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eBook Approximation Theory and Approximation Practice (Applied Mathematics) ePub

eBook Approximation Theory and Approximation Practice (Applied Mathematics) ePub

by Lloyd N. Trefethen

  • ISBN: 1611972396
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Lloyd N. Trefethen
  • Language: English
  • Publisher: Society for Industrial and Applied Mathematics (December 3, 2012)
  • Pages: 295
  • ePub book: 1276 kb
  • Fb2 book: 1179 kb
  • Other: lrf lit azw rtf
  • Rating: 4.6
  • Votes: 713

Description

Nick Trefethen is Professor of Numerical Analysis at the University of Oxford and a Fellow of the Royal Society.

Ships from and sold by indoobestsellers. Nick Trefethen is Professor of Numerical Analysis at the University of Oxford and a Fellow of the Royal Society. During 2011-12 he served as President of SIAM. Series: Applied Mathematics.

Find all the books, read about the author, and more. Are you an author? Learn about Author Central. Lloyd N. Trefethen (Author).

all applied mathematics, Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory. Trefethen, Oxford University.

Written for advanced undergraduates and graduate students across all applied mathematics, Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory. The emphasis is on theorems and methods for analytic functions that often appear in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Topics include Chebyshev points and interpolants, barycentric interpolation formulas, and the Gibbs phenomenon.

Approximation Practice. With 163 gures and 210 exercises. 16 Approximation Theory and Approximation Practice. Throughout applied mathematics, one encounters three closely analogous canon-ical settings associated with the names of Fourier, Laurent, and Chebyshev. In fact, if we impose certain symmetries in the Fourier and Laurent cases, the analogies become equivalences 16 Approximation Theory and Approximation Practice.

This book presents a twenty-first century approach to classical polynomial and rational approximation theory. This textbook is ideal for advanced undergraduates and graduate students across all of applied mathematics. 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.

Электронная книга "Approximation Theory and Approximation Practice", Lloyd N. Trefethen. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Approximation Theory and Approximation Practice" для чтения в офлайн-режиме.

This book differs fundamentally from other works on approximation theory: The emphasis is on topics close to numerical . Nick Trefethen is Professor of Numerical Analysis at Oxford University and a Fellow of the Royal Society. During 2011–2012 he served as President of SIAM.

This book differs fundamentally from other works on approximation theory: The emphasis is on topics close to numerical algorithms. Everything is illustrated with Chebfun. The emphasis is 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. Categories: Mathematics\Applied Mathematicsematics.

oceedings{mationTA, title {Approximation Theory and Approximation . New and Sharp Bounds for orthogonal polynomial approximation of functions in fractional Sobolev-type spaces I: Chebyshev Case. Wenjie Liu, Li-Lian Wang, Huiyuan Li.

oceedings{mationTA, title {Approximation Theory and Approximation Practice (Other Titles in Applied Mathematics)}, author {Lloyd N. Trefethen}, year {2012} }. 2017.

By (author) Lloyd N. 13% off. Approximation Theory and Approximation Practice. Free delivery worldwide. This book presents a twenty-first century approach to classical polynomial and rational approximation theory.

3) M J D Powell, Approximation theory and methods, 1981 (CUP, reprinted 1988). 4) E. W. Cheney, An Introduction to Approximation Theory, 2nd e. New York: Chelsea, 1982. Lorentz, Constructive Approximation, Springer Verlag, 1993. 6) Pyramid Algorithms, A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling, R Goldman, Elsevier-2002

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.

Comments

Fato Fato
It covers a lot aspects of appr theory, while still keep understandable for most people with undergraduate math. It also includes a lot of examples for how use chebfun.
jorik jorik
Approximation Theory is VERY old, and engineers from decades ago used to struggle with it. Analytic, stochastic, and qualitative methods were well traveled areas until the dawn of numerics, NP computing theory, etc. when the field was given a new birth with an explosion of new algorithms, matrices and frames.

This author not only wrote this one and only text on the most up to date topics in the field (notwithstanding several wonderful texts on approx algos themselves such as Approximation Algorithms,The Design of Approximation Algorithms,Design and Analysis of Approximation Algorithms (Springer Optimization and Its Applications, Vol. 62)), but also DESIGNED the open source (but requiring placement in a MATLAB path) Chebfun program.

With a LOT of work, I HAVE gotten the author's examples to run on GNU Octave for those of you who don't have access to Matlab, but it takes a lot of bootstrapping and work arounds. I'd be willing to share my work with anyone, including the authors. I truly wish the author's skeleton staff at chebfun would consider an octave library or plugin. I volunteer at preptorial dot org where they offer all this software free for disadvantaged or non-university/ non-corporate connected learners (meaning no access to awesome but expensive math and engineering software).

This author has also taken the time to make his online adjuncts some of the best I've ever seen, and we evaluate thousands of them at preptorial. You can see them at chebfun dot org forward slash ATAP, and they not only include a great look see of the first 6 chapters, but also EVERY chapter in chebfun/Matlab so you can run all the examples without typing!

How is this book different than the algo books mentioned above? 1. This text is practical, RUNS on today's software, and is not "pseudo" code 2. The outstanding algo books above are about developing the underlying algos that run beneath GNU Octve and Matlab, and if you are trying to tackle this in C or numpy, they are great, but if you want to hit the ground running and solve problems immediately, they are the wrong wheelhouse-- Trefethen in a MUST for those objectives. 3. The question is really apples and oranges because algorithm development in ATAP is a very active RESEARCH field, but when you get to real applications, everyone jumps to chebfun, matlab, maple, GNU octave, etc. Few want to reinvent the wheel that Trefethen's team has so adroitly created! If you want to LEARN ATAP, the three algo books are an expensive way to get a narrow piece of the field, whereas this text covers the entire field with modern updates for numeric AND algorithmic methods. Highly Recommended. Level: High undergrad-- you should be very familiar with polynomial expansions, linear algebra and numeric methods. You do not need a first course in ATAP for this, but have to have a good foundation in math/computing. Go to the link at chebfun and read the first 6 chapters if you're not sure.