As in the first edition the purpose of this book is to present an extensive range and depth of topics in discrete mathematics and also work in a theme on how to do proofs proofs are introduced in the first chapter and continue throughout the book most students taking discrete mathematics are mathematics and computer science majors. New expanded coverage throughout on writing mathematical proof supplies students with a more comprehensive and in depth presentation of discrete mathematics topics new extensive increase in problems in chapters 1 8 includes an increase in the number that involve proofs helps students to think logically and understand the basic concepts before moving on to more advanced material. Experimenting with combinatorica a widely used software package for teaching and research in discrete mathematics provides an exciting new way to learn combinatorics and graph theory with examples of all 450 functions in action plus tutorial text on the mathematics this book is the definitive guide to combinatorica. Discrete mathematics second edition in progress january 13 2020 springer to my family especially anne and mia for in this second edition i tried to make the exposition simpler and clearer i added complexity will need some discrete mathematics such as combinatorics and graph. Introduction to enumerative and analytic combinatorics fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics the book first deals with basic counting principles compositions and partitions and generating functions
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