Universitext

Plane and Solid Geometry

Authors: Aarts, J.M.

  • Many unique topics are covered, such as fractals and cycloids
  • Author uses a non-traditional approach (he defines a right angle by using the Pythagorean Theorem)
  • Lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses
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Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-78241-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-0-387-78240-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses.

 

Jan Aarts is Professor Emeritus of Mathematics at Delft University of Technology. He is the Managing Director of the Dutch Masters Program of Mathematics.

Reviews

From the reviews:

"The book contains excellent illustrative diagrams, a reasonable selection of exercises, clear exposition, and fair number of worked examples and proofs, and a superb index. … I found the book delightful. … If you love Euclidean geometry you will certainly appreciate this book as part of your collection. The book would also make an excellent text for those in physics, chemistry that deal with crystallography, and other practical aspects of Euclidean geometry." (Collin Carbno, The Mathematical Association of America, July, 2009)

"This book is a masterful presentation of both plane and solid geometry. … Aarts emphasizes mathematical proof throughout the presentation, not only to justify various properties but to also enhance insight. The numerous problems … are frequently challenging and will be of interest to both beginning students and readers with a strong mathematical background. Readability is enhanced by over 250 figures. The work concludes with … a list of 75 references. Summing Up: Recommended. Professional and academic readers, lower-division undergraduate and above." (D. P. Turner, Choice, Vol. 46 (11), July, 2009)


Table of contents (5 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-78241-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-0-387-78240-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Plane and Solid Geometry
Authors
Translated by
Erne, R.
Series Title
Universitext
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-78241-6
DOI
10.1007/978-0-387-78241-6
Softcover ISBN
978-0-387-78240-9
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XIV, 349
Number of Illustrations and Tables
258 b/w illustrations
Topics