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020 _a9781447175209
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024 7 _a10.1007/978-1-4471-7520-9
_2doi
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_2bicssc
072 7 _aCOM012000
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072 7 _aUML
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082 0 4 _a006.6
_223
100 1 _aVince, John.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMathematics for Computer Graphics
_h[electronic resource] /
_cby John Vince.
250 _a6th ed. 2022.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2022.
300 _aXXII, 564 p. 301 illus., 300 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUndergraduate Topics in Computer Science,
_x2197-1781
505 0 _aPreface -- 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 _aJohn 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 _aComputer graphics.
650 0 _aComputer science
_xMathematics.
650 1 4 _aComputer Graphics.
650 2 4 _aMathematical Applications in Computer Science.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9781447175193
776 0 8 _iPrinted edition:
_z9781447175216
830 0 _aUndergraduate Topics in Computer Science,
_x2197-1781
856 4 0 _uhttps://doi.org/10.1007/978-1-4471-7520-9
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c184805
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