Applied and Computational Complex Analysis, Volume 3
Applied and Computational Complex Analysis, Volume 3

Author: Peter Henrici

Publisher: John Wiley & Sons

Published: 1993-04-16

Total Pages: 660

ISBN-13: 9780471589860

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Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.

Differential and Integral Calculus, Volume 1
Differential and Integral Calculus, Volume 1

Author: Richard Courant

Publisher: John Wiley & Sons

Published: 2011-08-15

Total Pages: 634

ISBN-13: 1118031490

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The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.

Optimal Statistical Decisions
Optimal Statistical Decisions

Author: Morris H. DeGroot

Publisher: John Wiley & Sons

Published: 2004-04-30

Total Pages: 514

ISBN-13: 9780471680291

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The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists.

Multiple Imputation for Nonresponse in Surveys
Multiple Imputation for Nonresponse in Surveys

Author: Donald B. Rubin

Publisher: John Wiley & Sons

Published: 2004-06-09

Total Pages: 324

ISBN-13: 9780471655749

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Demonstrates how nonresponse in sample surveys and censuses can be handled by replacing each missing value with two or more multiple imputations. Clearly illustrates the advantages of modern computing to such handle surveys, and demonstrates the benefit of this statistical technique for researchers who must analyze them. Also presents the background for Bayesian and frequentist theory. After establishing that only standard complete-data methods are needed to analyze a multiply-imputed set, the text evaluates procedures in general circumstances, outlining specific procedures for creating imputations in both the ignorable and nonignorable cases. Examples and exercises reinforce ideas, and the interplay of Bayesian and frequentist ideas presents a unified picture of modern statistics.

Handbook of Conformal Mappings and Applications
Handbook of Conformal Mappings and Applications

Author: Prem K. Kythe

Publisher: CRC Press

Published: 2019-03-04

Total Pages: 841

ISBN-13: 135171872X

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The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.

Applied and Computational Complex Analysis, Volume 2
Applied and Computational Complex Analysis, Volume 2

Author: Peter Henrici

Publisher: Wiley-Interscience

Published: 1991-03-21

Total Pages: 682

ISBN-13:

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A self-contained presentation of the major areas of complex analysis that are referred to and used in applied mathematics and mathematical physics. Topics discussed include infinite products, ordinary differential equations and asymptotic methods.

Topics in Complex Function Theory, Volume 3
Topics in Complex Function Theory, Volume 3

Author: Carl Ludwig Siegel

Publisher: John Wiley & Sons

Published: 1989-01-18

Total Pages: 260

ISBN-13: 9780471504016

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Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.

Invitation to Complex Analysis
Invitation to Complex Analysis

Author: Ralph P. Boas

Publisher: American Mathematical Soc.

Published: 2020-05-05

Total Pages: 327

ISBN-13: 0883857642

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Ideal for a first course in complex analysis, this book can be used either as a classroom text or for independent study. Written at a level accessible to advanced undergraduates and beginning graduate students, the book is suitable for readers acquainted with advanced calculus or introductory real analysis. The treatment goes beyond the standard material of power series, Cauchy's theorem, residues, conformal mapping, and harmonic functions by including accessible discussions of intriguing topics that are uncommon in a book at this level. The flexibility afforded by the supplementary topics and applications makes the book adaptable either to a short, one-term course or to a comprehensive, full-year course. Detailed solutions of the exercises both serve as models for students and facilitate independent study. Supplementary exercises, not solved in the book, provide an additional teaching tool. This second edition has been painstakingly revised by the author's son, himself an award-winning mathematical expositor.

Complex Analysis
Complex Analysis

Author: Eberhard Freitag

Publisher: Springer Science & Business Media

Published: 2009-04-28

Total Pages: 533

ISBN-13: 3540939830

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All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 3
Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 3

Author: Roderick S C Wong

Publisher: World Scientific

Published: 2000-06-30

Total Pages: 659

ISBN-13: 9814493074

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This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.