Author: Richard P. Stanley
Publisher: Cambridge University Pre
Keywords: volume, combinatorics, enumerative
Number of Pages: 326
Published: 2000-05-01
List price: $43.00
ISBN-10: 0521663512
ISBN-13: 9780521663519

This book, the first of a two-volume basic introduction to enumerative combinatorics, concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. Richard Stanley covers those parts of enumerative combinatorics with the greatest applications to other areas of mathematics. The four chapters are devoted to an accessible introduction to enumeration, sieve methods--including the Principle of Inclusion-Exclusion, partially ordered sets, and rational generating functions. A large number of exercises, almost all with solutions, augment the text

Author: George E. Martin
Publisher: Springer
Keywords: combinatorics, enumerative, art, counting
Number of Pages: 264
Published: 2001-06-21
List price: $74.95
ISBN-10: 038795225X
ISBN-13: 9780387952253

Counting: The Art of Enumerative Combinatorics provides an introduction to discrete mathematics that addresses questions that begin, How many ways are there to...For example, "How many ways are there to order a collection of 12 ice cream cones if 8 flavors are available?" At the end of the book the reader should be able to answer such nontrivial counting questions as, "How many ways are there to color the faces of a cube if "k" colors are available with each face having exactly one color?" or "How many ways are there to stack "n" poker chips, each of which can be red, white, blue, or green, su

Author: Sheldon Katz
Publisher: American Mathematical Society
Keywords: theory, string, geometry, enumerative
Number of Pages: 206
Published: 2006-04-19
List price: $35.00
ISBN-10: 0821836870
ISBN-13: 9780821836873

Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have now been solved using new and deep mathematical techniques inspired by physics! The book begins with an insightful introduction to enumerative geometry. From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses

Author: Charalambos A. Charalambides
Publisher: Chapman and Hall/CRC
Keywords: applications, mathematics, discrete, combinatorics, enumerative
Number of Pages: 632
Published: 2002-05-29
List price: $95.95
ISBN-10: 1584882905
ISBN-13: 9781584882909

Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generating functions and recurrence relations. The remaining seven chapters focus on more advanced topics, including, Stirling numbers, partitions of integers, partition polynomials, Eulerian numbers and Polya’s counting theorem.Extensively classroom tested, this text was designed for introductory- and intermediate-leve

Authors:Richard P. Stanley, Sergey Fomin,
Publisher: Cambridge University Press
Keywords: volume, combinatorics, enumerative
Number of Pages: 594
Published: 2001-02-15
List price: $56.00
ISBN-10: 0521789877
ISBN-13: 9780521789875

This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers

Authors:Zeuthen Symposium, Steven L. Kleiman, H. G. Zeuthen,
Publisher: American Mathematical Society
Keywords: proceedings, symposium, support, fro, contemporary, mathematics, august, july, algebraic, zeuthen, enumerative, geometry
Number of Pages: 278
Published: 1991-12
List price: $54.00
ISBN-10: 0821851314
ISBN-13: 9780821851319

1989 marked the 150th anniversary of the birth of the great Danish mathematician Hieronymus Georg Zeuthen. Zeuthen’s name is known to every algebraic geometer because of his discovery of a basic invariant of surfaces. However, he also did fundamental research in intersection theory, enumerative geometry, and the projective geometry of curves and surfaces. Zeuthen’s extraordinary devotion to his subject, his characteristic depth, thoroughness, and clarity of thought, and his precise and succinct writing style are truly inspiring. During the past ten years or so, a