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Approximation Theory and Approximation Practice (Applied Mathematics) Paperback – 3 Jan 2013

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Product details

  • Paperback: 295 pages
  • Publisher: Society for Industrial and Applied Mathematics (3 Jan. 2013)
  • Language: English
  • ISBN-10: 1611972396
  • ISBN-13: 978-1611972399
  • Product Dimensions: 17.4 x 1.5 x 24.7 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 615,593 in Books (See Top 100 in Books)
  • See Complete Table of Contents

Product Description

Book Description

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.

About the Author

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.

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Amazon.com: HASH(0x98262198) out of 5 stars 2 reviews
7 of 7 people found the following review helpful
HASH(0x98455840) out of 5 stars Some of the Best Online Resources Anywhere 28 Sept. 2014
By Let's Compare Options Preptorial - Published on Amazon.com
Format: Paperback
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.
2 of 4 people found the following review helpful
HASH(0x98455930) out of 5 stars The book is very easy to understand even for those who do not meet approximation theory before 28 Oct. 2013
By Jun Lai - Published on Amazon.com
Format: Paperback Verified Purchase
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.
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