Generatingfunctionology

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Generatingfunctionology

Herbert S. Wilf
Generatingfunctionology Book PDF

Author : Herbert S. Wilf
Publisher : Elsevier
Page : 192 pages
File Size : 54,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483276632

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Generatingfunctionology by Herbert S. Wilf Pdf

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.

Generating Functionology

Herbert S. Wilf
Generating Functionology Book PDF

Author : Herbert S. Wilf
Publisher : Elsevier
Page : 228 pages
File Size : 55,9 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9780080571515

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Generating Functionology by Herbert S. Wilf Pdf

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

Excursions in Calculus

Robert M. Young
Excursions in Calculus Book PDF

Author : Robert M. Young
Publisher : American Mathematical Soc.
Page : 429 pages
File Size : 42,6 Mb
Release : 1992-10-01
Category : Mathematics
ISBN : 9781470457204

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Excursions in Calculus by Robert M. Young Pdf

This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.

Analytic Combinatorics

Philippe Flajolet,Robert Sedgewick
Analytic Combinatorics Book PDF

Author : Philippe Flajolet,Robert Sedgewick
Publisher : Cambridge University Press
Page : 825 pages
File Size : 52,5 Mb
Release : 2009-01-15
Category : Mathematics
ISBN : 9781139477161

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Analytic Combinatorics by Philippe Flajolet,Robert Sedgewick Pdf

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.

Mathematics for the Physical Sciences

Herbert S Wilf
Mathematics for the Physical Sciences Book PDF

Author : Herbert S Wilf
Publisher : Courier Corporation
Page : 304 pages
File Size : 49,5 Mb
Release : 2013-01-18
Category : Mathematics
ISBN : 9780486153346

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Mathematics for the Physical Sciences by Herbert S Wilf Pdf

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.

Surveys in Combinatorics, 1989

J. Siemons
Surveys in Combinatorics 1989 Book PDF

Author : J. Siemons
Publisher : Cambridge University Press
Page : 232 pages
File Size : 40,5 Mb
Release : 1989-08-03
Category : Mathematics
ISBN : 0521378230

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Surveys in Combinatorics, 1989 by J. Siemons Pdf

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.

Discrete Mathematics

László Lovász,József Pelikán,Katalin Vesztergombi
Discrete Mathematics Book PDF

Author : László Lovász,József Pelikán,Katalin Vesztergombi
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 54,9 Mb
Release : 2006-05-10
Category : Mathematics
ISBN : 9780387217772

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Discrete Mathematics by László Lovász,József Pelikán,Katalin Vesztergombi Pdf

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.

A = B

Marko Petkovsek,Herbert S Wilf,Doron Zeilberger
A B Book PDF

Author : Marko Petkovsek,Herbert S Wilf,Doron Zeilberger
Publisher : CRC Press
Page : 224 pages
File Size : 52,6 Mb
Release : 1996-01-01
Category : Mathematics
ISBN : 9781439864500

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A = B by Marko Petkovsek,Herbert S Wilf,Doron Zeilberger Pdf

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 table of contents: * Proof Machines * Tightening the Target * The Hypergeometric Database * The Five Basic Algorithms: Sister Celine's Method, Gosper&'s Algorithm, Zeilberger's Algorithm, The WZ Phenomenon, Algorithm Hyper * Epilogue: An Operator Algebra Viewpoint * The WWW Sites and the Software (Maple and Mathematica) Each chapter contains an introduction to the subject and ends with a set of exercises.

Graph Polynomials

Yongtang Shi,Matthias Dehmer,Xueliang Li,Ivan Gutman
Graph Polynomials Book PDF

Author : Yongtang Shi,Matthias Dehmer,Xueliang Li,Ivan Gutman
Publisher : CRC Press
Page : 174 pages
File Size : 51,5 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9781315350967

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Graph Polynomials by Yongtang Shi,Matthias Dehmer,Xueliang Li,Ivan Gutman Pdf

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.

Problems from the Discrete to the Continuous

Ross G. Pinsky
Problems from the Discrete to the Continuous Book PDF

Author : Ross G. Pinsky
Publisher : Springer
Page : 154 pages
File Size : 43,9 Mb
Release : 2014-08-09
Category : Mathematics
ISBN : 9783319079653

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Problems from the Discrete to the Continuous by Ross G. Pinsky Pdf

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.

A Book of Abstract Algebra

Charles C Pinter
A Book of Abstract Algebra Book PDF

Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 40,7 Mb
Release : 2010-01-14
Category : Mathematics
ISBN : 9780486474175

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A Book of Abstract Algebra by Charles C Pinter Pdf

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.

Experimental Mathematics in Action

David Bailey,Jonathan Borwein,Neil Calkin,Russell Luke,Roland Girgensohn,Victor Moll
Experimental Mathematics in Action Book PDF

Author : David Bailey,Jonathan Borwein,Neil Calkin,Russell Luke,Roland Girgensohn,Victor Moll
Publisher : CRC Press
Page : 337 pages
File Size : 55,7 Mb
Release : 2007-05-31
Category : Mathematics
ISBN : 9781439864333

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Experimental Mathematics in Action by David Bailey,Jonathan Borwein,Neil Calkin,Russell Luke,Roland Girgensohn,Victor Moll Pdf

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

Local Cohomology and Its Applications

Gennady Lybeznik
Local Cohomology and Its Applications Book PDF

Author : Gennady Lybeznik
Publisher : CRC Press
Page : 358 pages
File Size : 45,8 Mb
Release : 2001-10-18
Category : Mathematics
ISBN : 9781482275766

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Local Cohomology and Its Applications by Gennady Lybeznik Pdf

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. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.

Analytic Number Theory

Donald J. Newman
Analytic Number Theory Book PDF

Author : Donald J. Newman
Publisher : Springer Science & Business Media
Page : 80 pages
File Size : 40,7 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387227405

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Analytic Number Theory by Donald J. Newman Pdf

Some of the central topics in number theory, presnted in a simple and concise fashion. The author covers an amazing amount of material, despite a leisurely pace and emphasis on readability. His heartfelt enthusiasm enables readers to see what is magical about the subject. All the topics are presented in a refreshingly elegant and efficient manner with clever examples and interesting problems throughout. The text is suitable for a graduate course in analytic number theory.

Combinatorial Methods with Computer Applications

Jonathan L. Gross
Combinatorial Methods with Computer Applications Book PDF

Author : Jonathan L. Gross
Publisher : CRC Press
Page : 664 pages
File Size : 45,8 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781584887447

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Combinatorial Methods with Computer Applications by Jonathan L. Gross Pdf

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