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Evariste Galois' short life was lived against the turbulent background of the restoration of the Bourbons to the throne of France, the 1830 revolution in Paris and the accession of Louis-Phillipe. This new and scrupulously researched biography of the founder of modern algebra sheds much light on a life led with great intensity and a death met tragically under dark circumstances. Sorting speculation from documented fact, it offers the fullest and most exacting account ever written of Galois' life and work. It took more than seventy years to fully understand the French mathematician's first mémoire (published in 1846) which formulated the famous "Galois theory" concerning the solvability of algebraic equations by radicals, from which group theory would follow. Obscurities in his other writings - mémoires and numerous fragments of extant papers - persist and his ideas challenge mathematicians to this day. Thus scholars will welcome those chapters devoted specifically to explicating all aspects of Galois' work. A comprehensive bibliography enumerates studies by and also those about the mathematician. ... Read more

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An excellent and enjoyable account...
of one of the strangest chapters in the history of mathematics. For those who know of Galois' life only from E.T.Bell's telling this work will hold surprises and serve to part his overly romantic fog with the clear light ofsolid scholarship. ... Read more

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This Book Is In French. ... Read more

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This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Customer Reviews (1)

The short life of Evariste Galois.
When asked, friends tell me that they think a mathematician or a scientist would typically have lived a long, and comfortable life. Perhaps that is so, but far from all the time: not now, not a hundred, or two hundred years ago. In mathematics, two romantic heros stand out, N. H. Abel, and Evariste Galois. Both lived at the start of the Nineteenth Century, and both died tragically, Galois in a duel.
The author Infeld is a romantic, and great writer; and he happens to also be a scientist. In addition to this book, Leopold Infeld wrote other captivating books. He was one of the first scientists who sucessfully intertwined science with popular writing. Infeld himself escaped from the Jewish Ghetto in Cracow, Poland, at the time of WWI. As he matured, he lived as a refugee scientist and writer, and miraculously overcame an incredible web of adversities that were stacked up against him.
Other books by Infeld include an autobiography, called "Quest", and a popular science book, "The Evolution of Physics", co-authored with Albert Einstein. Both books were bestsellers when they first appeared. I stumbled over Infeld's Galois biography purely by accident: Started to read late in the evening, were immediately hooked, and I didn't put the book down until the end, at sunrise. In the book we read about the last night of Galois's short life, the night before his fatal duel the next morning ("There is so little time" he wrote!). The young Galois hurriedly scribbled his original and profound ideas of matheamtics, and he gained imortality through the power of his insight. The life of Evariste Galois is a truly captivating drama, and written by one of the great story tellers. I am convinced that Infeld's stories, and his books, are less well known than they deserve to be.
Review by Palle Jorgensen, October 2003. ... Read more

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High Quality Content by WIKIPEDIA articles! ÉvaristeGalois (October 25, 1811 – May 31, 1832)was a French mathematician born in Bourg-la-Reine. While still inhis teens, he was able to determine a necessary andsufficient condition for a polynomial to be solvable byradicals, thereby solving a long-standing problem.His work laid the foundations for Galois theory, a major branch ofabstract algebra, and the subfield of Galoisconnections. He was the first to use the word "group" as a technical term inmathematics to represent a group of permutations. A radical Republican during themonarchy of Louis Philippe in France, he died fromwounds suffered in a duel under shadowy circumstances at the age oftwenty. ... Read more

