Degree of Approximation by Polynomials in the Complex Domain

Degree of Approximation by Polynomials in the Complex Domain PDF Author: Walter Edwin Sewell
Publisher: Princeton University Press
ISBN: 0691095728
Category : Mathematics
Languages : en
Pages : 251

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Book Description
A classic treatment of degree of approximation by polynomials in the complex domain from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Degree of Approximation by Polynomials in the Complex Domain

Degree of Approximation by Polynomials in the Complex Domain PDF Author: Walter Edwin Sewell
Publisher: Princeton University Press
ISBN: 0691095728
Category : Mathematics
Languages : en
Pages : 251

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Book Description
A classic treatment of degree of approximation by polynomials in the complex domain from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Approximation and Computation

Approximation and Computation PDF Author: Walter Gautschi
Publisher: Springer Science & Business Media
ISBN: 1441965947
Category : Mathematics
Languages : en
Pages : 482

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Book Description
Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines; - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.

Proceedings of the National Academy of Sciences of the United States of America

Proceedings of the National Academy of Sciences of the United States of America PDF Author: National Academy of Sciences (U.S.)
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 742

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Book Description
The Proceedings of the National Academy of Sciences (PNAS) publishes research reports, commentaries, reviews, colloquium papers, and actions of the Academy. PNAS is a multidisciplinary journal that covers the biological, physical, and social sciences.

Books in Series

Books in Series PDF Author:
Publisher:
ISBN:
Category : Monographic series
Languages : en
Pages : 1858

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Book Description
Vols. for 1980- issued in three parts: Series, Authors, and Titles.

Advancements in Complex Analysis

Advancements in Complex Analysis PDF Author: Daniel Breaz
Publisher: Springer Nature
ISBN: 3030401200
Category : Mathematics
Languages : en
Pages : 538

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Book Description
The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.

Progress in Approximation Theory and Applicable Complex Analysis

Progress in Approximation Theory and Applicable Complex Analysis PDF Author: Narendra Kumar Govil
Publisher: Springer
ISBN: 331949242X
Category : Mathematics
Languages : en
Pages : 541

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Book Description
Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.

Approximation Theory and Approximation Practice, Extended Edition

Approximation Theory and Approximation Practice, Extended Edition PDF Author: Lloyd N. Trefethen
Publisher: SIAM
ISBN: 1611975948
Category : Mathematics
Languages : en
Pages : 377

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Book Description
This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

Books in Series, 1876-1949: Series

Books in Series, 1876-1949: Series PDF Author:
Publisher:
ISBN:
Category : Booksellers' catalogs
Languages : en
Pages : 936

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Book Description


Subject Guide to Books in Print

Subject Guide to Books in Print PDF Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2118

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Book Description


Scientific and Technical Books and Serials in Print

Scientific and Technical Books and Serials in Print PDF Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 1290

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Book Description