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Foundation mathematics for computer sciencea visual approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Foundation mathematics for computer scienceby John Vince.
Reminder of title:	a visual approach /
Author:	Vince, John.
Published:	Cham :Springer International Publishing :2023.
Description:	xxii, 510 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Computer scienceMathematics.
Online resource:	https://doi.org/10.1007/978-3-031-17411-7
ISBN:	9783031174117$q(electronic bk.)

Foundation mathematics for computer sciencea visual approach /
Vince, John.

Foundation mathematics for computer sciencea visual approach /[electronic resource] :by John Vince. - Third edition. - Cham :Springer International Publishing :2023. - xxii, 510 p. :ill., digital ;24 cm.

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.

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's visual 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.

ISBN: 9783031174117$q(electronic bk.)

Standard No.: 10.1007/978-3-031-17411-7doiSubjects--Topical Terms:

181991
Computer science
--Mathematics.

LC Class. No.: QA76.9.M35

Dewey Class. No.: 004.0151

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505 0 $a 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.
520 $a 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's visual 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.
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