks the officers exchanged that perhaps the old stock would stay undisturbed in its cupboard. "'You have all, I think, heard of Captain de Saint-Avit, gentlemen, and the rumors about him. It is not for us to inquire into them, and the promotion he has had, his decoration if you will, permits us to hope that they are without foundation. But between not suspecting an officer of being a criminal, and receiving him at our table as a comrade, there is a gulf that we are not obliged to bridge. That is the matter on which I ask your advice.' "There was silence. The officers looked at each other, all of them suddenly quite grave, even to the merriest of the second lieutenants. In the corner, where I realized that they had forgotten me, I tried not to make the least sound that might recall my presence. "'We thank you, Colonel,' one of the majors finally replied, 'for your courtesy in consulting us. All my comrades, I imagine, know to what terrible rumors you refer. If I may venture to say so, in Paris at the Army Geographical Service, where I was before coming here, most of the officers of the highest standing had an opinion on this unfortunate matter which they avoided stating, but which cast no glory upon Captain de Saint-Avit.' "'I was at Bammako, at the time of the Morhange-Saint-Avit mission,' said a Captain. 'The opinion of the officers there, I am sorry to say, differed very little from what the Major describes. But I must add that they all admitted that they had nothing but suspicions to go on. And suspicions are certainly not enough considering the atrocity of the affair.' "'They are quite enough, gentlemen,' replied the Colonel, 'to account for our hesitation. It is not a question of passing judgment; but no man can sit at our table as a matter of right. It is a privilege based on fraternal esteem. The only question is whether it is your decision to accord it to Saint-Avit.' "So saying, he looked at the officers, as if he were taking a roll call. One after another they shook their heads. "'I see that we agree,' he said. 'But our task is unfortunately not yet over. The _City of Naples_ will be in port tomorrow morning. The launch which meets the passengers leaves at eight o'clock. It will be necessary, gentlemen, for one of you to go aboard. Captain de Saint-Avit might be expecting to come to us. We certainly have no intention of inflicting upon him the humiliation of refusing him, if he presented himself in expectation of the customary reception. He must be prevented from coming. It will be wisest to make him understand that it is best for him to stay aboard.' "The Colonel looked at the officers again. They could not but agree. But how uncomfortable each one looked! "'I cannot hope to find a volunteer among you for this kind of mission, so I am compelled to appoint some one. Captain Grandjean, Captain de Saint-Avit is also a Captain. It is fitting that it be an officer of his own rank who carries him our message. Besides, you are the latest comer here. Therefore it is to you that I entrust this painful interview. I do not need to suggest that you conduct it as diplomatically as possible.' "Captain Grandjean bowed, while a sigh of relief escaped from all the others. As long as the Colonel stayed in the room Grandjean remained apart, without speaking. It was only after the chief had departed that he let fall the words: "'There are some things that ought to count a good deal for promotion.' "The next day at luncheon everyone was impatient for his return. "'Well?' demanded the Colonel, briefly. "Captain Grandjean did not reply immediately. He sat down at the table where his comrades were mixing their drinks, and he, a man notorious for sobriety, drank almost at a gulp, without waiting for the sugar to melt, a full glass of absinthe. "'Well, Captain?' repeated the Colonel. "'Well, Colonel, it's done. You can be at ease. He will not set foot on shore. But, ye gods, what an ordeal!' "The officers did not dare speak. Only their looks expressed their anxious curiosity. "Captain Grandjean poured himself a swallow of water. "'You see, I had gotten my speech all ready, in the launch. But as I went up the ladder I knew that I had forgotten it. Saint-Avit was in the smoking-room, with the Captain of the boat. It seemed to me that I could never find the strength to tell him, when I saw him all ready to go ashore. He was in full dress uniform, his sabre lay on the bench and he was wearing spurs. No one wears spurs on shipboard. I presented myself and we exchanged several remarks, but I must have seemed somewhat strained for from the first moment I knew that he sensed something. Under some pretext he left the Captain, and led me aft near the great rudder wheel. There, I dared speak. Colonel, what did I say? How I must have stammered! He did not look at me. Leaning his elbows on the railing he let his eyes wander far off, smiling