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

Buch 128 von 170: Undergraduate Texts in Mathematics

Stillwell, John

 
9781441928399: Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)
Softcover
ISBN 10: 1441928391 ISBN 13: 9781441928399
Verlag: Springer New York, 2010

Inhaltsangabe

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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Über die Autorin bzw. den Autor

John Stillwell is a professor of mathematics at the University of San Francisco. He is also an accomplished author, having published several books with Springer, including The Four Pillars of Geometry; Elements of Algebra; Numbers and Geometry; and many more.

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Verlag
Springer New York
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1441928391
ISBN 13 
9781441928399
Einband
Taschenbuch
Anzahl der Seiten
196
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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