Lattices and Boolean Algebras - First Concepts by Vijay K Khanna

Lattices and Boolean Algebras - First Concepts

Second Edition

ISBN 9788125916536 Price 275.00 Binding Paperback

Vijay K Khanna

About The Book

"This book is primarily designed for senior undergraduate students wishing to pursue a course in Lattices/Boolean Algebras. It can also serve as an excellent introductory text for those desirous of using lattice-theoretic concepts in their higher studies. The first chapter lists down results from Set Theory and Number Theory that are used in the main text. Chapters 2 and 3 deal with partially ordered sets, duality principle, isomorphism, lattices, sublattices, ideals (dual, principle, prime), complements, semi and complete lattices, chapter 4 contains results pertaining to modular and distributive lattices. The last chapter discusses various topics related to Boolean algebras (lattices) including applications. Under this chapter, Boolean functions, disjunctive (conjunctive) normal forms, series parallel, non-series parallel circuits, n-terminal circuits, don’t care condition’, simplification and design of circuits are discussed. Theoretical discussions have been amply illustrated by numerous examples and worked-out problems. Hints and solutions to selected exercises have been added towards the end of the text as a further help. The second edition is richer by the presence of more examples, worked-out problems and exercises, retaining the style and flavour of the first edition."

Contents

1.Preliminaries, 2.Posets and Lattices, 3.Ideals and Homomorphisms, 4.Modular and Distributive Lattices, 5.Boolean Algebras

About The Author

Vijay K Khanna is Reader in Deptt. of Mathematics, Kirori Mal College, University of Delhi and has been teaching undergraduate and postgraduate students for over 35 years. His other publications include Lattices and Boolean Algebras, Solid Geometry, and Business Mathematics published by Vikas.