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Jean-François Champollion, Walter Scott, Évariste Galois, Napoleon Ii of France, Jeremy Bentham, Nicolas Léonard Sadi Carnot, Jean-Baptiste Say, Franz Xaver Von Zach, Muzio Clementi, Georges Cuvier, Johann Wolfgang Von Goethe, Lê Văn Duyệt, Charles Carroll of Carrollton, Samuel Sutton, Dora Stock, Charles Abbott, 1st Baron Tenterden, Serfoji Ii, Henry Eckford, Phillip Hamman, Friedrich Von Gentz, Gardiner Henry Guion, James Mackintosh, Manuel García, Henry Hellyer, Thomas Sumter, Henry Paulet, François Étienne de Rosily-Mesros, Thomas Kendall, Jacob Holgate, Ka'ahumanu, Barthold Georg Niebuhr, George Don, Henry Blackwood, Israel Pellew, Sri Vikrama Rajasinha of Sri Lanka, Johann Friedrich Cotta, Edward Griffith Colpoys, Maria Theresa of Austria-Este, Edward Fenwick, Russel Farnham, Casimir Pierre Perier, Molly Pitcher, Rasmus Christian Rask, Jean-Antoine Chaptal, Manuel de Mier Y Terán, William Grant, Elizabeth Parke Custis Law, Hardenack Otto Conrad Zinck, Emilia Plater, José de La Serna E Hinojosa, James Stephen, Charles William Barkley, James Livingston, John Giles Adams, Adam Payne, Jonathan Hunt, José Matías Delgado, Christian Graf Von Haugwitz, Antonio Scarpa, Hutchins Gordon Burton, John Hely-Hutchinson, 2nd Earl of Donoughmore, Philip Freneau, John Leslie, Shadrach Bond, Franz Joseph, Marquis de Lusignan, William Hennah, Yaakov Lorberbaum, Jean-Baptiste Chaigneau, Henry Dillon, 13th Viscount Dillon, Johann Michael Sailer, Francis Lathom, Charles Dundas, 1st Baron Amesbury, Robert Troup, Jean-Pierre Abel-Rémusat, Elijah Phillips, Landgravine Amalie of Hesse-Darmstadt, George Crabbe, John Hatley, Barnaba Oriani, Volant Vashon Ballard, Karl Christian Friedrich Krause, Adam Clarke, Princess Maria Anna of Saxony, Gabriel Richard, Sir James Hall, 4th Baronet, Joseph Hiester, ...More: http://booksllc.net/?id=19242322 ... Read more

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Clearly presented elements of one of the most penetrating concepts in modern mathematics include discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 ed.
... Read more

Customer Reviews (11)

Best text on this subject
In my opinion this is without a doubt the best text on the subject. Do not be fooled by the small size of this book. It is lean, to the point and refreshingly laconic. A masterpiece!

Not a Self-Contained Book on Galois Theory
Galois Theory is in traditional mathematical format. The major elements of the book are definitions, lemmas, theorems, and proofs. The book introduces the major topics of Galois Theory. They are fields, extension fields, splitting fields, unique decomposition of polynomials into irreducible factors, solvable groups, permutation groups, and solution of equations by radical.

The last part of the book contains the major results of Galois Theory with proofs using the theorems from the second part of the book. They are theorem 5: The polynomial f(x) is solvable by radicals if and only if its group is solvable; theorem 4: The symmetric group G on n letters is not solvable for n > 4; theorem 6: The group of the general equation of degree n is the symmetric group on n letters. The general equation of degree n is not solvable by radicals if n > 4.

This is my second Galois Theory book. What impress me most is the involvement to prove the major results of Galois Theory such as theorem 5 and theorem 6. In order to prove the theorems, mathematicians invent many mathematical objects. They are root, group, symmetric group, solvable group, field, extension field, splitting field, Kummer field/extension, Abelian group, normal subgroup, normal extension, factor/quotient group, homomorph, fixed field, extension by radicals field, and more. Nowadays, we put all these objects under the domain of abstract algebra.

The book is certainly not self-contained because one would need an abstract algebra textbook for reference to the mathematical objects.

Artin is the man
Any student (graduate or undergraduate) who is learning Galois theory will benefit greatly from reading this book. Artin has a very elegant style of writing and many parts of the book read like a novel. At its current price, there's no reason to not buy this book; you may actually want to buy a few extra copies as they make great gifts and/or stocking stuffers.

