Combinatorics category: 160 books

Cover of Counting Surfaces

Counting Surfaces

CRM Aisenstadt Chair lectures

by Bertrand Eynard
Language: English
Release Date: March 21, 2016

The problem of enumerating maps (a map is a set of polygonal "countries" on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical physics, geometry, particle physics,...
Cover of Graph Theory and Its Applications
by Jonathan L. Gross, Jay Yellen, Mark Anderson
Language: English
Release Date: November 5, 2018

Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well. The textbook takes a comprehensive, accessible approach to graph theory,...
Cover of Weyl Group Multiple Dirichlet Series

Weyl Group Multiple Dirichlet Series

Type A Combinatorial Theory (AM-175)

by Ben Brubaker, Daniel Bump, Solomon Friedberg
Language: English
Release Date: July 5, 2011

Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series...
Cover of Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting
by Duane DeTemple, William Webb
Language: English
Release Date: August 19, 2014

This is a solutions manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting Written by well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting introduces combinatorics alongside modern techniques, showcases the interdisciplinary...
Cover of The Mathematics of Paul Erdős II
by
Language: English
Release Date: August 4, 2013

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from...
Cover of Rigidity and Symmetry
by
Language: English
Release Date: June 11, 2014

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances...
Cover of Combinatorial Algebraic Geometry

Combinatorial Algebraic Geometry

Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels

by Aldo Conca, Sandra Di Rocco, Jan Draisma
Language: English
Release Date: May 15, 2014

Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach...
Cover of Generalized Connectivity of Graphs
by Xueliang Li, Yaping Mao
Language: English
Release Date: June 30, 2016

Noteworthy results, proof techniques, open problems and conjectures in generalized (edge-) connectivity are discussed in this book. Both theoretical and practical analyses for generalized (edge-) connectivity of graphs are provided. Topics covered in this book include: generalized (edge-) connectivity...
Cover of Graph Theory

Graph Theory

Undergraduate Mathematics

by Khee Meng Koh, Fengming Dong, Kah Loon Ng;Eng Guan Tay
Language: English
Release Date: February 11, 2015

This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies...
Cover of Combinatorial Algorithms

Combinatorial Algorithms

27th International Workshop, IWOCA 2016, Helsinki, Finland, August 17-19, 2016, Proceedings

by
Language: English
Release Date: August 8, 2016

This book constitutes the proceedings of the 27th International Workshop on Combinatorial Algorithms, IWOCA 2016, held in Helsinki, Finland, in August 2016. The 35 papers presented in this volume were carefully reviewed and selected from 87 submissions. They were organized in topical sessions named:...
Cover of A Journey Through Discrete Mathematics

A Journey Through Discrete Mathematics

A Tribute to Jiří Matoušek

by
Language: English
Release Date: October 11, 2017

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention...
Cover of From Fourier Analysis and Number Theory to Radon Transforms and Geometry
by
Language: English
Release Date: September 18, 2012

​​​A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his...
Cover of A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory
by Bangming Deng, Jie Du, Qiang Fu
Language: English
Release Date: December 6, 2012

The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various...
Cover of Large Deviations for Random Graphs

Large Deviations for Random Graphs

École d'Été de Probabilités de Saint-Flour XLV - 2015

by Sourav Chatterjee
Language: English
Release Date: August 31, 2017

This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently, probability theory offered no tools to help answer such questions. Important...
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