Mémoire sur les équations résolubles algébriquement by M. Despeyrous

(5 User reviews)   3712
Despeyrous, M., 1815-1883 Despeyrous, M., 1815-1883
French
Ever wondered why some math problems just won't solve? In 1844, a French professor named Despeyrous published a paper that tried to crack a code mathematicians had chased for centuries. He wasn't just playing with numbers. He was hunting for the secret key that unlocks entire families of equations. Think of it as a detective story, but the clues are all hidden in algebra. Spoiler: The mystery was bigger than anyone realized, and the chase didn't end with him. This short, dense paper is a snapshot of a brilliant mind hitting a wall, and it shows just how stubborn and beautiful the search for truth can be.
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point of interest and value, must be placed the First Book of Maccabees. Written within fifty years of the events which it records, at a time, it must be remembered, that was singularly barren of historical literature, it is a careful, sober, and consistent narrative. It is our principal, not unfrequently our sole, authority for the incidents of a very important period, a period that was in the highest degree critical in the history of the Jewish nation and of the world which that nation has so largely influenced. It is commonly said that the great visitation of the Captivity finally destroyed in the Hebrew mind the tendency to idolatry. But the denunciations of Ezekiel prove to us that the exiles carried into the land of their captivity the evil which they had cherished in the land of their birth, and it is no less certain that they brought it back with them on their return. It grew to its height in the early part of the Second Century B.C., along with the increasing influence of Greek civilization in Western Asia. The feeble Jewish Commonwealth was more and more dominated by the powerful kingdoms which had been established on the ruins of the empire of Alexander, and the national religion was attacked by an enemy at least as dangerous as the Phœnician Baal-worship had been in earlier days, an enemy which may be briefly described by the word Hellenism. The story of how Judas and his brothers led the movement which rescued the Jewish faith from this peril is the story which we have endeavoured to tell in this volume. Our plan has been to follow strictly the lines of the First Book of Maccabees, going to the Second, a far less trustworthy document, only for some picturesque incidents. The subsidiary characters are fictitious, but the narrative is, we believe, apart from casual errors, historically correct. We have to acknowledge special obligations to Captain Conder’s “Judas Maccabæus,” a volume of the series entitled “The New Plutarch.” We also owe much to Canon Rawlinson’s notes in the “Speaker’s Commentary on the Bible,” to Canon Westcott’s articles in the “Dictionary of the Bible,” and to Dean Stanley’s “Lectures on the Jewish Church.” If any reader should be curious as to the literary partnership announced on the title-page—a partnership that has grown, so to speak, out of another of many years’ standing, shared by the writers as author and publisher—he may be informed that the plan of the story and a detailed outline of it have been contributed by Richmond Seeley, and the story itself written for the most part by Alfred Church. LONDON, _Sept. 3, 1889._ CONTENTS CHAP. PAGE I. A NEW ORDER OF THINGS 1 II. ANTIOCHUS 19 III. MENELAÜS 37 IV. AT ANTIOCH 49 V. THE WRATH TO COME 68 VI. THE EVIL DAYS 79 VII. THE DARKNESS THICKENS 90 VIII. SHALLUM THE WINE-SELLER 101 IX. THE PERSECUTION 113 X. IN THE MOUNTAINS 124 XI. NEWS BAD AND GOOD 135 XII. THE PATRIOT ARMY 148 XIII. GUERILLA WARFARE IN THE MOUNTAINS 159 XIV. THE BURIAL OF MATTATHIAS 171 XV. THE SWORD OF APOLLONIUS 184 XVI. NEWS FROM THE BATTLE-FIELD 193 XVII. THE BATTLE OF EMMAUS 208 XVIII. THE BATTLE OF BETH-ZUR 225 XIX. IN JERUSALEM 235 XX. THE CLEANSING OF THE TEMPLE 242 XXI. THE DEDICATION OF THE TEMPLE 254 XXII. WARS AND RUMOURS OF WARS 263 XXIII. MORE VICTORIES 274 XXIV. THE SABBATICAL YEAR 284 XXV. REVERSES 294 XXVI. LIGHT OUT OF DARKNESS 304 XXVII. A PEACEFUL INTERVAL 314 XXVIII. HOPES AND FEARS 323 XXIX. CIVIL WAR 331 XXX....

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Okay, let's be real. This isn't a book you curl up with on a rainy afternoon. It's a 19th-century academic paper, originally published in the Journal de Mathématiques Pures et Appliquées. But the story it tells is fascinating.

The Story

Imagine a puzzle that has stumped the smartest people for 300 years: which algebraic equations can you solve with a neat formula, like the quadratic formula we all learned in school? By the 1840s, mathematicians knew the rules for equations up to the 4th degree, but the 5th was a monster. Despeyrous, a professor in Toulouse, took a swing at it. His paper isn't about finding the formula itself. It's a deep, technical investigation into the specific conditions that would make such a formula possible. He was mapping the territory, trying to figure out where the treasure could be buried.

Why You Should Read It

Reading this feels like looking over the shoulder of a dedicated scholar. You can see the gears turning. It's humbling. Just a few years later, two young mathematicians, Abel and Galois, would prove conclusively that a general formula for the quintic is impossible. Despeyrous didn't know that yet. His work represents that last, intense effort of the old guard, trying to solve the puzzle with the tools they had. There's a quiet drama in that. It's a record of intelligent failure, which in science is just as important as success.

Final Verdict

This is a niche read, but a rewarding one. It's perfect for anyone interested in the history of science, who enjoys seeing how big ideas develop step-by-step. If you're a math student, it's a cool piece of context for your Galois theory course. For the general reader with curiosity about how puzzles get solved (or proven unsolvable), skimming through it offers a genuine connection to a real moment in intellectual history. Just don't expect a light beach read.



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The copyright for this book has expired, making it public property. It serves as a testament to our shared literary heritage.

Jessica Walker
1 year ago

As someone who reads a lot, the plot twists are genuinely surprising. I couldn't put it down.

Michelle Williams
9 months ago

I was skeptical at first, but the emotional weight of the story is balanced perfectly. A valuable addition to my collection.

Andrew Smith
9 months ago

This book was worth my time since the depth of research presented here is truly commendable. A valuable addition to my collection.

Sarah Smith
3 months ago

I stumbled upon this title and the plot twists are genuinely surprising. One of the best books I've read this year.

Mary Rodriguez
9 months ago

Very helpful, thanks.

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