I would also recommend Artin's Geometric Algebra.

the source!
This is modern Galois Theory, straight from the horse's mouth! Galois Theory is taught today using field extensions rather than by actually solving polynomials, students also learn to view a field extension as a vector space over the smaller field; both of these things were pioneered by Artin. The book also has short, clear proofs of all the main theorems. The only problem is that there are no problems to work on, so I have to say this is only a good reference for Galois Theory.

Succinct exposition of modern Galois theory by a pioneer.
Emil Artin's short book gets a mention in most texts on
Galois theory. It is very short - only 60 odd pages. Yet
it is a very clear, complete and readable account of the
essential elements of modern Galois theory. It is based
on lectures he gave over 50 years ago but you might think
it was written only yesterday and is comprehensible to
anyone familiar with current abstract algebra terminology.
And the price makes it a bargain. There are no worked
examples, exercises or index here. ... Read more

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Chapters: Alexander Hamilton, Évariste Galois, Alexander Pushkin, Stephen Decatur, Mikhail Lermontov, Ferdinand Lassalle, Peter Tordenskjold, James Hamilton, 4th Duke of Hamilton, David C. Broderick, Alexander Stewart, Duke of Albany, Button Gwinnett, Juan Mackenna, Sir Henry Hobart, 4th Baronet, Charles Dickinson, Armistead Thomson Mason, Richard Dobbs Spaight, Lucius M. Walker, Jonathan Cilley, Sir Cholmeley Dering, 4th Baronet, Charles Mohun, 4th Baron Mohun, Emil Hartwich, Charles Lucas, George Lockhart, Armand Carrel, Euclides Da Cunha, Felice Cavallotti, Sir Arthur Forbes, 1st Baronet, Popham Seymour-Conway, Joshua Barton, George A. Waggaman, Robert Lyon, Henry Wharton Conway, Samuel Hamilton Walker, Richard Nugent, Lord Delvin, Martin Lichtenstein, Thomas Biddle, John Scott, John White, List of People Killed in Duels, Robert Brank Vance, Francis Talbot, 11th Earl of Shrewsbury, William A. Lake, John Blossett, Spencer Darwin Pettis, Henry Hervey Aston, Edward Gilbert, Sir Thomas Stradling, 6th Baronet. Source: Wikipedia. Pages: 219. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Alexander Hamilton (January 11, 1755 or 1757 July 12, 1804) was the first United States Secretary of the Treasury, a Founding Father, economist, and political philosopher. Aide-de-camp to General George Washington during the American Revolutionary War, he was a leader of nationalist forces calling for a new Constitution; he was one of America's first Constitutional lawyers, and wrote most of the Federalist Papers, a primary source for Constitutional interpretation. He was the financial expert of Washington's administration; the Federalist Party formed to support his policies. Born and raised in the Caribbean, Hamilton attended King's College (now Columbia University) in New York. At the start of the American ...More: http://booksllc.net/?id=40597 ... Read more

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In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and coding theory. The finite fields are classified by size; there is exactly one finite field up to isomorphism of size pk for each prime p and positive integer k. Each finite field of size q is the splitting field of the polynomial xq - x, and thus the fixed field of the Frobenius endomorphism which takes x to xq. Similarly, the multiplicative group of the field is a cyclic group. Wedderburn's little theorem states that the Brauer group of a finite field is trivial, so that every finite division ring is a finite field. Finite fields have applications in many areas of mathematics and computer science, including coding theory, LFSRs, modular representation theory, and the groups of Lie type. Finite fields are an active area of research, including recent results on the Kakeya conjecture and open problems on the size of the smallest primitive root. ... Read more

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High Quality Content by WIKIPEDIA articles! In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood. Originally Galois used permutation groups to describe how the various roots of a given polynomial equation are related to each other. The modern approach to Galois theory, developed by Richard Dedekind, Leopold Kronecker and Emil Artin, among others, involves studying automorphisms of field extensions. Further abstraction of Galois theory is achieved by the theory of Galois connections. ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Évariste Galois, Alexandre Pouchkine, Gabriel-Joseph Clément, Mikhaïl Lermontov, Ferdinand Lassalle, Armand Carrel, Louis Mathieu Dembowski, François-Charles Dulong, Louis Auguste de Bourbon, Henri D'angoulême. Non illustré. Mises à jour gratuites en ligne. Extrait : Évariste Galois (Bourg-la-Reine, 25 octobre 1811 - Paris, 31 mai 1832) est un mathématicien français. Il a entre autres laissé son nom à la théorie de Galois, qui étudie la résolubilité des équations algébriques à partir des groupes de permutations de leurs racines et qui est considérée comme un ingrédient important dans le point de vue structural des mathématiques modernes. Il a aussi contribué à l'élaboration des « corps de Galois », autre nom des corps finis, qui jouent par exemple un rôle essentiel en cryptographie. Les démêlés de Galois avec les autorités, tant scientifiques que politiques, les zones d'ombre entourant sa mort prématurée, contrastant avec l'importance reconnue maintenant à ses travaux, ont contribué à en faire l'incarnation même du génie malheureux. Sauf indication contraire, les renseignements qui suivent sont tirés de la principale source biographique due à Paul Dupuy. Évariste Galois naquit le 25 octobre 1811 à Bourg-la-Reine. C'était le deuxième enfant de Nicolas-Gabriel Galois, qui devint maire de Bourg-la-Reine en 1815, et de Adélaïde-Marie Demante, issue d'une famille de juristes. Il intégra en 1823 le collège Louis-le-Grand en classe de quatrième et obtint tout d'abord des prix en latin et en grec. Néanmoins, il redoubla sa seconde et, suite à une réforme pédagogique, suivit des cours de mathématiques qui le passionnèrent ; il commença à lire directement les travaux des mathématiciens, en particulier les Éléments de géométrie de...http://booksllc.net/?l=fr ... Read more

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Chapters: Rudolph Valentino, Harry Houdini, Évariste Galois, Pope John Xxiii, Edward Gibbon, Henry Wadsworth Longfellow, Walter Burley Griffin, Enrico Caruso, Anton Cermak, John C. Frémont, Frank Norris, Caleb V. Haynes, Frederic Remington, Dutch Schultz, Gheorghe Ursu, Jujiro Wada, Susannah Lattin, Henrietta Anne of England, Murder of Dennis Jurgens, Eben Smith, Rikidōzan, S. Parkes Cadman, Lawrence Hargrave, Sherwood Anderson, Akiyama Saneyuki, George Bellows, Adrian Goldsmith, Walter Reed, Albert Blithe, John C. C. Mayo, Reg Parnell, Jack Darragh, Henryk Sucharski, Death of Kenneth Pinyan, Prince Christian of Hanover, Oliver Percy Bernard, George Vasey, Jim Trickey, Virginia Rappe, Arlie Pond, Gianna Beretta Molla, Sir Frederick Treves, 1st Baronet, William Hope Harvey, Piet Joubert, Nephi Anderson, Gladys Brockwell, Tsuru Aoki, Garry David, Pavel Belyayev, Lady Cynthia Mosley, Francis Kilvert, Charles Floyd, Grant Williams, Lord William Beresford, Allen West, Lewis Grassic Gibbon, Hyrum M. Smith, Edmund James Banfield, Frank Doel, James Craig Watson, Thomas Cleeve, James William Good, Tony Sarg, Frances Ridley Havergal, Alexandrine-Jeanne D'étiolles, James Dunwoody Brownson Debow, Linda Loredo, William Webber, Caroline Grills, Commonwealth V. Twitchell, Chuck Willis, Roy Lane, Clara W. Beebe, José Gola, Asbury Latimer, Frank O'keeffe. Source: Wikipedia. Pages: 461. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Harry Houdini (March 24, 1874 - October 31, 1926) was a Hungarian-American magician and escapologist, stunt performer, actor and film producer. He was also a skeptic who set out to expose frauds purporting to be supernatural phenomena. Harry Houdini was born as Erik Weisz to a Jewish family in Budapest, Hungary. From 1907 on, however, Houdini would claim in interviews to have be...More: http://booksllc.net/?id=53395 ... Read more

