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

Author : Emil Artin
Publisher :
ISBN 13 : 9781950217021
Total Pages : 54 pages
Book Rating : 4.2/5 (17 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 2020-02 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author Emil Artin is known as one of the greatest mathematicians of the 20th century. He is regarded as a man who gave a modern outlook to Galois theory. Original lectures by the master. This emended edition is with completely new typesetting and corrections. The free PDF file available on the publisher's website www.bowwowpress.org

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.

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.

Galois Theory

Author : Harold M. Edwards
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Galois Theory by : Harold M. Edwards

Download or read book Galois Theory written by Harold M. Edwards and published by . This book was released on 1984 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Visual Group Theory

Author : Nathan Carter
Publisher : American Mathematical Soc.
ISBN 13 : 1470464330
Total Pages : 295 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Visual Group Theory by : Nathan Carter

Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Why Beauty Is Truth

Author : Ian Stewart
Publisher :
ISBN 13 : 0465082378
Total Pages : 306 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Why Beauty Is Truth by : Ian Stewart

Download or read book Why Beauty Is Truth written by Ian Stewart and published by . This book was released on 2008-04-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics.

Beyond the Quartic Equation

Author : R. Bruce King
Publisher : Springer Science & Business Media
ISBN 13 : 0817648496
Total Pages : 159 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Beyond the Quartic Equation by : R. Bruce King

Download or read book Beyond the Quartic Equation written by R. Bruce King and published by Springer Science & Business Media. This book was released on 2009-01-16 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist

God Created The Integers

Author : Stephen Hawking
Publisher : Running Press Adult
ISBN 13 : 0762432721
Total Pages : 1053 pages
Book Rating : 4.7/5 (624 download)

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Book Synopsis God Created The Integers by : Stephen Hawking

Download or read book God Created The Integers written by Stephen Hawking and published by Running Press Adult. This book was released on 2007-03-29 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.

Galois Theory Through Exercises

Author : Juliusz Brzeziński
Publisher : Springer
ISBN 13 : 331972326X
Total Pages : 296 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Galois Theory Through Exercises by : Juliusz Brzeziński

Download or read book Galois Theory Through Exercises written by Juliusz Brzeziński and published by Springer. This book was released on 2018-03-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell's proof of non-solvability by radicals of quintic equations, Tschirnhausen's transformations, lunes of Hippocrates, and Galois' resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.

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.

A Book of Abstract Algebra

Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Abstract Algebra by : Charles C Pinter

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

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.

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