slightly. Then, of a sudden, when I was well tangled up in explanations, he looked at me coolly and said: "'I must thank you, my dear fellow, for having given yourself so much trouble. But it is quite unnecessary. I am out of sorts and have no intention of going ashore. At least, I have the pleasure of having made your acquaintance. Since I cannot profit by your hospitality, you must do me the favor of accepting mine as long as the launch stays by the vessel.' "Then we went back to the smoking-room. He himself mixed the cocktails. He talked to me. We discovered that we had mutual acquaintances. Never shall I forget that face, that ironic and distant look, that sad and melodious voice. Ah! Colonel, gentlemen, I don't know what they may say at the Geographic Office, or in the posts of the Soudan.... There can be nothing in it but a horrible suspicion. Such a man, capable of such a crime,--believe me, it is not possible. "That is all, Lieutenant," finished Chatelain, after a silence. "I have never seen a sadder meal than that one. The officers hurried through lunch without a word being spoken, in an atmosphere of depression against which no one tried to struggle. And in this complete silence, you could see them always furtively watching the _City of Naples_, where she was dancing merrily in the breeze, a league from shore. "She was still there in the evening when they assembled for dinner, and it was not until a blast of the whistle, followed by curls of smoke escaping from the red and black smokestack had announced the departure of the vessel for Gabes, that conversation was resumed; and even then, less gaily than usual. "After that, Lieutenant, at the Officers' Club at Sfax, they avoided like the plague any subject which risked leading the conversation back to Captain de Saint-Avit." Chatelain had spoken almost in a whisper, and the little people of the desert had not heard this singular history. It was an hour since we had fired our last cartridge. Around the pool the turtle doves, once more reassured, were bathing their feathers. Mysterious great birds were flying under the darkening palm trees. A less warm wind rocked the trembling black palm branches. We had laid aside our helmets so that our temples could welcome the touch of the feeble breeze. "Chatelain," I said, "it is time to go back to the bordj." Slowly we picked up the dead doves. I felt the Sergeant looking at me reproachfully, as if regretting that he had spoken. Yet during all the time that our return trip lasted, I could not find the strength to break our desolate silence with a single word. The night had almost fallen when we arrived. The flag which surmounted the post was still visible, drooping on its standard, but already its colors were indistinguishable. To the west the sun had disappeared behind the dunes gashed against the black violet of the sky. When we had crossed the gate of the fortifications, Chatelain left me. "I am going to the stables," he said. I returned alone to that part of the fort where the billets for the Europeans and the stores of ammunition were located. An inexpressible sadness weighed upon me. I thought of my comrades in French garrisons. At this hour they must be returning home to find awaiting them, spread out upon the bed, their dress uniform, their braided tunic, their sparkling epaulettes. "Tomorrow," I said to myself, "I shall request a change of station." The stairway of hard-packed earth was already black. But a few gleams of light still seemed palely prowling in the office when I entered. A man was sitting at my desk, bending over the files of orders. His back was toward me. He did not hear me enter. "Really, Gourrut, my lad, I beg you not to disturb yourself. Make yourself completely at home." The man had risen, and I saw him to be quite tall, slender and very pale. "Lieutenant Ferrieres, is it not?" He advanced, holding out his hand. "Captain de Saint-Avit. Delighted, my dear fellow." At the same time Chatelain appeared on the threshold. "Sergeant," said the newcomer, "I cannot congratulate you on the little I have seen. There is not a camel saddle which is not in want of buckles, and they are rusty enough to suggest that it rains at Hassi-Inifel three hundred days in the year. Furthermore, where were you this afternoon? Among the four Frenchmen who compose the post, I found only on my arrival one convict, opposite a quart of eau-de-vie. We will change all that, I hope. At ease." "Captain," I said, and my voice was colorless, while Chatelain remained frozen at attention, "I must tell you that the Sergeant was with me, that it is I who am responsible for his absence from the post, that he is an irreproachable non-commissioned officer from every point of view, and that if we had been warned of your arrival--" "Evidently," he said, with a coldly ironical smile. "Also, Lieutenant, I have no intention of holding him