Дискретная математика
Математика
  • формат djvu
  • размер 1.31 МБ
  • добавлен 31 января 2012 г.
Kisacanin B. Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry
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.
Properties of Triangles.
Analogies in Geometry.
Two Geometric Tricks.
Problems.
Appendixes.
Mathematical Induction.
Overview.
Examples.
Problems.
Hints and Notes.
Important Mathematical Constants.
Great Mathematicians.
Greek Alphabet.
References.
Index.
Похожие разделы
Смотрите также

Ashlswede R., Blinovsky V. Lectures on Advances in Combinatorics

  • формат pdf
  • размер 3.02 МБ
  • добавлен 14 января 2011 г.
Springer, 2008. - 314 pages. The main focus of these lectures is basis extremal problems and inequalities – two sides of the same coin. Additionally they prepare well for approaches and methods useful and applicable in a broader mathematical context. Highlights of the book include a solution to the famous 4m-conjecture of Erd?s/Ko/Rado 1938, one of the oldest problems in combinatorial extremal theory, an answer to a question of Erd?s (1962) in c...

Bender E.A., Williamson S.G. Foundations of Combinatorics with Applications

  • формат pdf
  • размер 4.03 МБ
  • добавлен 04 октября 2011 г.
Издательство Dover Publications, 2005, -469 pp. Combinatorics, the mathematics of the discrete, has blossomed in this generation. On the theoretical side, a variety of tools, concepts and insights have been developed that allow us to solve previously intractable problems, formulate new problems and connect previously unrelated topics. On the applied side, scientists from physicists to biologists have found combinatorics essential in their resear...

Berge C. Hypergraphs. Combinatorics of Finite Sets

  • формат pdf
  • размер 10.73 МБ
  • добавлен 04 октября 2011 г.
Издательство North Holland, 1989, -267 pp. For the past forty years, Graph Theory has proved to be an extremely useful tool for solving combinatorial problems, in areas as diverse as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It was thus natural to try and generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint too...

Betten (etc.) Error-Correcting Linear Codes. Classification by Isometry and Applications

  • формат pdf
  • размер 6.67 МБ
  • добавлен 05 декабря 2011 г.
Издательство Springer, 2006, -818 pp. The fascinating theory of error-correcting codes is a rather new addition to the list of mathematical disciplines. It grew out of the need to communicate information electronically, and is currently no more than 60 years old. Being an applied discipline by definition, a surprisingly large number of pure mathematical areas tie into Coding Theory. If one were to name just the most important connections, one wo...

Erickson M. Pearls of Discrete Mathematics

  • формат pdf
  • размер 1.44 МБ
  • добавлен 06 февраля 2011 г.
CRC, 2009. - 280 pages. Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stun...

Ferland K. Discrete Mathematics: An Introduction to Proofs and Combinatorics

  • формат pdf
  • размер 9.2 МБ
  • добавлен 29 января 2011 г.
Cengage Learning, 2008. - 632 Pages. Discrete Mathematics combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn. Throughout the text, engaging anecdotes and topics of interest inform as well as motivate learners. The text is ideal for one- or two-semester courses and fo...

Fulton W. Young Tableaux: With Applications to Representation Theory and Geometry

  • формат djvu
  • размер 2.24 МБ
  • добавлен 31 января 2012 г.
Cambridge University Press, 1997. - 270 Pages. This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding", and several i...

Gyori E., Katona G.O., Lovasz L. (editors) More Sets, Graphs and Numbers: A Salute to Vera Sos and Andras Hajnal

  • формат pdf
  • размер 12.65 МБ
  • добавлен 05 февраля 2011 г.
Springer, 2006. - 405 pages. Bolyai Society Mathematical Studies 15. Discrete mathematics, including (combinatorial) number theory and set theory has always been a stronghold of Hungarian mathematics. The present volume honouring Vera Sos and Andras Hajnal contains survey articles (with classical theorems and state-of-the-art results) and cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian...

Harris J.M., Hirst J.L., Mossinghoff M.J. Combinatorics and Graph Theory

  • формат pdf
  • размер 3.34 МБ
  • добавлен 18 декабря 2010 г.
Springer New York, 2010. - 400 pages. This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The second edition includes many new topics and features: (1) New sections in graph theory on di...

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...