A First Course in Discrete Mathematics - Softcover

Ian C. Anderson

Softcover

ISBN 10: 8184890125 ISBN 13: 9788184890129

Publisher: Springer (India) Pvt. Ltd., 2008

Synopsis

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 m?nage problem, magic squares, Catalan and Stirling numbers, and tournament schedules. Subjects of the book : Mathematics Contents of the book : Counting and Binomial Coefficients.- Recurrence.- Introduction to Graphs.- Travelling Round a Graph.- Partitions and Colourings.- The Inclusion-Exclusion Principle.- Latin Squares and Hall's Theorem.- Schedules and One-Factorisations.- Introduction to Designs.- Appendix.- Solutions.- Further Reading.- Bibliography

Edition details

• Publisher: Springer (India) Pvt. Ltd.
• Publication date: 2008
• ISBN 10: 8184890125
• ISBN 13: 9788184890129
• Binding: Paperback
• Language: English
• Number of pages: 200