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Foundation Mathematics for Computer Science
A Visual Approach
Taschenbuch von John Vince
Sprache: Englisch

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Beschreibung
In this third edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the second edition, and added chapters on systems of counting, area and volume. These subjects complement the existing chapters on visual mathematics, numbers, algebra, logic, combinatorics, probability, modular arithmetic, trigonometry, coordinate systems, determinants, vectors, complex numbers, matrices, geometric matrix transforms, differential and integral calculus. During this journey, the author touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barrycentric coordinates, transfinite sets and prime numbers.John Vince describes a range of mathematical topics that provide a solid foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with calculating area and volume using calculus. Readers will find that the author¿svisual approach should greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications.

This third edition includes new, full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will help consolidate the understanding of abstract mathematical concepts.

Whether you intend to pursue a career in programming, scientific visualisation, artificial intelligence, systems design, or real-time computing, you should find the author¿s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.
In this third edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the second edition, and added chapters on systems of counting, area and volume. These subjects complement the existing chapters on visual mathematics, numbers, algebra, logic, combinatorics, probability, modular arithmetic, trigonometry, coordinate systems, determinants, vectors, complex numbers, matrices, geometric matrix transforms, differential and integral calculus. During this journey, the author touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barrycentric coordinates, transfinite sets and prime numbers.John Vince describes a range of mathematical topics that provide a solid foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with calculating area and volume using calculus. Readers will find that the author¿svisual approach should greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications.

This third edition includes new, full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will help consolidate the understanding of abstract mathematical concepts.

Whether you intend to pursue a career in programming, scientific visualisation, artificial intelligence, systems design, or real-time computing, you should find the author¿s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.
Über den Autor

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK's first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 50 books on computer graphics, computer animation and virtual reality, including the following Springer titles:

¿ Mathematics for Computer Graphics (2014)

¿ Calculus for Computer Graphics (2013)

¿ Matrix Transforms for Computer Games and Animation (2012)

¿ Expanding the Frontiers of Visual Analytics and Visualization (2012)

¿ Quaternions for Computer Graphics (2011)

¿ Rotation Transforms for Computer Graphics (2011)

Zusammenfassung

Provides a comprehensive introduction to mathematical topics relevant to computer science and related fields

Contains over two-hundred coloured figures and several dozen tables, to help clarify the mathematical descriptions

Each chapter includes worked examples instructing the reader on how to apply the mathematical knowledge described within

Inhaltsverzeichnis

1.Visual Mathematics.- 2.Numbers.- 3.Systems of Counting.- 4.Algebra.- 5.Logic.- 6.Combinatorics.- 7.Probability.- 8.Modular Arithmetic.- 9.Trigonometry.- 10.Coordinate Systems.- 11.Determinants.- 12.Vectors.- 13.Complex Numbers.- 14.Matrices.- 15.Geometric Matrix Transforms.- 16.Calculus: Derivatives.- 17.Calculus: Integration.- 18.Area.- 19.Volume.- Appendix A.- Appendix B.- Index.

Details
Erscheinungsjahr: 2023
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 532
Inhalt: xxii
510 S.
1 s/w Illustr.
220 farbige Illustr.
510 p. 221 illus.
220 illus. in color.
ISBN-13: 9783031174100
ISBN-10: 3031174100
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Vince, John
Auflage: 3rd ed. 2023
Hersteller: Springer International Publishing
Maße: 235 x 155 x 27 mm
Von/Mit: John Vince
Erscheinungsdatum: 25.01.2023
Gewicht: 0,894 kg
preigu-id: 123641501
Über den Autor

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK's first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 50 books on computer graphics, computer animation and virtual reality, including the following Springer titles:

¿ Mathematics for Computer Graphics (2014)

¿ Calculus for Computer Graphics (2013)

¿ Matrix Transforms for Computer Games and Animation (2012)

¿ Expanding the Frontiers of Visual Analytics and Visualization (2012)

¿ Quaternions for Computer Graphics (2011)

¿ Rotation Transforms for Computer Graphics (2011)

Zusammenfassung

Provides a comprehensive introduction to mathematical topics relevant to computer science and related fields

Contains over two-hundred coloured figures and several dozen tables, to help clarify the mathematical descriptions

Each chapter includes worked examples instructing the reader on how to apply the mathematical knowledge described within

Inhaltsverzeichnis

1.Visual Mathematics.- 2.Numbers.- 3.Systems of Counting.- 4.Algebra.- 5.Logic.- 6.Combinatorics.- 7.Probability.- 8.Modular Arithmetic.- 9.Trigonometry.- 10.Coordinate Systems.- 11.Determinants.- 12.Vectors.- 13.Complex Numbers.- 14.Matrices.- 15.Geometric Matrix Transforms.- 16.Calculus: Derivatives.- 17.Calculus: Integration.- 18.Area.- 19.Volume.- Appendix A.- Appendix B.- Index.

Details
Erscheinungsjahr: 2023
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 532
Inhalt: xxii
510 S.
1 s/w Illustr.
220 farbige Illustr.
510 p. 221 illus.
220 illus. in color.
ISBN-13: 9783031174100
ISBN-10: 3031174100
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Vince, John
Auflage: 3rd ed. 2023
Hersteller: Springer International Publishing
Maße: 235 x 155 x 27 mm
Von/Mit: John Vince
Erscheinungsdatum: 25.01.2023
Gewicht: 0,894 kg
preigu-id: 123641501
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