£36.31

Brand: American Mathematical Society Abstract Algebra (Pure and Applied Undergraduate Texts)

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£71.95 £32.75 £41.30 £49.85 £58.41 £66.96 £75.51 09 June 2024 09 November 2024 12 April 2025 12 September 2025 13 February 2026

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3 days · current 377 days 76 days 159 days 0 94 189 283 377 £36-43 £51-58 £58-65 £65-72 Days at Price

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Price levels: 4 price ranges over 615 days

Description

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.

Key Features

Used Book in Good Condition

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
15 March 2009
Listed Since
30 January 2009

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