Calculus for computer graphics / John Vince.
Vince, John. author.
2023
T385 .V56 2023
Available Online

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Title
Calculus for computer graphics / John Vince.
Author
Vince, John. author.
Edition
Third edition.
ISBN
9783031281174 electronic book
3031281179 electronic book
9783031281167
3031281160
DOI
https://doi.org/10.1007/978-3-031-28117-4
Published
Cham : Springer, 2023.
Language
English
Description
1 online resource (xviii, 379 pages) : illustrations (some color)
Item Number
10.1007/978-3-031-28117-4 doi
Call Number
T385 .V56 2023
Dewey Decimal Classification
006.601/51
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 higher-order derivatives, partial derivatives, Jacobians, vector-based 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.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 25, 2023).
Available in Other Form
Print version: 9783031281167
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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
Vector-Valued Functions
Vector Differential Operators
Tangent and Normal Vectors
Continuity
Curvature
Solving Differential Equations
Conclusion. Appendix A
Appendix B
Index.

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