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joshi k foundations discrete mathematics 1991

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Textbook in PDF format List of Standard Symbols Suggested Course Coverage Preface One. Introduction and Preliminaries What is Discrete Mathematics? Typical Problems Comments about Typical Problems Review of Logic Two. Elementary Counting Techniques Sets and Functions Cardinalities of Sets Applications to Counting Problems Principle of Inclusion and Exclusion Three. Sets with Additional Structures Abstraction and Mathematical Structures Binary Relations on Sets Order Relations Algebraic Structures Four. Boolean Algebras Deﬁnition and Properties Boolean Functions Applications to Switching Networks Applications to Logic Five. Group Theory Groups and Subgroups Cosets of Subgroups Group Homomorphisms Permutation Groups Six. Rings, Fields and Vector Spaces Basic Concepts and Examples Special Types of Integral Domains Vector Spaces Matrices and Determinants Seven. Advanced Counting Techniques Generating Functions of Sequences Application to Enumeration Problems Recurrence Relations Applications of Recurrence Relations Epilogue: Preview of "Applied Discrete Structures" References Answers to Exercises Index

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joshi k foundations discrete mathematics 1991

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