Algebra and Geometry
Algebra and Geometry
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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.
- Unified approach gives students a better insight into the subjects
- For ease of use, the text is divided into small chapters with exercises at the end of each
- Supporting website contains enhanced electronic version of the text
Reviews & endorsements
"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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Product details
- Published: June 2005
- Format: Hardback
- ISBN: 9780521813624
- Length: 340 pages
- Dimensions: 224 × 158 × 23 mm
- Weight: 0.668kg
- Contains: 40 b/w illus.
- Availability: Available
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.
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