Calculus for Computer Graphics
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Beschreibung
Students studying computer animation and computer games 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.
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 illustrations.
Calculus for Computer Graphics 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 games and animation.
Students studying computer animation and computer games 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.
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 illustrations.
Calculus for Computer Graphics 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 games and animation.
Provides a concise journey through the subject of calculus Emphasises the relationship between calculus and geometry, relevant to the computer graphics, animation and games communities Chapters are self-contained, allowing readers singular sources of reference for all aspects of calculus Includes supplementary material: sn.pub/extras
Autor*in
John Vince
Themen in »Calculus for Computer Graphics«
Calculus for Computer Animation Calculus for Computer Games Derivatives and Antiderivatives Exponential Functions Logarithmic Functions Partial Derivatives Polynomial Functions Trigonometric Functions
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From the reviews:
“The book is intended for students studying computer graphics and/or animation. … it can also be used as a textbook of elementary calculus for all students since the topic is presented in general, without any specific applications. The presentation is very clear, followed by a lot of examples and figures. It is a good starting point into the world of calculus in general.” (Agnieszka Lisowska, zbMATH, Vol. 1283, 2014)
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