Algebra and Geometry

by Alan F. Beardon

Overview

This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups, and various aspects of geometry including groups of isometries, rotations, and spherical geometry. The emphasis is on the interaction among these topics. The text is divided into short sections, with exercises at the end of each section.

Product Details

ISBN-13:	9780521813624
Publisher:	Cambridge University Press
Publication date:	05/12/2005
Pages:	340
Product dimensions:	6.22(w) x 8.82(h) x 0.91(d)

Table of Contents

Preface; 1. Groups and permutations; 2. The real numbers; 3. The complex plane; 4. Vectors in three-dimensional space; 5. Spherical geometry; 6. Quaternions and isometries; 7. Vector spaces; 8. Linear equations; 9. Matrices; 10. Eigenvectors; 11. Linear maps of Euclidean space; 12. Groups; 13. Möbius transformations; 14. Group actions; 15. Hyperbolic geometry; Index.

Editorial Reviews

"Beardon has written a fine introductory text...[he] outlines a beautiful course."
MAA Reviews, Stephen Ahearn

“Beardon has prepared a book that this reviewer will keep on his shelf as a reference. Highly recommended.”
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