A First Course in Discrete Mathematics
Series: Springer Undergraduate Mathematics Series;
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15 882 Ft
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Product details:
- Edition number 2002
- Publisher Springer
- Date of Publication 27 October 2000
- Number of Volumes 1 pieces, Book
- ISBN 9781852332365
- Binding Paperback
- No. of pages200 pages
- Size 235x155 mm
- Weight 670 g
- Language English
- Illustrations VIII, 200 p. Illustrations, black & white 0
Categories
Short description:
Drawing on many years'experience of teaching discrete mathem atics to students of all levels, Anderson introduces such as pects as enumeration, graph theory and configurations or arr angements. Starting with an introduction to counting and rel ated problems, he moves on to the basic ideas of graph theor y with particular emphasis on trees and planar graphs. He de scribes the inclusion-exclusion principle followed by partit ions of sets which in turn leads to a study of Stirling and Bell numbers. Then follows a treatment of Hamiltonian cycles, Eulerian circuits in graphs, and Latin squares as well as proof of Hall's theorem. He concludes with the constructions of schedules and a brief introduction to block designs. Each chapter is backed by a number of examples, with straightforw ard applications of ideas and more challenging problems.
MoreLong description:
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.
Springer Book Archives
Table of Contents:
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.
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