responsible for the negligences which attach to your office. He is not obliged to know that the officer who abandons a post like Hassi-Inifel, if it is only for two hours, risks not finding much left on his return. The Chaamba brigands, my dear sir, love firearms, and for the sake of the sixty muskets in your racks, I am sure they would not scruple to make an officer, whose otherwise excellent record is well known to me, account for his absence to a court-martial. Come with me, if you please. We will finish the little inspection I began too rapidly a little while ago." He was already on the stairs. I followed in his footsteps. Chatelain closed the order of march. I heard him murmuring, in a tone which you can imagine: "Well, we are in for it now!" |
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| BOOK ONE THE COMING OF THE MARTIANS. CHAPTER ONE THE EVE OF THE WAR
The planet Mars, I scarcely need remind the reader, revolves about the sun at a mean distance of 140,000,000 miles, and the light and heat it receives from the sun is barely half of that received by this world. It must be, if the nebular hypothesis has any truth, older than our world; and long before this earth ceased to be molten, life upon its surface must have begun its course. The fact that it is scarcely one seventh of the volume of the earth must have accelerated its cooling to the temperature at which life could begin. It has air and water and all that is necessary for the support of animated existence. Yet so vain is man, and so blinded by his vanity, that no writer, up to the very end of the nineteenth century, expressed any idea that intelligent life might have developed there far, or indeed at all, beyond its earthly level. Nor was it generally understood that since Mars is older than our earth, with scarcely a quarter of the superficial area and remoter from the sun, it necessarily follows that it is not only more distant from time's beginning but nearer its end. The secular cooling that must someday overtake our planet has already gone far indeed with our neighbour. Its physical condition is still largely a mystery, but we know now that even in its equatorial region the midday temperature barely approaches that of our coldest winter. Its air is much more attenuated than ours, its oceans have shrunk until they cover but a third of its surface, and as its slow seasons change huge snowcaps gather and melt about either pole and periodically inundate its temperate zones. That last stage of exhaustion, which to us is still incredibly remote, has become a present-day problem for the inhabitants of Mars. The immediate pressure of necessity has brightened their intellects, enlarged their powers, and hardened their hearts. And looking across space with instruments, and intelligences such as we have scarcely dreamed of, they see, at its nearest distance only 35,000,000 of miles sunward of them, a morning star of hope, our own warmer planet, green with vegetation and grey with water, with a cloudy atmosphere eloquent of fertility, with glimpses through its drifting cloud wisps of broad stretches of populous country and narrow, navy-crowded seas. And we men, the creatures who inhabit this earth, must be to them at least as alien and lowly as are the monkeys and lemurs to us. The intellectual side of man already admits that life is an incessant struggle for existence, and it would seem that this too is the belief of the minds upon Mars. Their world is far gone in its cooling and this world is still crowded with life, but crowded only with what they regard as inferior animals. To carry warfare sunward is, indeed, their only escape from the destruction that, generation after generation, creeps upon them. And before we judge of them too harshly we must remember what ruthless and utter destruction our own species has wrought, not only upon animals, such as the vanished bison and the dodo, but upon its inferior races. The Tasmanians, in spite of their human likeness, were entirely swept out of existence in a war of extermination waged by European immigrants, in the space of fifty years. Are we such apostles of mercy as to complain if the Martians warred in the same spirit? The Martians seem to have calculated their descent with amazing subtlety--their mathematical learning is evidently far in excess of ours--and to have carried out their preparations with a well-nigh perfect unanimity. Had our instruments permitted it, we might have seen the gathering trouble far back in the nineteenth century. Men like Schiaparelli watched the red planet--it is odd, by-the-bye, that for countless centuries Mars has been the star of war--but failed to interpret the fluctuating appearances of the markings they mapped so well. All that time the Martians must have been getting ready. During the opposition of 1894 a great light was seen on the illuminated part of the disk, first at