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Mathematics for Computer Scientists by Gareth Janacek, Mark Close




Mathematics for Computer Scientists - Table of Contents

PART I: SETS, LOGIC & ALGEBRAIC STRUCTURES

  • 1. Numbers, Number Systems, and Bases
  • 2. Set Theory, Venn Diagrams, and Subsets
  • 3. Boolean Algebra, Logic, and Truth Tables
  • 4. Functions, Relations, and Mappings
  • 5. Sequences, Series, and Mathematical Induction

PART II: MATRICES, CALCULUS & PROBABILITY

  • 6. Matrix Operations and Linear Equations
  • 7. Vectors and Coordinate Geometry
  • 8. Introduction to Calculus and Differentiation
  • 9. Integration and Area Under Curves
  • 10. Probability, Combinatorics, and Statistics

What You Will Learn in Mathematics for Computer Scientists

Mathematics for Computer Scientists by Gareth J. Janacek and Mark Lemmon Close is an open-access, introductory textbook designed to equip early-stage computer science students with the mathematical machinery necessary for programming, software engineering, and algorithm analysis. This comprehensive volume guides readers through sets, relations, functions, number systems, boolean algebra, matrix operations, vectors, graph fundamentals, and introductory calculus and probability with exceptional clarity and pedagogical structure.

Designed for first-year undergraduate students, self-taught programmers, data structure learners, and software development enthusiasts, this foundational text demystifies abstract notation through practical computer science applications. The authors focus on logical reasoning, induction, discrete relations, and basic counting principles that directly inform computational thinking and software logic. Whether you are learning relational databases, analyzing algorithm complexity, or exploring discrete models, this book offers an indispensable roadmap.

Recognized globally for its beginner-friendly exposition and practical focus, it remains one of the best introductory math books for computer science self-study. By balancing discrete structures with basic continuous concepts, it serves as an essential tool for mastering computer science mathematics with confidence.

Book Details & Specifications

Title: Mathematics for Computer Scientists by Gareth Janacek, Mark Close
Publisher: Bookboon (Ventus Publishing)
Year: 2011
Pages: 153
Type: PDF
Language: English
ISBN-10 #: 9888407066
ISBN-13 #: 978-9888407064
License: Academic Educational Resource (no license claimed)
Amazon: Amazon

About the Author: Gareth J. Janacek

The author Gareth J. Janacek was a dedicated lecturer in statistics and computing in the School of Mathematics at the University of East Anglia, Norwich, UK, known for his work in time series analysis, computational statistics, and accessible mathematical pedagogy.

Co-authored alongside Mark Lemmon Close, a mathematician and educator specializing in introductory mathematics for computing disciplines, Mathematics for Computer Scientists reflects their joint dedication to demystifying discrete structures for early computer science majors. Their clean explanations, structured examples, and focus on practical applications make this text a classic reference for introductory discrete mathematics trusted by students and self-directed learners worldwide.


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Mathematics Book Categories

Algebra & Trigonometry
Precalculus
Basic Algebra
Trigonometry
Calculus
Calculus with Analytical Geometry
Single Variable Calculus
Differential Calculus
Integral Calculus
Multivariable Calculus
Advanced Calculus
Calculus of Variation
Geometry
Elementary Geometry
Analytic Geometry
Differential Geometry
Algebraic Geometry
Non Euclidean Geometry
Computational Geometry
Topology
Linear Algebra
Linear Algebra (Introduction)
Matrix Algebra
Probability & Statistics
Statistical Inference
Probability & Stochastic
Statistical Learning
Bayesian Statistics
Applied Statistics
Mathematical Analysis
Real Analysis
Complex Analysis
Fourier Analysis
Functional Analysis
Abstract Algebra
Number Theory
Applied Mathematics
Mathematical Methods
Differential Equations
Computational Mathematics
Numerical Analysis
Mathematical Modeling
Mathematical Physics
Engineering Mathematics
History of Mathematics

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