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| Author | : Alexandru Nica |
| Publisher | : Cambridge University Press |
| Total Pages | : 430 |
| Release | : 2006-09-07 |
| Genre | : Mathematics |
| ISBN | : 0521858526 |
This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
| Author | : Michael Drmota |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 466 |
| Release | : 2009-04-16 |
| Genre | : Mathematics |
| ISBN | : 3211753575 |
The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.
| Author | : Graham Brightwell |
| Publisher | : Cambridge University Press |
| Total Pages | : 27 |
| Release | : 2007-03-08 |
| Genre | : Mathematics |
| ISBN | : 0521872073 |
This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.
| Author | : Béla Bollobás |
| Publisher | : Cambridge University Press |
| Total Pages | : 190 |
| Release | : 1986-07-31 |
| Genre | : Mathematics |
| ISBN | : 9780521330596 |
Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.
| Author | : R. C. Bose |
| Publisher | : |
| Total Pages | : 264 |
| Release | : 1984-03-19 |
| Genre | : Mathematics |
| ISBN | : |
A ``hands-on'' constructive and computational approach to combinatorial topics with real-life modern applications. Provides a simple treatment of the subject. Introduces topics such as counting, designs and graphs. The notation is standard and kept to a minimum. Chapters end with historical remarks and suggestions for further reading.
| Author | : D.P. Apte |
| Publisher | : Excel Books India |
| Total Pages | : 484 |
| Release | : 2007 |
| Genre | : Combinatorial analysis |
| ISBN | : 9788174465207 |
This book covers a selection of topics on combinatorics, probability and discrete mathematics useful to the students of MCA, MBA, computer science and applied mathematics. The book uses a different approach in explaining these subjects, so as to be equally suitable for the students with different backgrounds from commerce to computer engineering. This book not only explains the concepts and provides variety of solved problems, but also helps students to develop insight and perception, to formulate and solve mathematical problems in a creative way. The book includes topics in combinatorics like advance principles of counting, combinatorial identities, concept of probability, random variables and their probability distributions, discrete and continuous standard distributions and jointly random variables, recurrence relations and generating functions. This book completely covers MCA syllabus of Pune University and will also be suitable for undergraduate science courses like B.Sc. as well as management courses.
| Author | : Philippe Flajolet |
| Publisher | : Cambridge University Press |
| Total Pages | : 825 |
| Release | : 2009-01-15 |
| Genre | : Mathematics |
| ISBN | : 1139477161 |
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
| Author | : Béla Bollobás |
| Publisher | : Cambridge University Press |
| Total Pages | : 588 |
| Release | : 1997-05-22 |
| Genre | : Mathematics |
| ISBN | : 9780521584722 |
A panorama of combinatorics by the world's experts.
| Author | : David Patrick |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2007-08 |
| Genre | : Counting |
| ISBN | : 9781934124109 |
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 125 |
| Release | : 2013-11-27 |
| Genre | : Mathematics |
| ISBN | : 0817682228 |
"102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.
