Combinatorial mathematics

by Ryser, Herbert John

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Title Statements

Full title :Combinatorial mathematics.

Edition Statements

Publication Date:1963

Publication Statements

Publisher(s):Mathematical Association of America; distributed by Wiley [New York]
Place of Publication:Buffalo
Language:eng
Publication Date:1963

The Physical Object

Description:1 online resource (xiv, 154 pages)

Edition Identifiers

ISBN:9781614440147, 161444014X
oclc:ocn680271997
LC Classification:QA165
Dewey Decimal:512.5

Chapter 7. Orthogonal Latin Squares1. Existence theorems -- 2. The Euler conjecture -- 3. Finite projective planes -- 4. Projective planes and Latin squares -- References for Chapter 7 -- Chapter 8. Combinatorial Designs -- 1. The (b, v, r, k, Î")-configuration -- 2. The (v, k, Î")-configuration -- 3. A nonexistence theorem -- 4. The matric equation A AT = B -- 5. Extremal problems -- References for Chapter 8 -- Chapter 9. Perfect Difference Sets -- 1. Perfect difference sets -- 2. The multiplier theorem -- References for Chapter 9 -- List of Notation

Front Cover -- Combinatorial Mathematics -- Copyright Page -- Contents -- Chapter 1. Fundamentals of Combinatorial Mathematics -- 1. What is combinatorial mathematics? -- 2. Sets -- 3. Samples -- 4. Unordered selections -- 5. Binomial coefficients -- References for Chapter 1 -- Chapter 2. The Principle of Inclusion and Exclusion -- 1. A fundamental formula -- 2. Applications to number theory -- 3. Derangements -- 4. The permanent -- References for Chapter 2 -- Chapter 3. Recurrence Relations -- 1. Some elementary recurrences -- 2. MÃ©nage numbers

3. Latin rectanglesReferences for Chapter 3 -- Chapter 4. A Theorem of Ramsey -- 1. A …