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A First Course in Discrete Mathematics
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Catalogue Information
Field name
Details
Dewey Class
511.1
Title
A First Course in Discrete Mathematics ([EBook] /) / by Ian Anderson.
Author
Anderson, Ian
Other name(s)
SpringerLink (Online service)
Publication
London : : Springer London : : Imprint: Springer, , 2002.
Physical Details
VIII, 200 p. : online resource.
Series
Springer undergraduate mathematics series
1615-2085
ISBN
9780857293152
Summary Note
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.:
Contents note
1. Counting and Binomial Coefficients -- 2. Recurrence -- 3. Introduction to Graphs -- 4. Travelling Round a Graph -- 5. Partitions and Colourings -- 6. The Inclusion Exclusion Principle -- 7. Latin Squares and Hall’s Theorem -- 8. Schedules and 1-Factorisations -- 9. Introduction to Designs -- Solutions -- Further Reading.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-85729-315-2
Links to Related Works
Subject References:
Combinatorics
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Computer Science
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Discrete Mathematics
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Discrete Mathematics in Computer Science
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Mathematics
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Authors:
Anderson, Ian
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer undergraduate mathematics series
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Classification:
511.1
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