The Mathematical Writings of Évariste Galois

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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.

Problèmes d'algèbre et exercices de calcul algébrique avec les solutions par m. Ritt

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Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 (9 download)

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Book Synopsis Problèmes d'algèbre et exercices de calcul algébrique avec les solutions par m. Ritt by : Georges Ritt

Download or read book Problèmes d'algèbre et exercices de calcul algébrique avec les solutions par m. Ritt written by Georges Ritt and published by . This book was released on 1847 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The System Of The World

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Publisher : Random House
ISBN 13 : 1446440443
Total Pages : 917 pages
Book Rating : 4.4/5 (464 download)

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Book Synopsis The System Of The World by : Neal Stephenson

Download or read book The System Of The World written by Neal Stephenson and published by Random House. This book was released on 2012-06-30 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neal Stephenson follows his highly-praised historical novels, Quicksilver and The Confusion, with the extraordinary third and final volume of the Baroque Cycle. The year is 1714. Daniel Waterhouse has returned to England, where he joins forces with his friend Isaac Newton to hunt down a shadowy group attempting to blow up Natural Philosophers with 'Infernal Devices' - time bombs. As Daniel and Newton conspire, an increasingly vicious struggle is waged for England's Crown: who will take control when the ailing queen dies? Tories and Whigs clash as one faction jockeys to replace Queen Anne with 'The Pretender' James Stuart, and the other promotes the Hanoverian dynasty of Princess Caroline. Meanwhile, a long-simmering dispute between Newton and Gottfried Wilhelm Leibniz comes to a head, with potentially cataclysmic consequences. Wildly inventive, brilliantly conceived, The System of the World is the final volume in Neal Stephenson's hugely ambitious and compelling saga. Filled with a remarkable cast of characters in a time of genius, discovery and change, the Baroque Cycle is a magnificent and unique achievement.

The First Three Sections of Newton's Principia

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Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The First Three Sections of Newton's Principia by : Isaac Newton

Download or read book The First Three Sections of Newton's Principia written by Isaac Newton and published by . This book was released on 1871 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Cardano's Great Art to Lagrange's Reflections

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Publisher : European Mathematical Society
ISBN 13 : 9783037190920
Total Pages : 244 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis From Cardano's Great Art to Lagrange's Reflections by : Jacqueline A. Stedall

Download or read book From Cardano's Great Art to Lagrange's Reflections written by Jacqueline A. Stedall and published by European Mathematical Society. This book was released on 2011 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.

Pangeometry

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Publisher : European Mathematical Society
ISBN 13 : 9783037190876
Total Pages : 332 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Pangeometry by : Nikolaĭ Ivanovich Lobachevskiĭ

Download or read book Pangeometry written by Nikolaĭ Ivanovich Lobachevskiĭ and published by European Mathematical Society. This book was released on 2010 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.

Thomas Harriot's Doctrine of Triangular Numbers

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Publisher : European Mathematical Society
ISBN 13 : 9783037190593
Total Pages : 150 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Thomas Harriot's Doctrine of Triangular Numbers by : Janet Beery

Download or read book Thomas Harriot's Doctrine of Triangular Numbers written by Janet Beery and published by European Mathematical Society. This book was released on 2009 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thomas Harriot (1560-1621) was a mathematician and astronomer who founded the English school of algebra. He is known not only for his work in algebra and geometry but also as a prolific writer with wide-ranging interests in ballistics, navigation, and optics. (He discovered the sine law of refraction now known as Snell's law.) By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled `De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is here reproduced for the first time. Commentary has been added to help the reader follow Harriot's beautiful but almost completely nonverbal presentation. The introductory essay preceding the treatise gives an overview of the contents of the `Magisteria' and describes its influence on Harriot's contemporaries and successors over the next sixty years. Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the `Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important case study in the dissemination of mathematics through informal networks of friends and acquaintances.

Selecta: Diophantine problems and polynomials

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Publisher : European Mathematical Society
ISBN 13 : 9783037190388
Total Pages : 554 pages
Book Rating : 4.1/5 (93 download)

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Book Synopsis Selecta: Diophantine problems and polynomials by : Andrzej Schinzel

Download or read book Selecta: Diophantine problems and polynomials written by Andrzej Schinzel and published by European Mathematical Society. This book was released on 2007 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evariste Galois 1811–1832

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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.

Problèmes d'algèbre et exercices de calcul algébrique avec les solutions

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Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.1/5 (481 download)

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Book Synopsis Problèmes d'algèbre et exercices de calcul algébrique avec les solutions by : M. Ritt

Download or read book Problèmes d'algèbre et exercices de calcul algébrique avec les solutions written by M. Ritt and published by . This book was released on 1848 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problèmes d'algèbre et exercices de calcul algébrique avec les solutions

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Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Problèmes d'algèbre et exercices de calcul algébrique avec les solutions by : Georges Ritt

Download or read book Problèmes d'algèbre et exercices de calcul algébrique avec les solutions written by Georges Ritt and published by . This book was released on 1842 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problèmes d'algèbre et exercices de calcul algébrique avec solutions

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Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (9 download)

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Book Synopsis Problèmes d'algèbre et exercices de calcul algébrique avec solutions by : Georges Ritt

Download or read book Problèmes d'algèbre et exercices de calcul algébrique avec solutions written by Georges Ritt and published by . This book was released on 1842 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486134687
Total Pages : 270 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Analysis by : Maxwell Rosenlicht

Download or read book Introduction to Analysis written by Maxwell Rosenlicht and published by Courier Corporation. This book was released on 2012-05-04 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.

A Brief Guide to Algebraic Number Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521004237
Total Pages : 164 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis A Brief Guide to Algebraic Number Theory by : H. P. F. Swinnerton-Dyer

Download or read book A Brief Guide to Algebraic Number Theory written by H. P. F. Swinnerton-Dyer and published by Cambridge University Press. This book was released on 2001-02-22 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.

Elements of Algebra

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Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Elements of Algebra by : Silvestre François Lacroix

Download or read book Elements of Algebra written by Silvestre François Lacroix and published by . This book was released on 1825 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Group Theory

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Publisher : American Mathematical Society
ISBN 13 : 1470471604
Total Pages : 368 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Finite Group Theory by : I. Martin Isaacs

Download or read book Finite Group Theory written by I. Martin Isaacs and published by American Mathematical Society. This book was released on 2023-01-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem. Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the “principal ideal theorem” of transfer theory and many smaller results that are not very well known. Proofs often contain original ideas, and they are given in complete detail. In many cases they are simpler than can be found elsewhere. The book is largely based on the author's lectures, and consequently, the style is friendly and somewhat informal. Finally, the book includes a large collection of problems at disparate levels of difficulty. These should enable students to practice group theory and not just read about it. Martin Isaacs is professor of mathematics at the University of Wisconsin, Madison. Over the years, he has received many teaching awards and is well known for his inspiring teaching and lecturing. He received the University of Wisconsin Distinguished Teaching Award in 1985, the Benjamin Smith Reynolds Teaching Award in 1989, and the Wisconsin Section MAA Teaching Award in 1993, to name only a few. He was also honored by being the selected MAA Pólya Lecturer in 2003–2005.

100 Great Problems of Elementary Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486318478
Total Pages : 418 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis 100 Great Problems of Elementary Mathematics by : Heinrich Dörrie

Download or read book 100 Great Problems of Elementary Mathematics written by Heinrich Dörrie and published by Courier Corporation. This book was released on 2013-04-09 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.