Calculus for computer graphics
 Responsibility
 John Vince.
 Edition
 Third edition.
 Publication
 Cham : Springer, 2023.
 Physical description
 1 online resource (xviii, 379 pages) : illustrations (some color)
Online
More options
Description
Creators/Contributors
 Author/Creator
 Vince, John. author.
Contents/Summary
 Contents

 Introduction
 Functions
 Limits and Derivatives
 Derivatives and Antiderivatives
 Higher Derivatives
 Partial Derivatives
 Integral Calculus
 Area Under a Graph
 Are Length and Parameterisation of Curves
 Surface Area
 Volume
 VectorValued Functions
 Vector Differential Operators
 Tangent and Normal Vectors
 Continuity
 Curvature
 Solving Differential Equations
 Conclusion. Appendix A
 Appendix B
 Index.
 Summary
 Students studying different branches of computer graphics need 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 3rd edition, the author extends the scope of the original book to include vector differential operators and differential equations and 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 higherorder derivatives, partial derivatives, Jacobians, vectorbased functions, single, double and triple integrals, with numerous worked examples and almost two hundred 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.
Subjects
 Subjects
 Computer graphics > Mathematics.
 Calculus.
Bibliographic information
 Publication date
 2023
 ISBN
 9783031281174 electronic book
 3031281179 electronic book
 9783031281167
 3031281160
 DOI
 10.1007/9783031281174