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Chapters: Eddie Slovik, Marc Bloch, Évariste Galois, Joyce Kilmer, Paul Doumer, François Darlan, Pierre Laval, Symon Petliura, Alexander Berkman, Robert Brasillach, Henri Pélissier, Jack Drummond, Michel Ney, Alexander I of Yugoslavia, Salah Al-Din Al-Bitar, Schwartzbard Trial, Jean Jaurès, Pierre Bérégovoy, Francis, Duke of Guise, François Faber, Hanns-Martin Schleyer, Jean Bastien-Thiry, Louis Barthou, Pierre Goldman, Jean Cavaillès, Gérard Lebovici, Joseph Epstein, Nanterre Massacre, Pierre Molinier, Georges Besse, Armand Carrel, Ernst Vom Rath, Jacques Mathieu Delpech, Louis Philippe de Roffignac, Shahriar Shafiq, Outel Bono, Constant Chevillon, Jim Mooney, Murder of Ibrahim Ali, Jean de Broglie, Jules Dumont, Max Coyne. Source: Wikipedia. Pages: 259. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Pierre Laval (French pronunciation: ; 28 June 1883 15 October 1945) was a French politician. He was four times President of the council of ministers of the Third Republic, twice consecutively. Following France's Armistice with Germany in 1940, he served twice in the Vichy Regime as head of government, signing orders permitting the deportation of foreign Jews from French soil to the death camps. After Liberation (1945), he was arrested, found guilty of high treason, and executed by firing squad. The controversy surrounding his political activities has generated a dozen biographies. Laval was born 28 June 1883 at Châteldon, Puy-de-Dôme, in the northern part of Auvergne. His father worked in the village as a café proprietor, butcher, and postman, and owned a vineyard and horses. Laval was educated at the village school in Châteldon, then at the age of 15 he was sent to a Paris lycée to study for his baccalauréat, which he did not complete. Returning south to Lyon, he spent the next year reading...More: http://booksllc.net/?id=287859 ... Read more

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Le produit d'une rare alchimie entre un essayiste et un dessinateur. Pierre Berloquin analyse sans pudeur la pensée affective des mathématiciens, et Jean Gourmelin met sur papier les traits de son crayon métaphysique. Il en résulte un univers à la fois impensable et crédible, qui met en doute les bases même de la logique tout en leur donnant une forme palpable. 

Le titre du livre évoque la célèbre oeuvre de Freud, "Un souvenir d'enfance de Léonard de Vinci" qui prend prétexte de l'analyse d'un tableau du peintre pour démonter les rouages affectifs de la création artistique. Ici la personnalité emblématique d’Evariste Galois n’est évoquée que par le titre et ce sont les principes les plus fondamentaux de la pensée scientifique et mathématique qui sont soumis à l'épreuve de la grille analytique.

Comme les objets et les créatures de Gourmelin, les propos de Berloquin sont simples et désarmants. Ils ne sont pas du goût de ceux qui ont besoin de centaines de pages pour développer le début d'une idée. Les dessins et le texte ne laissent pas  lire ou regarder sans laisser de trace. Avec témérité, Berloquin remet en question la structure traditionnelle hiérarchique de notre pensée logique, qui pose des principes pour en déduire des lois et des théorèmes. Après cette lecture, il est difficile d'oublier qu'on peut douter de notre logique et qu'une autre est peut-être souhaitable.

Un livre audacieux.