Screen LibraryGalois' theory of algebraic equations /
"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...
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| Main Authors: | |
|---|---|
| Published: |
World Scientific,
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| Publisher Address: | New Jersey : |
| Publication Dates: | [2016] |
| Literature type: | Book |
| Language: |
English French |
| Edition: | Second edition. |
| Subjects: | |
| Summary: |
"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"-- |
| Item Description: | Originally published in English in 1988 jointly by: Harlow, Essex, England : Longman Scientific & Technical; and, New York : Wiley. |
| Carrier Form: | xvi, 308 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (pages 299-304) and index. |
| ISBN: |
9789814704694 (hardback) : 9814704695 (hardback) |
| Index Number: | QA211 |
| CLC: |
O153.4 O151.1 |
| Call Number: | O151.1/T567/2nd ed. |
| Contents: | Quadratic equations -- Cubic equations -- Quartic equations -- The creation of polynomials -- A modern approach to polynomials -- Alternative methods of cubic and quartic equations -- Roots of unity -- Symmetric functions -- The fundamental theorem of algebra -- Lagrange -- Vandermonde -- Gauss on cyclotomic equations -- Ruffini and Abel on general equations -- Galois -- Epilogue. |