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Abstract Algebra Book

Abstract Algebra PDF
By:Ronald Solomon
Published on 2003 by American Mathematical Soc.


This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17-gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter.

This Book was ranked at 35 by Google Books for keyword Download Teaching Novel Book.

Book ID of Abstract Algebra's Books is ouvZKQiykf4C, Book which was written byRonald Solomonhave ETAG "AMTkyDeRg8M"

Book which was published by American Mathematical Soc. since 2003 have ISBNs, ISBN 13 Code is 9780821847954 and ISBN 10 Code is 0821847953

Reading Mode in Text Status is false and Reading Mode in Image Status is true

Book which have "227 Pages" is Printed at BOOK under CategoryMathematics

Book was written in en

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