the Lick Observatory, then by Perrotin of Nice, and then by other observers. English readers heard of it first in the issue of Nature dated August 2. I am inclined to think that this blaze may have been the casting of the huge gun, in the vast pit sunk into their planet, from which their shots were fired at us. Peculiar markings, as yet unexplained, were seen near the site of that outbreak during the next two oppositions. The storm burst upon us six years ago now. As Mars approached opposition, Lavelle of Java set the wires of the astronomical exchange palpitating with the amazing intelligence of a huge outbreak of incandescent gas upon the planet. It had occurred towards midnight of the twelfth; and the spectroscope, to which he had at once resorted, indicated a mass of flaming gas, chiefly hydrogen, moving with an enormous velocity towards this earth. This jet of fire had become invisible about a quarter past twelve. He compared it to a colossal puff of flame suddenly and violently squirted out of the planet, "as flaming gases rushed out of a gun." A singularly appropriate phrase it proved. Yet the next day there was nothing of this in the papers except a little note in the Daily Telegraph, and the world went in ignorance of one of the gravest dangers that ever threatened the human race. I might not have heard of the eruption at all had I not met Ogilvy, the well-known astronomer, at Ottershaw. He was immensely excited at the news, and in the excess of his feelings invited me up to take a turn with him that night in a scrutiny of the red planet. In spite of all that has happened since, I still remember that vigil very distinctly: the black and silent observatory, the shadowed lantern throwing a feeble glow upon the floor in the corner, the steady ticking of the clockwork of the telescope, the little slit in the roof--an oblong profundity with the stardust streaked across it. Ogilvy moved about, invisible but audible. Looking through the telescope, one saw a circle of deep blue and the little round planet swimming in the field. It seemed such a little thing, so bright and small and still, faintly marked with transverse stripes, and slightly flattened from the perfect round. But so little it was, so silvery warm--a pin's-head of light! It was as if it quivered, but really this was the telescope vibrating with the activity of the clockwork that kept the planet in view. As I watched, the planet seemed to grow larger and smaller and to advance and recede, but that was simply that my eye was tired. Forty millions of miles it was from us--more than forty millions of miles of void. Few people realise the immensity of vacancy in which the dust of the material universe swims. Near it in the field, I remember, were three faint points of light, three telescopic stars infinitely remote, and all around it was the unfathomable darkness of empty space. You know how that blackness looks on a frosty starlight night. In a telescope it seems far profounder. And invisible to me because it was so remote and small, flying swiftly and steadily towards me across that incredible distance, drawing nearer every minute by so many thousands of miles, came the Thing they were sending us, the Thing that was to bring so much struggle and calamity and death to the earth. I never dreamed of it then as I watched; no one on earth dreamed of that unerring missile. That night, too, there was another jetting out of gas from the distant planet. I saw it. A reddish flash at the edge, the slightest projection of the outline just as the chronometer struck midnight; and at that I told Ogilvy and he took my place. The night was warm and I was thirsty, and I went stretching my legs clumsily and feeling my way in the darkness, to the little table where the siphon stood, while Ogilvy exclaimed at the streamer of gas that came out towards us. That night another invisible missile started on its way to the earth from Mars, just a second or so under twenty-four hours after the first one. I remember how I sat on the table there in the blackness, with patches of green and crimson swimming before my eyes. I wished I had a light to smoke by, little suspecting the meaning of the minute gleam I had seen and all that it would presently bring me. Ogilvy watched till one, and then gave it up; and we lit the lantern and walked over to his house. Down below in the darkness were Ottershaw and Chertsey and all their hundreds of people, sleeping in peace. He was full of speculation that night about the condition of Mars, and scoffed at the vulgar idea of its having inhabitants who were signalling us. His idea was that meteorites might be falling in a heavy shower upon the planet, or that a huge volcanic explosion was in progress. He pointed out to me how unlikely it was that organic evolution had taken the same direction in the two adjacent planets. "The chances against anything