Discrete mathematics : proof techniques and mathematical structures
著者
書誌事項
Discrete mathematics : proof techniques and mathematical structures
World Scientific, 1999
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text is divided into two parts, the first of which constitutes the core of a one-semester course covering proofs, predicate calculus, set theory, elementary number theory, relations, and functions, and the second of which applies this material to a more advanced study of selected topics in pure mathematics, applied mathematics, and computer science, specifically cardinality, combinatorics, finite-state automata, and graphs. In both parts, deeper and more interesting material is treated in optional sections, and the text has been kept flexible by allowing many different possible courses or emphases based upon different paths through the volume.
目次
- Part 1: proof techniques
- predicate calculus
- set theory
- elementary number theory
- relations
- functions. Part 2: cardinality
- elements of combinatorics
- languages and finite state automata
- graphs.
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