Herbert S Wilf's Books

Generatingfunctionology

By: Herbert S. Wilf

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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.

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193

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Elsevier

Published Date

ISBN 10

1483276635

ISBN 13

9781483276632

Generating Functionology

By: Herbert S. Wilf

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Generating Functionology

By: Herbert S. Wilf

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

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Page Count

239

Publisher

Elsevier

Published Date

ISBN 10

0080571514

ISBN 13

9780080571515

A = B

By: Marko Petkovsek,Herbert S Wilf,Doron Zeilberger

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A = B

By: Marko Petkovsek,Herbert S Wilf,Doron Zeilberger

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

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231

Publisher

CRC Press

Published Date

ISBN 10

1439864500

ISBN 13

9781439864500

Combinatorial Algorithms

For Computers and Calculators

By: Albert Nijenhuis,Herbert S. Wilf

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Combinatorial Algorithms

For Computers and Calculators

By: Albert Nijenhuis,Herbert S. Wilf

Combinatorial Algorithms for Computers and Calculators, Second Edition deals with combinatorial algorithms for computers and calculators. Topics covered range from combinatorial families such as the random subset and k-subset of an n-set and Young tableaux, to combinatorial structures including the cycle structure of a permutation and the spanning forest of a graph. Newton forms of a polynomial and the composition of power series are also discussed. Comprised of 30 chapters, this volume begins with an introduction to combinatorial algorithms by considering the generation of all of the 2n subsets of the set {1, 2,...,n}. The discussion then turns to the random subset and k-subset of an n-set; next composition of n into k parts; and random composition of n into k parts. Subsequent chapters focus on sequencing, ranking, and selection algorithms in general combinatorial families; renumbering rows and columns of an array; the cycle structure of a permutation; and the permanent function. Sorting and network flows are also examined, along with the backtrack method and triangular numbering in partially ordered sets. This book will be of value to both students and specialists in the fields of applied mathematics and computer science.

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320

Publisher

Elsevier

Published Date

ISBN 10

1483273458

ISBN 13

9781483273457

Mathematics for the Physical Sciences

By: Herbert S Wilf

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Mathematics for the Physical Sciences

By: Herbert S Wilf

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.

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Page Count

304

Publisher

Courier Corporation

Published Date

ISBN 10

0486153347

ISBN 13

9780486153346

Combinatorial Algorithms

An Update

By: Herbert S. Wilf

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Combinatorial Algorithms

An Update

By: Herbert S. Wilf

Covers key recent advances in combinatorial algorithms.

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SIAM

Published Date

ISBN 10

0898712319

ISBN 13

9780898712315

Finite Sections of Some Classical Inequalities

By: Herbert S. Wilf

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Finite Sections of Some Classical Inequalities

By: Herbert S. Wilf

Hardy, Littlewood and P6lya's famous monograph on inequalities [17J has served as an introduction to hard analysis for many mathema ticians. Some of its most interesting results center around Hilbert's inequality and generalizations. This family of inequalities determines the best bound of a family of operators on /p. When such inequalities are restricted only to finitely many variables, we can then ask for the rate at which the bounds of the restrictions approach the uniform bound. In the context of Toeplitz forms, such research was initiated over fifty years ago by Szego [37J, and the chain of ideas continues to grow strongly today, with fundamental contributions having been made by Kac, Widom, de Bruijn, and many others. In this monograph I attempt to draw together these lines of research from the point of view of sharpenings of the classical inequalities of [17]. This viewpoint leads to the exclusion of some material which might belong to a broader-based discussion, such as the elegant work of Baxter, Hirschman and others on the strong Szego limit theorem, and the inclusion of other work, such as that of de Bruijn and his students, which is basically nonlinear, and is therefore in some sense disjoint from the earlier investigations. I am grateful to Professor Halmos for inviting me to prepare this volume, and to Professors John and Olga Todd for several helpful comments. Philadelphia, Pa. H.S.W.

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Springer Science & Business Media

Published Date

ISBN 10

364286712X

ISBN 13

9783642867125

Numerical Solution of Two Point Boundary Value Problems

By: Herbert B. Keller

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Numerical Solution of Two Point Boundary Value Problems

By: Herbert B. Keller

Lectures on a unified theory of and practical procedures for the numerical solution of two point boundary-value problems.

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SIAM

Published Date

ISBN 10

0898710219

ISBN 13

9780898710212

Geometric Probability

By: Herbert Solomon

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Geometric Probability

By: Herbert Solomon

Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W.L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M.W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph.

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Page Count

180

Publisher

SIAM

Published Date

ISBN 10

1611970415

ISBN 13

9781611970418

Generatingfunctionology

By: Herbert S. Wilf

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Generatingfunctionology

By: Herbert S. Wilf

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Page Count

193

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Elsevier

Published Date

ISBN 10

1483276635

ISBN 13

9781483276632

A = B

By: Marko Petkovsek,Herbert S Wilf,Doron Zeilberger

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A = B

By: Marko Petkovsek,Herbert S Wilf,Doron Zeilberger

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Page Count

231

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CRC Press

Published Date

ISBN 10

1439864500

ISBN 13

9781439864500

Combinatorial Algorithms

An Update

By: Herbert S. Wilf

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Combinatorial Algorithms

An Update

By: Herbert S. Wilf

Covers key recent advances in combinatorial algorithms.

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SIAM

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ISBN 10

0898712319

ISBN 13

9780898712315

Generating Functionology

By: Herbert S. Wilf

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Generating Functionology

By: Herbert S. Wilf

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Page Count

239

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Elsevier

Published Date

ISBN 10

0080571514

ISBN 13

9780080571515

Combinatorial Algorithms

For Computers and Calculators

By: Albert Nijenhuis,Herbert S. Wilf

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Combinatorial Algorithms

For Computers and Calculators

By: Albert Nijenhuis,Herbert S. Wilf

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Solve jigsaw puzzle

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Page Count

320

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Elsevier

Published Date

ISBN 10

1483273458

ISBN 13

9781483273457

Book's by Herbert S Wilf

Generatingfunctionology

Generatingfunctionology

Generating Functionology

Generating Functionology

A = B

A = B

Combinatorial Algorithms

Combinatorial Algorithms

Mathematics for the Physical Sciences

Mathematics for the Physical Sciences

Combinatorial Algorithms

Combinatorial Algorithms

Finite Sections of Some Classical Inequalities

Finite Sections of Some Classical Inequalities

Numerical Solution of Two Point Boundary Value Problems

Numerical Solution of Two Point Boundary Value Problems

Geometric Probability

Geometric Probability

Generatingfunctionology

Generatingfunctionology

A = B

A = B

Combinatorial Algorithms

Combinatorial Algorithms

Generating Functionology

Generating Functionology

Combinatorial Algorithms

Combinatorial Algorithms

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