Extremal Problems for Finite Sets by Peter Frankl
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.-
An Introduction to the Circle Method
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Matrix Models for Population, Disease, and Evolutionary Dynamics
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Analytic Number Theory for Beginners
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Codes and Curves
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Glimpses of Soliton Theory
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Differential Geometry
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Differential Geometry of Plane Curves
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A First Course in the Calculus of Variations
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A Conversational Introduction to Algebraic Number Theory
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Billiards, Surfaces, and Geometry
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An Introduction to Lie Groups and the Geometry of Homogeneous Spaces
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Transformation Groups for Beginners
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The Game of Cops and Robbers on Graphs
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Invitation to Ergodic Theory
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The Joy of Factoring
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Lectures on Surfaces
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Plane Algebraic Curves
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Enumerative Geometry and String Theory
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The Game's Afoot!
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Mathematical Modelling
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Matrix Groups for Undergraduates
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Finite Fields, with Applications to Combinatorics
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Knots, Links and Their Invariants
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Hilbert's Tenth Problem
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Number Theory in the Spirit of Ramanujan
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Basic Set Theory
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Lectures on Generating Functions
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Frames for Undergraduates
Peter Frankl, Renyi Institute, Budapest, Hungary.
Norihide Tokushige, Ryukyu University, Okinawa, Japan.
Norihide Tokushige, Ryukyu University, Okinawa, Japan.
| SKU | Unavailable |
| ISBN 13 | 9781470440398 |
| ISBN 10 | 1470440393 |
| Title | Extremal Problems for Finite Sets |
| Author | Peter Frankl |
| Series | Student Mathematical Library |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2018-08-30 |
| Number of pages | 224 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |