The Mathematical Writings Of Evariste Galois

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The Mathematical Writings of Évariste Galois

Author : Évariste Galois
Publisher : European Mathematical Society
ISBN 13 : 9783037191040
Total Pages : 426 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis The Mathematical Writings of Évariste Galois by : Évariste Galois

Download or read book The Mathematical Writings of Évariste Galois written by Évariste Galois and published by European Mathematical Society. This book was released on 2011 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.

Evariste Galois 1811–1832

Author : Laura Toti Rigatelli
Publisher : Birkhäuser
ISBN 13 : 3034891989
Total Pages : 161 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Evariste Galois 1811–1832 by : Laura Toti Rigatelli

Download or read book Evariste Galois 1811–1832 written by Laura Toti Rigatelli and published by Birkhäuser. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Whom the Gods Love

Author : Leopold Infeld
Publisher :
ISBN 13 :
Total Pages : 323 pages
Book Rating : 4.:/5 (78 download)

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Book Synopsis Whom the Gods Love by : Leopold Infeld

Download or read book Whom the Gods Love written by Leopold Infeld and published by . This book was released on 1948 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galois Theory for Beginners

Author : Jörg Bewersdorff
Publisher : American Mathematical Soc.
ISBN 13 : 0821838172
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Galois Theory for Beginners by : Jörg Bewersdorff

Download or read book Galois Theory for Beginners written by Jörg Bewersdorff and published by American Mathematical Soc.. This book was released on 2006 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. This book follows the historical development of the theory, emphasizing concrete examples along the way. It is suitable for undergraduates and beginning graduate students.

The French Mathematician

Author : Tom Petsinis
Publisher : Berkley Trade
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The French Mathematician by : Tom Petsinis

Download or read book The French Mathematician written by Tom Petsinis and published by Berkley Trade. This book was released on 2000 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in historical detail and bursting with intellectual passion, this captivating novel describes a genius's valiant quest for truth in post-Napoleon France, a turbulent and uncertain era that in many ways mirrors the world today.

Galois Theory

Author : Emil Artin
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Galois Theory by : Emil Artin

Download or read book Galois Theory written by Emil Artin and published by . This book was released on 1948 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Duel at Dawn

Author : Amir Alexander
Publisher : Harvard University Press
ISBN 13 : 0674061748
Total Pages : 320 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Duel at Dawn by : Amir Alexander

Download or read book Duel at Dawn written by Amir Alexander and published by Harvard University Press. This book was released on 2011-10-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fog of a Paris dawn in 1832, variste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.

The Equation That Couldn't Be Solved

Author : Mario Livio
Publisher : Simon and Schuster
ISBN 13 : 0743274628
Total Pages : 367 pages
Book Rating : 4.7/5 (432 download)

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Book Synopsis The Equation That Couldn't Be Solved by : Mario Livio

Download or read book The Equation That Couldn't Be Solved written by Mario Livio and published by Simon and Schuster. This book was released on 2005-09-19 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Fields and Galois Theory

Author : John M. Howie
Publisher : Springer Science & Business Media
ISBN 13 : 1852339861
Total Pages : 230 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Fields and Galois Theory by : John M. Howie

Download or read book Fields and Galois Theory written by John M. Howie and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis on clear explanations Features plenty of worked examples and exercises, complete with full solutions, to encourage independent study Previous books by Howie in the SUMS series have attracted excellent reviews

Orders of Infinity

Author : Godfrey Harold Hardy
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Orders of Infinity by : Godfrey Harold Hardy

Download or read book Orders of Infinity written by Godfrey Harold Hardy and published by . This book was released on 1910 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Riccati Equations

Author : Peter Lancaster
Publisher : Clarendon Press
ISBN 13 : 0191591254
Total Pages : 502 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Algebraic Riccati Equations by : Peter Lancaster

Download or read book Algebraic Riccati Equations written by Peter Lancaster and published by Clarendon Press. This book was released on 1995-09-07 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions. The second and third parts form the core of the book and concern the solutions of algebraic Riccati equations arising from continuous and discrete systems. The geometric theory and iterative analysis are both developed in detail. The last part of the book is an exciting collection of eight problem areas in which algebraic Riccati equations play a crucial role. These applications range from introductions to the classical linear quadratic regulator problems and the discrete Kalman filter to modern developments in HD*W*w control and total least squares methods.

Math Girls 5

Author : Hiroshi Yuki
Publisher : Math Girls
ISBN 13 : 9781939326478
Total Pages : 436 pages
Book Rating : 4.3/5 (264 download)

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Book Synopsis Math Girls 5 by : Hiroshi Yuki

Download or read book Math Girls 5 written by Hiroshi Yuki and published by Math Girls. This book was released on 2021-11-15 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth entry in the highly acclaimed Math Girls series focuses on the mathematics of Évariste Galois, the nineteenth-century wunderkind who revolutionized mathematics with work he performed while still a teenager. Mathematicians before him had discovered solutions to general second-, third-, and fourth-degree equations, but a similar "quintic formula" that would allow knowing the solutions to any fifth-degree equation had eluded mathematicians for centuries. Through his ingenious approach of bridging the worlds of groups and fields, young Galois not only showed that such a formula was impossible, he newly developed group theory and the branch of mathematics that today bears his name. Join Miruka and friends to see how Galois developed his theory, along with related topics such as geometric constructions and the angle trisection problem, derivation of the cubic formula, reducible and irreducible polynomials, group theory and field theory, symmetric polynomials, roots of unity, sets and cosets, cyclotomic polynomials, vector spaces, extension fields, and symmetric groups. The book concludes with a tour through Galois's first paper, in which he describes for the first time the necessary and sufficient conditions for a polynomial to be algebraically solved using radicals. Math Girls 5: Galois Theory has something for anyone interested in mathematics, from advanced high school to college students and educators.

Galois' Theory of Algebraic Equations

Author : Jean-Pierre Tignol
Publisher : World Scientific Publishing Company
ISBN 13 : 9814704717
Total Pages : 324 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Galois' Theory of Algebraic Equations by : Jean-Pierre Tignol

Download or read book Galois' Theory of Algebraic Equations written by Jean-Pierre Tignol and published by World Scientific Publishing Company. This book was released on 2015-12-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as "group" and "field". A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory. In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.

A Contextual History of Mathematics

Author : Ronald Calinger
Publisher : Pearson
ISBN 13 : 9780023182853
Total Pages : 0 pages
Book Rating : 4.1/5 (828 download)

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Book Synopsis A Contextual History of Mathematics by : Ronald Calinger

Download or read book A Contextual History of Mathematics written by Ronald Calinger and published by Pearson. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This history of mathematics stresses the historical imperative as to why maths happened from its beginnings to 1800 in Europe and beyond.

Mathematical Works of Evariste Galois

Author : Évariste Galois
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Works of Evariste Galois by : Évariste Galois

Download or read book Mathematical Works of Evariste Galois written by Évariste Galois and published by . This book was released on 1988 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematicians are People, Too

Author : Luetta Reimer
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Mathematicians are People, Too by : Luetta Reimer

Download or read book Mathematicians are People, Too written by Luetta Reimer and published by . This book was released on 1990 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looks at the history of mathematical discoveries and the lives of great mathematicians.

Circles Disturbed

Author : Apostolos Doxiadis
Publisher : Princeton University Press
ISBN 13 : 1400842689
Total Pages : 593 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Circles Disturbed by : Apostolos Doxiadis

Download or read book Circles Disturbed written by Apostolos Doxiadis and published by Princeton University Press. This book was released on 2012-03-18 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why narrative is essential to mathematics Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds—stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of "myths of origins" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.