manlike on Mars are a million to one," he said. Hundreds of observers saw the flame that night and the night after about midnight, and again the night after; and so for ten nights, a flame each night. Why the shots ceased after the tenth no one on earth has attempted to explain. It may be the gases of the firing caused the Martians inconvenience. Dense clouds of smoke or dust, visible through a powerful telescope on earth as little grey, fluctuating patches, spread through the clearness of the planet's atmosphere and obscured its more familiar features. Even the daily papers woke up to the disturbances at last, and popular notes appeared here, there, and everywhere concerning the volcanoes upon Mars. The seriocomic periodical Punch, I remember, made a happy use of it in the political cartoon. And, all unsuspected, those missiles the Martians had fired at us drew earthward, rushing now at a pace of many miles a second through the empty gulf of space, hour by hour and day by day, nearer and nearer. It seems to me now almost incredibly wonderful that, with that swift fate hanging over us, men could go about their petty concerns as they did. I remember how jubilant Markham was at securing a new photograph of the planet for the illustrated paper he edited in those days. People in these latter times scarcely realise the abundance and enterprise of our nineteenth-century papers. For my own part, I was much occupied in learning to ride the bicycle, and busy upon a series of papers discussing the probable developments of moral ideas as civilisation progressed. One night (the first missile then could scarcely have been 10,000,000 miles away) I went for a walk with my wife. It was starlight and I explained the Signs of the Zodiac to her, and pointed out Mars, a bright dot of light creeping zenithward, towards which so many telescopes were pointed. It was a warm night. Coming home, a party of excursionists from Chertsey or Isleworth passed us singing and playing music. There were lights in the upper windows of the houses as the people went to bed. From the railway station in the distance came the sound of shunting trains, ringing and rumbling, softened almost into melody by the distance. My wife pointed out to me the brightness of the red, green, and yellow signal lights hanging in a framework against the sky. It seemed so safe and tranquil. CHAPTER TWO THE FALLING STAR Then came the night of the first falling star. It was seen early in the morning, rushing over Winchester eastward, a line of flame high in the atmosphere. Hundreds must have seen it, and taken it for an ordinary falling star. Albin described it as leaving a greenish streak behind it that glowed for some seconds. Denning, our greatest authority on meteorites, stated that the height of its first appearance was about ninety or one hundred miles. It seemed to him that it fell to earth about one hundred miles east of him. I was at home at that hour and writing in my study; and although my French windows face towards Ottershaw and the blind was up (for I loved in those days to look up at the night sky), I saw nothing of it. Yet this strangest of all things that ever came to earth from outer space must have fallen while I was sitting there, visible to me had I only looked up as it passed. Some of those who saw its flight say it travelled with a hissing sound. I myself heard nothing of that. Many people in Berkshire, Surrey, and Middlesex must have seen the fall of it, and, at most, have thought that another meteorite had descended. No one seems to have troubled to look for the fallen mass that night. But very early in the morning poor Ogilvy, who had seen the shooting star and who was persuaded that a meteorite lay somewhere on the common between Horsell, Ottershaw, and Woking, rose early with the idea of finding it. Find it he did, soon after dawn, and not far from the sand pits. An enormous hole had been made by the impact of the projectile, and the sand and gravel had been flung violently in every direction over the heath, forming heaps visible a mile and a half away. The heather was on fire eastward, and a thin blue smoke rose against the dawn. The Thing itself lay almost entirely buried in sand, amidst the scattered splinters of a fir tree it had shivered to fragments in its descent. The uncovered part had the appearance of a huge cylinder, caked over and its outline softened by a thick scaly dun-coloured incrustation. It had a diameter of about thirty yards. He approached the mass, surprised at the size and more so at the shape, since most meteorites are rounded more or less completely. It was, however, still so hot from its flight through the air as to forbid his near approach. A stirring noise within its cylinder he ascribed to the unequal cooling of its surface; for at that time it had not occurred to him that it might be hollow. He remained standing at the edge