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Galois Theory For Beginners A Historical Perspective Second Ed 2nd Edition Jrg Bewersdorff

  • SKU: BELL-38645098
Galois Theory For Beginners A Historical Perspective Second Ed 2nd Edition Jrg Bewersdorff
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Galois Theory For Beginners A Historical Perspective Second Ed 2nd Edition Jrg Bewersdorff instant download after payment.

Publisher: American Mathematical Society
File Extension: PDF
File size: 34.87 MB
Pages: 219
Author: Jörg Bewersdorff
ISBN: 9781470466589, 1470466589
Language: English
Year: 2021
Edition: 2
Volume: 95

Product desciption

Galois Theory For Beginners A Historical Perspective Second Ed 2nd Edition Jrg Bewersdorff by Jörg Bewersdorff 9781470466589, 1470466589 instant download after payment.

Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations. Few prerequisites are needed beyond general college mathematics, since the necessary ideas and properties of groups and fields are provided as needed. Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader an idea of the nature and difficulty of what lies ahead. The applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting the angle, and the construction of regular n-gons are also presented. This new edition contains an additional chapter as well as twenty facsimiles of milestones of classical algebra. It is suitable for undergraduates and graduate students, as well as teachers and mathematicians seeking a historical and stimulating perspective on the field.

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