Author : Michael Drmota
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 12,47 MB
Release : 2009-04-16
Category : 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
Page : 27 pages
File Size : 28,80 MB
Release : 2007-03-08
Category : 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
Page : 196 pages
File Size : 16,92 MB
Release : 1986-07-31
Category : Mathematics
ISBN : 9780521337038
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 : Alexandru Nica
Publisher : Cambridge University Press
Page : 430 pages
File Size : 35,4 MB
Release : 2006-09-07
Category : Mathematics
ISBN : 0521858526
This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
Author : D.P. Apte
Publisher : Excel Books India
Page : 484 pages
File Size : 35,8 MB
Release : 2007
Category : 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 : Béla Bollobás
Publisher : Cambridge University Press
Page : 588 pages
File Size : 28,62 MB
Release : 1997-05-22
Category : Mathematics
ISBN : 9780521584722
A panorama of combinatorics by the world's experts.
Author : R. C. Bose
Publisher :
Page : 264 pages
File Size : 11,89 MB
Release : 1984-03-19
Category : 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 : Ross G. Pinsky
Publisher : Springer
Page : 165 pages
File Size : 39,58 MB
Release : 2014-08-09
Category : Mathematics
ISBN : 3319079654
The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a melange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct, as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures.
Author : David Patrick
Publisher :
Page : 0 pages
File Size : 40,82 MB
Release : 2007-08
Category : Counting
ISBN : 9781934124109
Author : Arthur T. Benjamin
Publisher : American Mathematical Society
Page : 210 pages
File Size : 49,60 MB
Release : 2022-09-21
Category : Mathematics
ISBN : 1470472597
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
