This books gives an introduction to discrete mathematics for
beginning undergraduates. One of original features of this book is
that it begins with a presentation of the rules of logic as used in
mathematics. Many examples of formal and informal proofs are given.
With this logical framework firmly in place, the book describes the
major axioms of set theory and introduces the natural numbers. The
rest of the book is more standard. It deals with functions and
relations, directed and undirected graphs, and an introduction to
combinatorics. There is a section on public key cryptography and
RSA, with complete proofs of Fermat's little theorem and the
correctness of the RSA scheme, as well as explicit algorithms to
perform modular arithmetic. The last chapter provides more graph
theory. Eulerian and Hamiltonian cycles are discussed. Then, we
study flows and tensions and state and prove the max flow min-cut
theorem. We also discuss matchings, covering, bipartite graphs.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Universitext |
Release date: |
2011 |
First published: |
2011 |
Authors: |
Jean Gallier
|
Dimensions: |
235 x 155 x 26mm (L x W x T) |
Format: |
Paperback
|
Pages: |
466 |
Edition: |
Edition. |
ISBN-13: |
978-1-4419-8046-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
1-4419-8046-6 |
Barcode: |
9781441980465 |
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