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Galois' Theory Of Algebraic Equations (Paperback)
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Galois' Theory Of Algebraic Equations (Paperback)
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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.
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