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Generating Functionology
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Book Synopsis Generatingfunctionology by : Herbert S. Wilf
Download or read book Generatingfunctionology written by Herbert S. Wilf and published by Elsevier. This book was released on 2014-05-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generatingfunctionology provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of the method by giving a number of examples of problems that can be profitably thought about from the point of view of generating functions. Organized into five chapters, this book begins with an overview of the basic concepts of a generating function. This text then discusses the different kinds of series that are widely used as generating functions. Other chapters explain how to make much more precise estimates of the sizes of the coefficients of power series based on the analyticity of the function that is represented by the series. This book discusses as well the applications of the theory of generating functions to counting problems. The final chapter deals with the formal aspects of the theory of generating functions. This book is a valuable resource for mathematicians and students.
Book Synopsis Generating Functionology by : Herbert S. Wilf
Download or read book Generating Functionology written by Herbert S. Wilf and published by Elsevier. This book was released on 2013-10-22 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences. An appendix on using the computer algebra programs MAPLE(r) and Mathematica(r) to generate functions is also included. The book provides a clear, unified introduction to the basic enumerative applications of generating functions, and includes exercises and solutions, many new, at the end of each chapter. Provides new applications on the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences Features an Appendix on using MAPLE(r) and Mathematica (r) to generate functions Includes many new exercises with complete solutions at the end of each chapter
Book Synopsis Excursions in Calculus by : Robert M. Young
Download or read book Excursions in Calculus written by Robert M. Young and published by Cambridge University Press. This book was released on 1992 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.
Book Synopsis Analytic Combinatorics by : Philippe Flajolet
Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics for the Physical Sciences by : Herbert S Wilf
Download or read book Mathematics for the Physical Sciences written by Herbert S Wilf and published by Courier Corporation. This book was released on 2013-01-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.
Book Synopsis 102 Combinatorial Problems by : Titu Andreescu
Download or read book 102 Combinatorial Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book A = B written by Marko Petkovsek and published by CRC Press. This book was released on 1996-01-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations. Beautifully written, the book contains practical applications as well as conceptual developments that will have applications in other areas of mathematics.From the ta
Book Synopsis Discrete Mathematics by : László Lovász
Download or read book Discrete Mathematics written by László Lovász and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.
Download or read book Graph Polynomials written by Yongtang Shi and published by CRC Press. This book was released on 2016-11-25 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.
Book Synopsis Combinatorial Methods with Computer Applications by : Jonathan L. Gross
Download or read book Combinatorial Methods with Computer Applications written by Jonathan L. Gross and published by CRC Press. This book was released on 2016-04-19 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat
Book Synopsis A Book of Abstract Algebra by : Charles C Pinter
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Book Synopsis GKS Theory and Practice by : Peter R. Bono
Download or read book GKS Theory and Practice written by Peter R. Bono and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eurographics, the European Association for Computer Graphics, has always been an important forum for discussions and presentation of results concerning the first ISO Graphical Standard, GKS (the Graphical Kernel System) and later of its three-dimensional extension, GKS-3D. This book is a collection of those articles which have appeared within the framework of Eurographics in the past 5 years, and which still contain, even after several years, valid and interesting results concerning the problems arising in connection with GKS. Some of these papers help the reader to gain a deeper understanding of the standard; others deal with general implementation problems, and finally there are some presentations of specific algorithms usable also for a GKS or GKS-3D implementation. The book may be of a particular interest to those specialists who intend to implement a GKS package or some similar graphics subsystem and who can therefore make direct use of the experiences reflected in this collection. The book should also be a valuable supplement in university courses concerned with teaching the principles of implementing device-independent computer graphics.
Book Synopsis Surveys in Combinatorics, 1989 by : J. Siemons
Download or read book Surveys in Combinatorics, 1989 written by J. Siemons and published by Cambridge University Press. This book was released on 1989-08-03 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many areas of current research activity in combinatorics and its applications, including graph theory, designs and probabilistic graphs, are surveyed in lectures presented at the 12th British Combinatorial Conference.
Book Synopsis Experimental Mathematics in Action by : David Bailey
Download or read book Experimental Mathematics in Action written by David Bailey and published by CRC Press. This book was released on 2007-05-31 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doi
Book Synopsis generatingfunctionology by : Herbert S. Wilf
Download or read book generatingfunctionology written by Herbert S. Wilf and published by . This book was released on 2005-12-20 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 the development of Internet search engines whose incredible capabilities dazzle even the mathematically trained user.
Download or read book IPhoto 2 written by David Pogue and published by "O'Reilly Media, Inc.". This book was released on 2003 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how to import, organize, modify, and share photographs using the Macintosh photograph editing and management software
Book Synopsis Local Cohomology and Its Applications by : Gennady Lybeznik
Download or read book Local Cohomology and Its Applications written by Gennady Lybeznik and published by CRC Press. This book was released on 2001-10-18 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics.
