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Approximation Theory and Approximation Practice (Paperback) - Lloyd N. Trefethen
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Lloyd N. Trefethen:
Approximation Theory and Approximation Practice (Paperback) - Taschenbuch

2013, ISBN: 1611972396

ID: 22395989583

[EAN: 9781611972399], Neubuch, [PU: Society for Industrial Applied Mathematics,U.S., United States], Language: English . Brand New Book. This book presents a twenty-first century approach to classical polynomial and rational approximation theory. The reader will find a strikingly original treatment of the subject, completely unlike any of the existing literature on approximation theory, with a rich set of both computational and theoretical exercises for the classroom. There are many original features that set this book apart: the emphasis is on topics close to numerical algorithms; every idea is illustrated with Chebfun examples; each chapter has an accompanying Matlab file for the reader to download; the text focuses on theorems and methods for analytic functions; original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. This textbook is ideal for advanced undergraduates and graduate students across all of applied mathematics.

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Approximation Theory and Approximation Practice
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Approximation Theory and Approximation Practice - neues Buch

ISBN: 9781611972399

ID: 9781611972399

This book presents a twenty-first century approach to classical polynomial and rational approximation theory. The reader will find a strikingly original treatment of the subject, completely unlike any of the existing literature on approximation theory, with a rich set of both computational and theoretical exercises for the classroom. There are many original features that set this book apart: the emphasis is on topics close to numerical algorithms; every idea is illustrated with Chebfun examples; each chapter has an accompanying Matlab file for the reader to download; the text focuses on theorems and methods for analytic functions; original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. This textbook is ideal for advanced undergraduates and graduate students across all of applied mathematics. Books

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Approximation Theory and Approximation Practice - Lloyd, Trefethen N.
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Lloyd, Trefethen N.:
Approximation Theory and Approximation Practice - Taschenbuch

2013, ISBN: 9781611972399

[ED: Softcover], [PU: Cambridge University Press], This original treatment of approximation theory brings the subject into the twenty-first century. The text includes a rich set of exercises and every idea is illustrated with Chebfun examples. Other features include downloadable Matlab code and a carefully chosen annotated bibliography. Essential for graduates and advanced undergraduates in applied mathematics. 2013. 295 p. w. ill. 247 mm Sofort lieferbar, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Approximation Theory and Approximation Practice (Applied Mathematics) - Trefethen, Lloyd N.
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Trefethen, Lloyd N.:
Approximation Theory and Approximation Practice (Applied Mathematics) - Taschenbuch

2012, ISBN: 1611972396

ID: 12771603260

[EAN: 9781611972399], Gebraucht, sehr guter Zustand, [PU: Society for Industrial and App], Great condition with minimal wear, aging, or shelf wear.

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Approximation Theory and Approximation Practice - Lloyd N. Trefethen
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ISBN: 9781611972399

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Details zum Buch
Approximation Theory and Approximation Practice (Applied Mathematics)

In a book that will appeal to beginners and experts alike, Oxford University s Nick Trefethen presents approximation theory using a fresh approach for this established field.

Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It uses MATLAB to teach the field s most important ideas and results and 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.

In addition, 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.

Each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Audience: 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.

Contents:1. Introduction; 2. Chebyshev Points and Interpolants; 3. Chebyshev Polynomials and Series; 4. Interpolants, Projections, and Aliasing; 5. Barycentric Interpolation Formula; 6. Weierstrass Approximation Theorem; 7. Convergence for Differentiable Functions; 8. Convergence for Analytic Functions; 9. Gibbs Phenomenon; 10. Best Approximation; 11. Hermite Integral Formula; 12. Potential Theory and Approximation; 13. Equispaced Points, Runge Phenomenon; 14. Discussion of High-Order Interpolation; 15. Lebesgue Constants; 16. Best and Near-Best; 17. Orthogonal Polynomials; 18. Polynomial Roots and Colleague Matrices; 19. Clenshaw--Curtis and Gauss Quadrature; 20. Carathéodory--Fejér Approximation; 21. Spectral Methods; 22. Linear Approximation: Beyond Polynomials; 23. Nonlinear Approximation: Why Rational Functions?; 24. Rational Best Approximation; 25. Two Famous Problems; 26. Rational Interpolation and Linearized Least-Squares; 27. Padé Approximation; 28. Analytic Continuation and Convergence Acceleration; Appendix: Six Myths of Polynomial Interpolation and Quadrature.

Detailangaben zum Buch - Approximation Theory and Approximation Practice (Applied Mathematics)


EAN (ISBN-13): 9781611972399
ISBN (ISBN-10): 1611972396
Taschenbuch
Erscheinungsjahr: 2013
Herausgeber: CAMBRIDGE UNIV PR
295 Seiten
Sprache: Englisch

Buch in der Datenbank seit 04.05.2008 18:11:48
Buch zuletzt gefunden am 19.12.2017 22:22:33
ISBN/EAN: 1611972396

ISBN - alternative Schreibweisen:
1-61197-239-6, 978-1-61197-239-9


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