國立高雄大學圖資館 |

Language: English

Back

Mathematics for computer graphics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematics for computer graphicsby John Vince.
Author:	Vince, John.
Published:	London :Springer London :2022.
Description:	xxii, 564 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Computer graphicsMathematics.
Online resource:	https://doi.org/10.1007/978-1-4471-7520-9
ISBN:	9781447175209$q(electronic bk.)

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$q(electronic bk.)

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

276401
Computer graphics
--Mathematics.

LC Class. No.: T385 / .V55 2022

Dewey Class. No.: 006.60151

Mathematics for computer graphics
LDR:03096nmm a2200349 a 4500 001 620632
003 DE-He213
005 20220426124420.0
006 m d
007 cr nn 008maaau
008 221121s2022 enk s 0 eng d
020 $a 9781447175209$q(electronic bk.)
020 $a 9781447175193$q(paper)
024 7 $a 10.1007/978-1-4471-7520-9 $2 doi
035 $a 978-1-4471-7520-9
040 $a GP $c GP
041 0 $a eng
050 4 $a T385 $b .V55 2022
072 7 $a UML $2 bicssc
072 7 $a COM012000 $2 bisacsh
072 7 $a UML $2 thema
082 0 4 $a 006.60151 $2 23
090 $a T385 $b .V767 2022
100 1 $a Vince, John. $3 254763
245 1 0 $a Mathematics for computer graphics $h [electronic resource] / $c by John Vince.
250 $a Sixth edition.
260 $a London : $b Springer London : $b Imprint: Springer, $c 2022.
300 $a xxii, 564 p. : $b ill. (chiefly col.), digital ; $c 24 cm.
490 1 $a Undergraduate topics in computer science, $x 2197-1781
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.
650 0 $a Computer graphics $x Mathematics. $3 276401
650 1 4 $a Computer Graphics. $3 274515
650 2 4 $a Mathematical Applications in Computer Science. $3 530811
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Undergraduate topics in computer science. $3 559648
856 4 0 $u https://doi.org/10.1007/978-1-4471-7520-9
950 $a Computer Science (SpringerNature-11645)