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Jim Totten's Problems of the Week

by Joseph Khoury, Bruce Shawyer & John Grant McLoughlin

This volume provides a wide selection of problems (and solutions) to all those interested in mathematical problem solving and is accessible to readers from high school students to professionals.

It is a resource...


A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory

by Miklós Bóna

This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section,...


The Theory of Multiple Zeta Values with Applications in Combinatorics

by MINKING EIE

This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics,...


Introduction to Combinatorial Analysis

by John Riordan

Introductory text surveys the theory of permutations and combinations associated with elementary algebra; the principle of inclusion and exclusion; and the theory of distributions and partitions in cyclic representation....


Voronoi Diagrams and Delaunay Triangulations

by Franz Aurenhammer, Rolf Klein & Der-Tsai Lee

Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry,...


Counting: Solutions Manual

by Khee Meng Koh & Eng Guan Tay

This book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in...


Counting: 2nd Edition

by Khee Meng Koh & Eng Guan Tay

This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people who appreciate...


Principles and Techniques in Combinatorics

by Chen Chuan-Chong & Koh Khee-Meng

A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from...


Combinatorial Algorithms: Enlarged Second Edition

by T. C. Hu & M. T. Shing

This updated edition presents algorithms for shortest paths, maximum flows, dynamic programming and backtracking. Also discusses binary trees, heuristic and near optimums, matrix multiplication, and NP-complete...


Combinatorial Optimization: Algorithms and Complexity

by Christos H. Papadimitriou & Kenneth Steiglitz

This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local...


Challenging Mathematical Problems with Elementary Solutions, Vol. I

by A. M. Yaglom & I. M. Yaglom

Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete...


Geometry and Symmetry

by Paul B. Yale

This book is an introduction to the geometry of Euclidean, affine, and projective spaces with special emphasis on the important groups of symmetries of these spaces. The two major objectives of the text are...


Sieve Methods

by Heine Halberstam & Hans Egon Richert

Derived from the techniques of analytic number theory, sieve theory employs methods from mathematical analysis to solve number-theoretical problems. This text by a noted pair of experts is regarded as the definitive...


Combinatorics: A Very Short Introduction

by Robin Wilson

How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of...


Paradigms of Combinatorial Optimization

by Vangelis Th. Paschos

Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management.  The three volumes of the...


Applications of Combinatorial Optimization

by Vangelis Th. Paschos

Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management.  The three volumes of the...


Concepts of Combinatorial Optimization

by Vangelis Th. Paschos

Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management.  The three volumes of the...