Calculus for Computer Graphics

Nonfiction, Science & Nature, Mathematics, Applied, Computers, Application Software, Computer Graphics, General Computing
Cover of the book Calculus for Computer Graphics by John Vince, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: John Vince ISBN: 9783030113766
Publisher: Springer International Publishing Publication: March 12, 2019
Imprint: Springer Language: English
Author: John Vince
ISBN: 9783030113766
Publisher: Springer International Publishing
Publication: March 12, 2019
Imprint: Springer
Language: English

Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. 

In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred and seventy colour illustrations. 

This book complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. 

In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred and seventy colour illustrations. 

This book complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.

More books from Springer International Publishing

Cover of the book Bioactive Essential Oils and Cancer by John Vince
Cover of the book Electromagnetic Metal Forming for Advanced Processing Technologies by John Vince
Cover of the book The Consistent Application of EU Competition Law by John Vince
Cover of the book Approach to Internal Medicine by John Vince
Cover of the book Building Trust in Information by John Vince
Cover of the book Emerging Technologies for STEAM Education by John Vince
Cover of the book Through-life Engineering Services by John Vince
Cover of the book Privacy Technologies and Policy by John Vince
Cover of the book Semi-Presidential Policy-Making in Europe by John Vince
Cover of the book Evolutionary Global Optimization, Manifolds and Applications by John Vince
Cover of the book Adversary Detection For Cognitive Radio Networks by John Vince
Cover of the book CAD, 3D Modeling, Engineering Analysis, and Prototype Experimentation by John Vince
Cover of the book Partial Order Concepts in Applied Sciences by John Vince
Cover of the book FPGA Based Accelerators for Financial Applications by John Vince
Cover of the book Microbial Toxins and Related Contamination in the Food Industry by John Vince
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy