(Ebook) Discrete Mathematics 4th Edition by BS Vatsa, Suchi Vatsa ISBN 9788122425062 8122425062

(Ebook) Discrete Mathematics 4th Edition by BS Vatsa, Suchi Vatsa ISBN 9788122425062 8122425062

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ISBN 10: 8122425062
ISBN 13: 9788122425062
Author: BS Vatsa, Suchi Vatsa

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 New Age Science is a newly established Science, Technical and Medical publisher. We offer high level text and reference titles to the academic community. Written by leading scientists and academic professionals affiliated to prestigious institutions worldwide, our books bring into focus innovative research and the latest teaching theories and concepts. Some of the many areas we publish in -Electrical Engineering

(Ebook) Discrete Mathematics 4th Edition Table of contents:

1. Set Theory and Logic

   • Introduction to Sets

   • Operations on Sets

   • Relations and Functions

   • Propositional Logic

   • Predicate Logic

2. Mathematical Reasoning

   • Methods of Proof

   • Mathematical Induction

   • Recursion

3. Counting and Combinatorics

   • Basic Counting Principles

   • Permutations and Combinations

   • Pigeonhole Principle

   • Inclusion-Exclusion Principle

4. Relations and Functions

   • Types of Relations

   • Properties of Relations

   • Equivalence Relations and Partitions

   • Partial Orderings

   • Functions and Inverse Functions

5. Graphs and Trees

   • Introduction to Graphs

   • Graph Terminology

   • Types of Graphs

   • Graph Traversals

   • Trees and Their Properties

   • Spanning Trees and Applications

6. Algebraic Structures

   • Groups

   • Rings and Fields

   • Boolean Algebra

7. Mathematical Logic

   • Logical Connectives

   • Logical Equivalences

   • Normal Forms

   • Automated Theorem Proving

8. Algorithms and Complexity

   • Algorithmic Problem Solving

   • Time Complexity

   • Basic Algorithmic Techniques

9. Applications of Discrete Mathematics

   • Cryptography Basics

   • Coding Theory

   • Network Theory

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Tags: BS Vatsa, Suchi Vatsa, Discrete Mathematics