Computer Graphics and Geometric Modeling: Mathematics (Hardback)
Computer Graphics and Geometric Modeling: Mathematics (Hardback)
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GOOD: The book has a small "ding" in the bottom of the back cover. Some of the first few pages are slightly crinkled, but are not creased. The pages are free of writing. The book is printed on acid-free paper.Product Details
This is the second volume in a two-volume setComputer Graphics and Geometric Modeling , which is identified on the back cover as "possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling."From the back cover: "Computer Graphics and Geometric Modeling: Mathematics contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume. The second volume begins with material from linear algebra and a discussion of the transformations in affine and projective geometry, followed by topics from advanced calculus. Next are chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and finally algebraic geometry. There are lengthy appendices, which carefully state the definitions and results that are assumed.
"Two important goals throughout are to explain the material thoroughly, avoiding a cookbook approach, and to make it self-contained. While some of the mathematics covered is very advanced and may be difficult for some readers, the author always tries to present the material as clearly and simply as possible and to motivate ideas. In places where it is not possible to give all the details of a subject, readers will at least get a road map that lays out the important results and indicates what one would have to learn to study the subject in more detail."
BRIEF CONTENTS
- Preface
- 1 - Linear Algebra Topics
- 2 - Affine Geometry
- 3 - Projective Geometry
- 4 - Advanced Calculus Topics
- 5 - Point Set Topology
- 6 - Combinatorial Topology
- 7 - Algebraic Topology
- 8 - Differential Topology
- 9 - Differential Geometry
- 10 - Algebraic Geometry
- Appendix A: Notation
- Appendix B: Basic Algebra
- Appendix C: Basic Linear Algebra
- Appendix D: Basic Calculus and Analysis
- Appendix E: Basic Complex Analysis
- Appendix F: A Bit of Numerical Analysis
- Bibliography
- Index
- Bibliographic Index
- Index of Algorithms
NOTE: This volume is close to 1000 pages and is over 2 inches thick.
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PUBLISHER: Springer Science+Business Media
ISBN-13: 9781852338176
ISBN-10: 1852338172