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Mathematics for computer graphics

Vince, John.

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Mathematics for computer graphics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematics for computer graphics/ by John Vince.
作者:	Vince, John.
出版者:	London :Springer London : : 2022.,
面頁冊數:	xxii, 564 p. :ill. (chiefly col.), digital ;24 cm.
內容註:	Preface -- Introduction -- Numbers -- Algebra -- Trigonometry -- Coordinate Systems -- Determinants -- Vectors -- Matrix Algebra -- Complex Numbers -- Geometric Transforms -- Quaternion Algebra -- Quaternions in Space -- Interpolation -- Curves and Patches -- Analytic Geometry -- Barycentric Coordinates -- Geometric Algebra -- Calculus: Derivatives -- Calculus: Integration -- Worked Examples -- Appendix A -- Appendix B -- Index.
Contained By:	Springer Nature eBook
標題:	Computer graphics - Mathematics. -
電子資源:	https://doi.org/10.1007/978-1-4471-7520-9
ISBN:	9781447175209

Mathematics for computer graphics
Vince, John.

Mathematics for computer graphics[electronic resource] /by John Vince. - Sixth edition. - London :Springer London :2022. - xxii, 564 p. :ill. (chiefly col.), digital ;24 cm. - Undergraduate topics in computer science,2197-1781. - Undergraduate topics in computer science..

Preface -- Introduction -- Numbers -- Algebra -- Trigonometry -- Coordinate Systems -- Determinants -- Vectors -- Matrix Algebra -- Complex Numbers -- Geometric Transforms -- Quaternion Algebra -- Quaternions in Space -- Interpolation -- Curves and Patches -- Analytic Geometry -- Barycentric Coordinates -- Geometric Algebra -- Calculus: Derivatives -- Calculus: Integration -- Worked Examples -- Appendix A -- Appendix B -- Index.

John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded sixth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: Number sets Algebra Trigonometry Complex numbers Coordinate systems Determinants Vectors Quaternions Matrix algebra Geometric transforms Interpolation Curves and surfaces Analytic geometry Barycentric coordinates Geometric algebra Differential calculus Integral calculus This sixth edition contains approximately 150 worked examples and over 330 colour illustrations, which are central to the author's descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers.

ISBN: 9781447175209

Standard No.: 10.1007/978-1-4471-7520-9doiSubjects--Topical Terms:

615086
Computer graphics
--Mathematics.

LC Class. No.: T385 / .V55 2022

Dewey Class. No.: 006.60151

Mathematics for computer graphics
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505 0 $a Preface -- Introduction -- Numbers -- Algebra -- Trigonometry -- Coordinate Systems -- Determinants -- Vectors -- Matrix Algebra -- Complex Numbers -- Geometric Transforms -- Quaternion Algebra -- Quaternions in Space -- Interpolation -- Curves and Patches -- Analytic Geometry -- Barycentric Coordinates -- Geometric Algebra -- Calculus: Derivatives -- Calculus: Integration -- Worked Examples -- Appendix A -- Appendix B -- Index.
520 $a John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded sixth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: Number sets Algebra Trigonometry Complex numbers Coordinate systems Determinants Vectors Quaternions Matrix algebra Geometric transforms Interpolation Curves and surfaces Analytic geometry Barycentric coordinates Geometric algebra Differential calculus Integral calculus This sixth edition contains approximately 150 worked examples and over 330 colour illustrations, which are central to the author's descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers.
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