A Combinatorics and Graph Theory by John M Harris
This book evolved from several courses in combinatorics and graph theory given at Appalachian State University and UCLA. Chapter 1 focuses on finite graph theory, including trees, planarity, coloring, matchings, and Ramsey theory. Chapter 2 studies combinatorics, including the principle of inclusion and exclusion, generating functions, recurrence relations, Polya theory, the stable marriage problem, and several important classes of numbers. Chapter 3 presents infinite pigeonhole principles, Konig's lemma, and Ramsey's theorem, and discusses their connections to axiomatic set theory. The text is written in an enthusiastic and lively style. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The text is primarily directed toward upper-division undergraduate students, but lower-division undergraduates with a penchant for proof and graduate students seeking an introduction to these subjects will also find much of interest.-
Linear Algebra Done Right
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Understanding Analysis
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Introduction to Analytic Number Theory
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Naive Set Theory
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Real Analysis
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Rational Points on Elliptic Curves
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Mathematics and Its History
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Elementary Analysis
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A First Course in Differential Equations
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Second Year Calculus
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Applied Linear Algebra
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Linear Algebra
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A First Course in Real Analysis
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Real Mathematical Analysis
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Introduction to Coding and Information Theory
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Calculus I
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Ordinary Differential Equations
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Multivariable Calculus with Applications
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Complex Analysis
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Introduction to Linear Algebra
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Groups and Symmetry
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Ideals, Varieties, and Algorithms
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Real Analysis via Sequences and Series
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Modular Functions and Dirichlet Series in Number Theory
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Elementary Probability Theory
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The Art of Proof
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An Introduction to Mathematical Cryptography
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Introduction to Partial Differential Equations
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A Concrete Introduction to Higher Algebra
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Topics in the Theory of Numbers
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The Four Pillars of Geometry
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Discrete Mathematics
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Finite-Dimensional Vector Spaces
John M. Harris grew up in Coshocton, Ohio, and in his grandparents' basement, he saw the Browns win the 1964 Super Bowl. He is an associate professor of journalism at Western Washington University and lives in Bellingham, Washington.
| SKU | Unavailable |
| ISBN 13 | 9780387987361 |
| ISBN 10 | 0387987363 |
| Title | A Combinatorics and Graph Theory |
| Author | John M Harris |
| Series | Undergraduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2000-07-19 |
| Number of pages | 238 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |