Calculus for Computer Graphics

Bibliographic Details
Title: Calculus for Computer Graphics
Description: 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.
Authors: John Vince
Resource Type: eBook.
Subjects: Computer graphics, Computer science—Mathematics
Categories: COMPUTERS / Software Development & Engineering / Computer Graphics, MATHEMATICS / Applied
Database: eBook Index
FullText Text:
  Availability: 0
Header DbId: edsebk
DbLabel: eBook Index
An: 3594686
RelevancyScore: 969
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 968.509704589844
IllustrationInfo
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  Data: Calculus for Computer Graphics
– Name: Abstract
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  Data: 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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  Data: <searchLink fieldCode="AR" term="%22John+Vince%22">John Vince</searchLink>
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RecordInfo BibRecord:
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      – Code: 006.6
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Computer graphics
        Type: general
      – SubjectFull: Computer science—Mathematics
        Type: general
    Titles:
      – TitleFull: Calculus for Computer Graphics
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            NameFull: John Vince
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2023
            – D: 19
              M: 04
              Type: profile
              Y: 2023
          Identifiers:
            – Type: isbn-print
              Value: 9783031281167
            – Type: isbn-electronic
              Value: 9783031281174
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            – TitleFull: Calculus for Computer Graphics
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