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Algebra and Geometry (Softcover)
"This text gives a basic introduction and a unified approach to algebra and geometry. It 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." — From the back cover
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VERY GOOD: This book is in very good condition, showing a few signs of use and wear on the corners.
Continued from the back cover: “The emphasis is always on the interaction between these topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many of the ideas are developed gradually throughout the book. For example, the definition of a group is given in Chapter 1 so that it can be used in a discussion of the arithmetic of real and complex numbers; however, many of the properties of groups are given later, and at a time when the importance of the concept has become clear. The text is divided into short sections, with exercises at the end of each.”
- Groups and permutations
- The real numbers
- The complex plane
- Vectors in three-dimensional space
- Spherical geometry
- Quaternions and isometries
- Vector spaces
- Linear equations
- Linear maps of Euclidean space
- Möbius transformations
- Group actions
- Hyperbolic geometry
The book ends with an Index.
- Beardon, Alan F.
- Cambridge University Press
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