- Cover
- Title Page
- Contents
- About the Author
- Dedication
- Preface
- Foreword
- Chapter 1 Equations, Inequalities and Basic Logic
- Chapter 2 Sets, Functions and Relations
- Chapter 3 Logic
- Chapter 4 Counting Principles
- Chapter 5 Mathematical Induction, Principle of Inclusion and Exclusion, and Pigeon-Hole Principle
- Chapter 6 Recurrence Relations
- Chapter 7 Number Theory
- Chapter 8 Groups, Rings and Fields
- Chapter 9 Graph Theory
- Chapter 10 Posets, Lattices and Boolean Algebras
- Chapter 11 Formal Languages and Language Acceptors
- 11.1 Alphabet, Strings and Languages
- 11.2 Finite Automata and Regular Languages
- 11.3 Pushdown Automata and Context-Free Languages
- 11.4 Turing Machines
- 11.5 Linear Bounded Automata and Context-Sensitive Languages
- 11.6 Turing Machines and Recursively Enumerable Languages
- 11.7 Formal Languages and Grammar
- Summary
- Problems
- Chapter 12 Turing Machines and Computable Functions
- Chapter 13 Coding Theory
- Chapter 14 Discrete Probability
- 14.1 Sample Space
- 14.2 Events
- 14.3 Random Variable
- 14.4 Basic Probability
- 14.5 Conditional Probability and Bayes Theorem
- 14.6 Random Variables, their Means and Probability Mass Functions
- 14.7 Variance, Standard Deviation and Moments
- 14.8 Binomial Distribution
- 14.9 Geometric Random Variable
- 14.10 Negative Binomial Distribution
- 14.11 Poisson Distribution
- Summary
- Problems
- Appendix-A Mathematical Preliminaries for Special Distributions
- Appendix-B Trigonometry
- Appendix-C Matrices
- Notes
- List of Symbols
- Acknowledgements
- Copyright
- Back Cover
Dedicated to
Visalakshy (my mother), Kamatchy and Rajagopalan who taught in vernacular Government schools and taught me well.
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