9781441928399-1441928391-Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)

Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)

ISBN-13: 9781441928399
ISBN-10: 1441928391
Author: Stillwell, John
Publication date: 2010
Publisher: Springer
Format: Paperback 196 pages
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Book details

ISBN-13: 9781441928399
ISBN-10: 1441928391
Author: Stillwell, John
Publication date: 2010
Publisher: Springer
Format: Paperback 196 pages

Summary

Acknowledged authors Stillwell, John wrote Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics) comprising 196 pages back in 2010. Textbook and eTextbook are published under ISBN 1441928391 and 9781441928399. Since then Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.

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