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Introduction to Geometry

By H. S. M. Coxeter
Series: Wiley Classics Library
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Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
Introduction to Geometry by H. S. M. Coxeter seeks to revitalise the often overlooked field of geometry. The volume highlights the concept of transformation and encourages exploration of less familiar environments such as affine and absolute spaces. It presents innovative approaches including a simple treatment of the orthocenter and the use of dominoes to illustrate certain crystallographic space groups. Readers will find explanations of circle-preserving transformations, spiral similarity, and even phyllotaxis. The text also offers an ordered discussion of Sylvester's problem, axioms for affine geometry, and insights into rotation groups, horospheres, and ternary quadratic forms, correcting common misconceptions along the way.
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Format: Paperback / softback
$41399
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

This volume is ideally suited for students, educators, and enthusiasts with a strong interest in the mathematical study of geometry, particularly those seeking an advanced and unconventional approach.

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This classic work is now available in an unabridged paperback edition.

Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

This volume attempts to revitalise the sadly neglected topic of geometry. Apart from the general emphasis on the idea of transformation and on the desirability of spending some time in such unusual environments as affine space and absolute space, the chief novelties of the text are a simple treatment of the orthocenter, the use of dominoes to illustrate six of the seventeen space groups of two-dimensional crystallography, a construction for the invariant point of a dilative reflection, a description of the general circle-preserving transformation and the spiral similarity.

The book also includes an explanation of phyllotaxis, an ordered treatment of Sylvester’s problem, an economical system of axioms for affine geometry, an absolute treatment of rotation groups, an elementary treatment of the horosphere and the extreme ternary quadratic form.

The author describes the correction of a prevalent error concerning the shape of the monkey saddle, an application of Introduction to Geometry by H. S. M. Coxeter.

Series: Wiley Classics Library

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  • Introduction to Geometry
    Introduction to Geometry
    This volume attempts to revitalise the sadly neglected topic of geometry. Apart from the general emphasis on the idea of transformation and on the desirability of spending some time in such unusual environments as affine space and absolute space, the chief novelties of the text are a simple treatment of the orthocenter, the use of dominoes to illustrate six of...
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Book Details

INFORMATION

ISBN: 9780471504580

Publisher: John Wiley & Sons Inc

Format: Paperback / softback

Date Published: 05 April 1989

Country: United States

Imprint: John Wiley & Sons Inc

Edition: 2nd edition

Audience: Tertiary education, Professional and scholarly

DIMENSIONS

Spine width: 23.0mm

Width: 148.0mm

Height: 230.0mm

Weight: 656g

Pages: 496

Collections

Education & Reference H. S. M. Coxeter Non-Fiction Science & Nature Series: Wiley Classics Library

About the Author

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, CC was a British-born Canadian geometer. Coxeter is regarded as one of the greatest geometers of the 20th century. He was born in London, received his BA and PhD from Cambridge, but lived in Canada from age 29.

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