| Electronic ISBN: | 978-1-61444-014-7 |
| Product Code: | CAR/14.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
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Book DetailsThe Carus Mathematical MonographsVolume: 14; 1963; 154 pp
Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.
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Table of Contents
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Chapters
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Chapter 1. Fundamentals of combinatorial mathematics
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Chapter 2. The principle of inclusion and exclusion
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Chapter 3. Recurrence relations
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Chapter 4. A theorem of Ramsey
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Chapter 5. Systems of distinct representatives
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Chapter 6. Matrices of zeros and ones
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Chapter 7. Orthogonal Latin squares
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Chapter 8. Combinatorial designs
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Chapter 9. Perfect difference sets
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Additional Material
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Reviews
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This polished and readable account of some fascinating aspects of the subject is devoted mainly to existence problems including several basic, original contributions made by the author himself … the subject is justly known for its difficulty, and Ryser is to be congratulated for his clear presentation. The exposition is supplemented by a good index and an appropriate bibliography for each chapter. An attractive feature is the mention of various interesting, unsolved problems in which the field abounds.
Victor Klee, Science
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RequestsReview Copy – for reviewers who would like to review an AMS bookAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.
-
Chapters
-
Chapter 1. Fundamentals of combinatorial mathematics
-
Chapter 2. The principle of inclusion and exclusion
-
Chapter 3. Recurrence relations
-
Chapter 4. A theorem of Ramsey
-
Chapter 5. Systems of distinct representatives
-
Chapter 6. Matrices of zeros and ones
-
Chapter 7. Orthogonal Latin squares
-
Chapter 8. Combinatorial designs
-
Chapter 9. Perfect difference sets
-
This polished and readable account of some fascinating aspects of the subject is devoted mainly to existence problems including several basic, original contributions made by the author himself … the subject is justly known for its difficulty, and Ryser is to be congratulated for his clear presentation. The exposition is supplemented by a good index and an appropriate bibliography for each chapter. An attractive feature is the mention of various interesting, unsolved problems in which the field abounds.
Victor Klee, Science
