Combinatorics category: 160 books

Cover of Combinatorial Methods and Models

Combinatorial Methods and Models

Rudolf Ahlswede’s Lectures on Information Theory 4

by Rudolf Ahlswede
Language: English
Release Date: June 30, 2017

The fourth volume of Rudolf Ahlswede’s lectures on Information Theory is focused on Combinatorics. Ahlswede was originally motivated to study combinatorial aspects of Information Theory via zero-error codes: in this case the structure of the coding problems usually drastically changes from probabilistic...
Cover of Counting with Symmetric Functions
by Jeffrey Remmel, Anthony Mendes
Language: English
Release Date: November 28, 2015

This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics.  It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate...
Cover of Codes from Difference Sets
by Cunsheng Ding
Language: English
Release Date: August 8, 2014

This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference...
Cover of The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics
by James D Louck, Myron L Stein*
Language: English
Release Date: December 30, 2014

This monograph develops chaos theory from properties of the graphs inverse to the parabolic map of the interval [0, 2], where the height at the midpoint x = 1 may be viewed as a time-like parameter, which together with the x-coordinate, provide the two parameters that uniquely characterize the parabola,...
Cover of Introduction to Chemical Graph Theory
by Stephan Wagner, Hua Wang
Language: English
Release Date: September 5, 2018

Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices. These include distance-based, degree-based, and counting-based indices. The book covers some of the most commonly used mathematical...
Cover of Fibonacci and Catalan Numbers
by Ralph Grimaldi
Language: English
Release Date: February 21, 2012

Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning...
Cover of Problems in Probability
by Albert N. Shiryaev
Language: English
Release Date: August 7, 2012

For the first two editions of the book Probability (GTM 95), each chapter included a comprehensive and diverse set of relevant exercises. While the work on the third edition was still in progress, it was decided that it would be more appropriate to publish a separate book that would comprise all of...
Cover of Extended Abstracts Summer 2015

Extended Abstracts Summer 2015

Strategic Behavior in Combinatorial Structures; Quantitative Finance

by
Language: English
Release Date: February 24, 2017

This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics. Phase Transitions has been an active multidisciplinary field of research, bringing...
Cover of A Panorama of Discrepancy Theory
by
Language: English
Release Date: October 7, 2014

This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and  Applications and Constructions. It consists of several chapters, written by experts in their...
Cover of The Cauchy-Schwarz Master Class

The Cauchy-Schwarz Master Class

An Introduction to the Art of Mathematical Inequalities

by J. Michael Steele
Language: English
Release Date: April 26, 2004

This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented...
Cover of Mathematical Olympiad Treasures
by Titu Andreescu, Bogdan Enescu
Language: English
Release Date: September 21, 2011

Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory...
Cover of Discrete Mathematics

Discrete Mathematics

Elementary and Beyond

by László Lovász, József Pelikán, Katalin Vesztergombi
Language: English
Release Date: May 11, 2006

Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving...
Cover of Combinatorial Extremization

Combinatorial Extremization

In Mathematical Olympiad and Competitions

by Yuefeng Feng
Language: English
Release Date: February 17, 2016

In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved...
Cover of Combinatorial Algorithms

Combinatorial Algorithms

26th International Workshop, IWOCA 2015, Verona, Italy, October 5-7, 2015, Revised Selected Papers

by
Language: English
Release Date: March 9, 2016

This book constitutes the thoroughly refereed post-workshop proceedings for the 26 International Workshop on combinatorial Algorithms, IWOCA 2015, held in Verona, Italy, in October 2015. The 29 revised full papers presented were carefully reviewed and selected from a total of 90 submissions....
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