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Combinatorics is a broad and important area of mathematics, and this textbook provides the beginner with the ideal introduction to many of the different aspects of the subject. By building up from the basics, and demonstrating the relationships between the various branches of combinatorics, Victor Bryant provides a readable text that presents its results in a straightforward way. Numerous examples and exercises, including hints and solutions, are included throughout and serve to lead the reader to some of the deeper results of the subject, many of which are usually excluded from elementary texts. This is an excellent textbook, by an experienced author, for introductory courses in combinatorics and graph theory.
Table of contents:
1. The binomial coefficients; 2. How many trees?; 3. The marriage theorem; 4. Three basic principles; 5. Latin squares; 6. The first theorem of graph theory; 7. Edge-colourings; 8. Harems and tournaments; 9. Minimax theorems; 10. Recurrence; 11. Vertex-colourings; 12. Rook polynomials; 13. Planar graphs; 14. Map-colourings; 15. Designs and codes; 16. Ramsey theory; Hints to exercises; Answers to exercises; Bibliography; Index.
This textbook provides the beginner with the ideal introduction to many of the different aspects of the subject. A readable text that presents its results in a straightforward way.
Combinatorics is a broad and important area of mathematics, and this textbook provides the beginner with the ideal introduction to many of the different aspects of the subject.
Table of contents:
1. The binomial coefficients; 2. How many trees?; 3. The marriage theorem; 4. Three basic principles; 5. Latin squares; 6. The first theorem of graph theory; 7. Edge-colourings; 8. Harems and tournaments; 9. Minimax theorems; 10. Recurrence; 11. Vertex-colourings; 12. Rook polynomials; 13. Planar graphs; 14. Map-colourings; 15. Designs and codes; 16. Ramsey theory; Hints to exercises; Answers to exercises; Bibliography; Index.
This textbook provides the beginner with the ideal introduction to many of the different aspects of the subject. A readable text that presents its results in a straightforward way.
Combinatorics is a broad and important area of mathematics, and this textbook provides the beginner with the ideal introduction to many of the different aspects of the subject.