國立虎尾科技大學 |

Foundation mathematics for computer science = a visual approach /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Foundation mathematics for computer science/ by John Vince.
Reminder of title:	a visual approach /
Author:	Vince, John.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	xxv, 638 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Computer science - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-66549-3
ISBN:	9783031665493

Foundation mathematics for computer science = a visual approach /
Vince, John.

Foundation mathematics for computer sciencea visual approach /[electronic resource] :by John Vince. - Fourth edition. - Cham :Springer International Publishing :2024. - xxv, 638 p. :ill. (some col.), digital ;24 cm.

Visual mathematics -- Numbers -- Systems of counting -- Algebra -- Logic -- Combinatorics -- Probability -- Statistics -- Modular arithmetic -- Trigonometry -- Coordinate systems -- Curves -- Determinants -- Vectors -- Equations -- Complex numbers -- The Riemann hypothesis -- Matrices -- Geometric matrix transforms -- Analytic geometry -- Eigenvectors and eigenvalues -- Calculus: Derivatives -- Calculus: Integration -- Area -- Volume -- Fourier series -- Appendix A -- Appendix B.

In this book, John Vince has reviewed and edited the third edition and added chapters on statistics, Georg Riemann's hypothesis, eigen vectors, curves, analytic geometry and Fourier analysis. 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, barycentric 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 book 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 visualization, 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: 9783031665493

Standard No.: 10.1007/978-3-031-66549-3doiSubjects--Topical Terms:

528496
Computer science
--Mathematics.

LC Class. No.: QA76.9.M35

Dewey Class. No.: 004.0151

Foundation mathematics for computer science = a visual approach /
LDR:03189nam a2200337 a 4500 001 1154496
003 DE-He213
005 20240926130221.0
006 m d
007 cr nn 008maaau
008 250619s2024 sz s 0 eng d
020 $a 9783031665493 $q (electronic bk.)
020 $a 9783031665486 $q (paper)
024 7 $a 10.1007/978-3-031-66549-3 $2 doi
035 $a 978-3-031-66549-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.9.M35
072 7 $a UYAM $2 bicssc
072 7 $a COM014000 $2 bisacsh
072 7 $a UYAM $2 thema
082 0 4 $a 004.0151 $2 23
090 $a QA76.9.M35 $b V767 2024
100 1 $a Vince, John. $3 670193
245 1 0 $a Foundation mathematics for computer science $h [electronic resource] : $b a visual approach / $c by John Vince.
250 $a Fourth edition.
260 $a Cham : $c 2024. $b Springer International Publishing : $b Imprint: Springer,
300 $a xxv, 638 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Visual mathematics -- Numbers -- Systems of counting -- Algebra -- Logic -- Combinatorics -- Probability -- Statistics -- Modular arithmetic -- Trigonometry -- Coordinate systems -- Curves -- Determinants -- Vectors -- Equations -- Complex numbers -- The Riemann hypothesis -- Matrices -- Geometric matrix transforms -- Analytic geometry -- Eigenvectors and eigenvalues -- Calculus: Derivatives -- Calculus: Integration -- Area -- Volume -- Fourier series -- Appendix A -- Appendix B.
520 $a In this book, John Vince has reviewed and edited the third edition and added chapters on statistics, Georg Riemann's hypothesis, eigen vectors, curves, analytic geometry and Fourier analysis. 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, barycentric 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 book 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 visualization, 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.
650 0 $a Computer science $x Mathematics. $3 528496
650 1 4 $a Mathematics of Computing. $3 669457
650 2 4 $a Computer Graphics. $3 669895
650 2 4 $a Mathematical Applications in Computer Science. $3 815331
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-66549-3
950 $a Computer Science (SpringerNature-11645)