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A First Course in Discrete Mathematics
Brian Lian
出版Springer Science & Business Media, 2000-10-27
主題Mathematics / Discrete MathematicsMathematics / CombinatoricsComputers / Data ProcessingMathematics / General
ISBN18523323609781852332365
URLhttp://books.google.com.hk/books?id=4sN3fmg-js4C&hl=&source=gbs_api
EBookSAMPLE
註釋Discrete mathematics has now established its place in most undergraduate mathematics courses. This textbook provides a concise, readable and accessible introduction to a number of topics in this area, such as enumeration, graph theory, Latin squares and designs. It is aimed at second-year undergraduate mathematics students, and provides them with many of the basic techniques, ideas and results. It contains many worked examples, and each chapter ends with a large number of exercises, with hints or solutions provided for most of them. As well as including standard topics such as binomial coefficients, recurrence, the inclusion-exclusion principle, trees, Hamiltonian and Eulerian graphs, Latin squares and finite projective planes, the text also includes material on the ménage problem, magic squares, Catalan and Stirling numbers, and tournament schedules.