• формат djvu
  • размер 3.74 МБ
  • добавлен 22 марта 2011 г.
Brualdi R.A. Introductory Combinatorics
Prentice Hall, 2004. - 640 pages.

This book emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). The volume provides a complete examination of combinatorial ideas and techniques. For individuals interested in combinatorial concepts.
Смотрите также

Berman G., Fryer K.D. Introduction to Combinatorics

  • формат djvu
  • размер 1.99 МБ
  • добавлен 04 октября 2011 г.
Издательство Academic Press, 1972, -310 pp. Combinatorics, or discrete mathematics, and its applications are becoming increasingly important. Polya has said that Combinatorics is an experimental science today just as analysis was decades ago. It is well that students encoun- encounter this branch of mathematics at an early level so that they may appreciate that Combinatorics has become a partner with traditional mathematics and with computer sci...

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

  • формат pdf
  • размер 18.89 МБ
  • добавлен 30 января 2011 г.
World Scientific Publishing Company, 2006. - 492 pages. 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, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis o...

Brualdi R.A. Introductory Combinatorics

  • формат pdf
  • размер 9.86 МБ
  • добавлен 29 января 2011 г.
Prentice Hall, 1998. - 614 pages. Introductory Combinatorics emphasizes combinatorial ideas, including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). Written to be entertaining and readable, this book's lively style reflects the author's jo...

Kisacanin B. Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry

  • формат djvu
  • размер 1.31 МБ
  • добавлен 31 января 2012 г.
Kluwer Academic Publishers, 2002. - 220 pages. Key to Symbols. Set Theory. Sets and Elementary Set Operations. Cartesian Product and Relations. Functions and Operations. Cardinality. Problems. Combinatorics. Four Enumeration Principles. Introductory Problems. Basic Definitions. Generating Functions. Problems. Number Theory. Divisibility of Numbers. Important Functions in Number Theory. Congruences. Diophantine Equations. Problems. Geometry. Prope...

Lothaire M. Algebraic Combinatorics on Words

  • формат djvu
  • размер 4.52 МБ
  • добавлен 15 декабря 2011 г.
Издательство Cambridge University Press, 2002, -515 pp. Combinatorics on words is a field that has grown separately within several branches of mathematics, such as number theory, group theory or probability theory, and appears frequently in problems of theoretical computer science, as dealing with automata and formal languages. A unified treatment of the theory appeared in Lothaire's Combi- Combinatorics on Words. Since then, the field has grown...

Matousek J., Nesetril J. Invitation to Discrete Mathematics

  • формат pdf
  • размер 19.68 МБ
  • добавлен 05 февраля 2011 г.
Oxford University Press, 1998. - 426 pages. Invitation to Discrete Mathematics is at once an introduction and a thoroughly comprehensive textbook for courses in combinatorics and graph theory. It also contains introductory chapters for more specialized courses such as probabilistic methods, applied linear algebra, combinatorial enumeration, and operations research. A lively and entertaining style is combined with rigorous mathematics, and the ma...

Paine S.E. Applied Combinatorics

  • формат pdf
  • размер 861.44 КБ
  • добавлен 06 января 2012 г.
University of Colorado, 2003, -216 pp. The course at CU-Denver for which these notes were assembled, Math 6409 (Applied Combinatorics), deals more or less entirely with enumerative combinatorics. Other courses deal with combinatorial structures such as Latin squares, designs of many types, finite geometries, etc. This course is a one semester course, but as it has been taught different ways in different semesters, the notes have grown to contain...

Stanley R.P. Enumerative Combinatorics. Volume 2

  • формат djvu
  • размер 5.23 МБ
  • добавлен 04 октября 2011 г.
Издательство Cambridge University Press, 1999, -595 pp. This is the second of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. This volume 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...

Van Lint J.H., Wilson R.M. A Course in Combinatorics

  • формат djvu
  • размер 3.48 МБ
  • добавлен 19 марта 2011 г.
Cambridge University, 1993. - 538 pages. This major textbook, a product of many years' teaching, will appeal to all teachers of combinatorics who appreciate the breadth and depth of the subject. The authors exploit the fact that combinatorics requires comparatively little technical background to provide not only a standard introduction but also a view of some contemporary problems. All of the 36 chapters are in bite-size portions; they cover a g...

Wilf H.S. Generatingfunctionology

  • формат pdf
  • размер 1.54 МБ
  • добавлен 03 июля 2011 г.
A K Peters, 2006. - 245 pages. Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in. * Combinatorics. * Probability Theory. * Statistics. * Theory of Markov Chains. * Number Theory. One of the most important and relevant recent applications of combinatorics lies in th...