Theory Of Algebraical Expressions
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Galois' Theory Of Algebraic Equations (Second Edition)
Author: Jean-pierre Tignol
language: en
Publisher: World Scientific Publishing Company
Release Date: 2015-12-28
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.
Galois' Theory Of Algebraic Equations
Author: Jean-pierre Tignol
language: en
Publisher: World Scientific Publishing Company
Release Date: 2001-04-02
New Edition available hereGalois' Theory of Algebraic Equations 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 main emphasis is placed on equations of at least the third degree, i.e. on the developments during the period from the sixteenth to 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 on the fundamental theorems of modern Galois theory is included. Complete proofs of the quoted results are provided, but the material has been organized in such a way that the most technical details can be skipped by readers who are interested primarily in a broad survey of the theory.This book will appeal to both undergraduate and graduate students in mathematics and the history of science, and also to teachers and mathematicians who wish to obtain a historical perspective of the field. The text has been designed to be self-contained, but some familiarity with basic mathematical structures and with some elementary notions of linear algebra is desirable for a good understanding of the technical discussions in the later chapters.
CliffsNotes Algebra I Common Core Quick Review
Author: Kimberly Gores
language: en
Publisher: Houghton Mifflin Harcourt
Release Date: 2016-10-25
A quick in, quick out review of Algebra I Common Core math Relevant to high school students enrolled in their Algebra I class in those states adhering to the Common Core math standards, this quick review provides targeted chapter-level reviews of topics aligned to the Algebra I Common Core math standards, with practice problems throughout each review chapter and chapter-end quizzes. This quick review is supplemented with 300+ multiple-choice questions available on CliffsNotes.com.