of the pit that the Thing had made for itself, staring at its strange appearance, astonished chiefly at its unusual shape and colour, and dimly perceiving even then some evidence of design in its arrival. The early morning was wonderfully still, and the sun, just clearing the pine trees towards Weybridge, was already warm. He did not remember hearing any birds that morning, there was certainly no breeze stirring, and the only sounds were the faint movements from within the cindery cylinder. He was all alone on the common. Then suddenly he noticed with a start that some of the grey clinker, the ashy incrustation that covered the meteorite, was falling off the circular edge of the end. It was dropping off in flakes and raining down upon the sand. A large piece suddenly came off and fell with a sharp noise that brought his heart into his mouth. For a minute he scarcely realised what this meant, and, although the heat was excessive, he clambered down into the pit close to the bulk to see the Thing more clearly. He fancied even then that the cooling of the body might account for this, but what disturbed that idea was the fact that the ash was falling only from the end of the cylinder. And then he perceived that, very slowly, the circular top of the cylinder was rotating on its body. It was such a gradual movement that he discovered it only through noticing that a black mark that had been near him five minutes ago was now at the other side of the circumference. Even then he scarcely understood what this indicated, until he heard a muffled grating sound and saw the black mark jerk forward an inch or so. Then the thing came upon him in a flash. The cylinder was artificial--hollow--with an end that screwed out! Something within the cylinder was unscrewing the top! "Good heavens!" said Ogilvy. "There's a man in it--men in it! Half roasted to death! Trying to escape!" At once, with a quick mental leap, he linked the Thing with the flash upon Mars. The thought of the confined creature was so dreadful to him that he forgot the heat and went forward to the cylinder to help turn. But luckily the dull radiation arrested him before he could burn his hands on the still-glowing metal. At that he stood irresolute for a moment, then turned, scrambled out of the pit, and set off running wildly into Woking. The time then must have been somewhere about six o'clock. He met a waggoner and tried to make him understand, but the tale he told and his appearance were so wild--his hat had fallen off in the pit--that the man simply drove on. He was equally unsuccessful with the potman who was just unlocking the doors of the public-house by Horsell Bridge. The fellow thought he was a lunatic at large and made an unsuccessful attempt to shut him into the taproom. That sobered him a little; and when he saw Henderson, the London journalist, in his garden, he called over the palings and made himself understood. "Henderson," he called, "you saw that shooting star last night?" "Well?" said Henderson. "It's out on Horsell Common now." "Good Lord!" said Henderson. "Fallen meteorite! That's good." "But it's something more than a meteorite. It's a cylinder--an artificial cylinder, man! And there's something inside." Henderson stood up with his spade in his hand. "What's that?" he said. He was deaf in one ear. Ogilvy told him all that he had seen. Henderson was a minute or so taking it in. Then he dropped his spade, snatched up his jacket, and came out into the road. The two men hurried back at once to the common, and found the cylinder still lying in the same position. But now the sounds inside had ceased, and a thin circle of bright metal showed between the top and the body of the cylinder. Air was either entering or escaping at the rim with a thin, sizzling sound. They listened, rapped on the scaly burnt metal with a stick, and, meeting with no response, they both concluded the man or men inside must be insensible or dead. Of course the two were quite unable to do anything. They shouted consolation and promises, and went off back to the town again to get help. One can imagine them, covered with sand, excited and disordered, running up the little street in the bright sunlight just as the shop folks were taking down their shutters and people were opening their bedroom windows. Henderson went into the railway station at once, in order to telegraph the news to London. The newspaper articles had prepared men's minds for the reception of the idea. By eight o'clock a number of boys and unemployed men had already started for the common to see the "dead men from Mars." That was the form the story took. I heard of it first from my newspaper boy about a quarter to nine when I went out to get my Daily Chronicle. I was naturally startled, and lost no time in going out and across the Ottershaw bridge to the sand pits. |

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