Электронная книга: David Cox A. «Galois Theory»
|
Praise for the First Edition«. . .will certainly fascinate anyone interested in abstract algebra: a remarkable book!» —Monatshefte fur Mathematik Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in modern algebra, including groupsand fields. Covering classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields, Galois Theory, Second Edition delves into novel topics like Abel’s theory of Abelian equations, casus irreducibili, and the Galois theory of origami. In addition,this book features detailed treatments of several topics not covered in standard texts on Galois theory, including: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois's results about irreducible polynomials of prime or prime-squared degree Abel's theorem about geometric constructions on the lemniscates Galois groups of quartic polynomials in all characteristics Throughout the book, intriguing Mathematical Notes and Historical Notes sections clarify the discussed ideas and the historical context; numerous exercises and examples use Maple and Mathematica to showcase the computations related to Galois theory; and extensive references have been added to provide readers with additional resources for further study. Galois Theory, Second Edition is an excellent book for courses on abstract algebra at the upper-undergraduate and graduate levels. The book also serves as an interesting reference for anyone with a general interest in Galois theory and its contributions to the field of mathematics. Издательство: "John Wiley&Sons Limited"
ISBN: 9781118218426 электронная книга Купить за 6087.7 руб и скачать на Litres |
Другие книги автора:
| Книга | Описание | Год | Цена | Тип книги |
|---|---|---|---|---|
| Primes of the Form x2+ny2. Fermat, Class Field Theory, and Complex Multiplication | An exciting approach to the history and mathematics of number theory“. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.”… — John Wiley&Sons Limited, электронная книга Подробнее... | электронная книга |
См. также в других словарях:
Galois theory — [gal wä′] n. [after E. Galois (1811 32), Fr mathematician] a branch of algebra that determines if an algebraic equation can be solved in terms of radicals … English World dictionary
Galois theory — 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,… … Wikipedia
Galois theory — noun Etymology: Évariste Galois Date: 1893 a part of the theory of mathematical groups concerned especially with the conditions under which a solution to a polynomial equation with coefficients in a given mathematical field can be obtained in the … New Collegiate Dictionary
Galois theory — /gal wah /; Fr. /gann lwann /, Math. the branch of mathematics that deals with the application of the theory of finite groups to the solution of algebraic equations. [1890 95; named after Évariste Galois (1811 32), French mathematician] * * * … Universalium
Galois theory — noun The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations … Wiktionary
Galois theory — noun group theory applied to the solution of algebraic equations • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑group theory … Useful english dictionary
