Mathematics for Computer Graphics,5th Edition

Mathematics for Computer Graphics (Undergraduate Topics in Computer Science)1447173341
Mathematics for Computer Graphics (Undergraduate Topics in Computer Science)
by 作者: John Vince
ISBN-10 书号: 1447173341
ISBN-13 书号: 9781447173342
Edition 版本: 5th ed. 2017
Released: 2017-09-19
Pages: 505


Book Description
John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games,computer animation,virtual reality,CAD and other areas of computer graphics in this completely revised and expanded fifth edition.
The first five chapters cover a general introduction,number sets,algebra,trigonometry and coordinate systems,which are employed in the following chapters on vectors,matrix algebra,transforms,interpolation,curves and patches,analytic geometry and barycentric coordinates. Following this,the reader is introduced to the relatively new topic of geometric algebra,followed by two chapters that introduce differential and integral calculus. Finally,there is a chapter on worked examples.
Mathematics for Computer Graphics covers all of the key areas of the subject,including:
Number sets
Algebra
Trigonometry
Coordinate systems
Determinants
Vectors
Quaternions
Matrix algebra
Geometric transforms
Interpolation
Curves and surfaces
Analytic geometry
Barycentric coordinates
Geometric algebra
Differential calculus
Integral calculus
This fifth edition contains over 120 worked examples and over 320 colour illustrations,which are central to the author’s descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics,giving a fascinating insight into the design of computer graphics software and setting the scene for further reading of more advanced books and technical research papers.
Contents
Chapter 1 Introduction
Chapter 2 Numbers
Chapter 3 Algebra
Chapter 4 Trigonometry
Chapter 5 Coordinate Systems
Chapter 6 Determinants
Chapter 7 Vectors
Chapter 8 Matrix Algebra
Chapter 9 Geometric Transforms
Chapter 10 Interpolation
Chapter 11 Curves And Patches
Chapter 12 Analytic Geometry
Chapter 13 Barycentric Coordinates
Chapter 14 Geometric Algebra
Chapter 15 Calculus: Derivatives
Chapter 16 Calculus: Integration
Chapter 17 Worked Examples
Chapter 18 Conclusion
Appendix A Limit of (sinθ)/θ
Appendix B Integrating cosnθ

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