Discrete Structures

The concept of each topic has been developed from primary to end stage with numerical illustrations in simple and lucid manner. The definition and theorems behind each concept are supported by solved examples for better understanding. A set of problems is given at the end of each chapter.

This book has been designed to deal with the topics which are indispensable in the advanced age of computer science. The first three chapters cover mathematical logic, sets, relations and function. Next come the chapters on ordered sets, Boolean algebra and switching circuits and matrices. Finally there are individual chapters on combinatorics, discrete numeric functions, generating functions, recurrence relations, algebraic structures and graph theory; Graphs are binary trees. The purpose of this book is to present principles and concepts of discrete structures as relevant to student learning. The matter has been presented in as simple and lucid manner as possible and a large number of solved examples to understand the concept and principle of the theory have been introduced.

TOC

Mathematical Logics/ Set Theory/ Relations and Functions/ Ordered Sets and Lattices/ Boolean Algebra and Switching Circuits/ Matrices/ Rank and Equivalence/ Linear Equations/ Characteristics roots and vectors of matrices/ Combinatorics/ Discrete Numeric Functions and Generating Functions

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