Best Books – Approximation Theory

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We have compiled the list of Top 10 Best Reference Books on Approximation Theory subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Approximation Theory along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Approximation Theory subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Approximation Theory" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “An Introduction to the Approximation of Functions” by Theodore J Rivlin

“An Introduction to the Approximation of Functions” Book Review: The book provides an introduction to the needs of automatic digital computation with particular emphasis on approximation by polynomials. The book discusses the concepts of approximation theory with at least one algorithm leading to actual numerical approximation. The contents of the book will be useful for introductory courses in both mathematical and numerical analysis. It covers a variety of approximation methods, including interpolation methods and an introduction to splines. The book includes a knowledge of advanced calculus and linear algebra and is written for upper-level graduate students. At the end of each chapter there are exercises for students to practise and an excellent bibliography.

2. “Approximation Theory: Proceedings of an International Conference held at Bonn, Germany” by R Schaback and K Scherer
3. “Approximation Theory: From Taylor Polynomials to Wavelets” by Ole Christensen and Khadija Laghrida Christensen

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“Approximation Theory: From Taylor Polynomials to Wavelets” Book Review: This book gives an introduction to a classical area of mathematics, approximation theory, in a way that naturally leads to the modern field of wavelets. It also tells us how to do approximation using polynomials. It introduces us to an infinite series, with emphasis on approximation-theoretic aspects. Topics like Fourier analysis, elementary calculus and discussion of the role of wavelets in digital signal processing and data compression are all included in the book. It is an ideal book for students and instructors in pure and applied mathematics, mathematical physics and engineering.

4. “A Course In Approximation Theory” by Cheney W

“A Course In Approximation Theory” Book Review: The aim of the book is to explore contemporary approximation theory. Special attention is paid on the concept of multivariable approximation theory. The topics in the book contain concepts from basic knowledge to the current active research. The book contains practical problems arising in diverse applications such as science, engineering, geophysics and business and economics. The book consists of topics like projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, etc. The book includes 438 problems and exercises for the reader to get a better understanding of the subject. The most important part of the book is bibliography of almost 600 items.

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5. “Interpolation and Approximation by Polynomials (CMS Books in Mathematics)” by George M Phillips

“Interpolation and Approximation by Polynomials (CMS Books in Mathematics)” Book Review: The contents of the book are about multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials. The book covers the concept of Peano kernel theorem. The book includes many worked examples and each section ends with a number of carefully selected problems for the better understanding of students.

6. “The Design of Approximation Algorithms” by David P Williamson and David B Shmoys

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“The Design of Approximation Algorithms” Book Review: The book helps the readers to understand how to design approximation algorithms that find provably near-optimal solutions. The material of the book is about central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming etc. In the first section each chapter is about a single algorithmic technique applied to several different problems, with more sophisticated treatment in the second section. The book also tells us about the methods with the help of which we can prove that optimization problems are hard to approximate. The book is written for graduate-level algorithm courses, it will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

7. “Approximation Theory in the Central Limit Theorem: Exact Results in Banach Spaces (Mathematics and its Applications)” by V Paulauskas and A Rackauskas
8. “Topics in Approximation Theory (Lecture Notes in Mathematics)” by Harold S Shapiro
9. “Convergence Estimates in Approximation Theory” by Vijay Gupta and Ravi P Agarwal

“Convergence Estimates in Approximation Theory” Book Review: The book deals with the study of linear positive operators with significant relevance to studies of computer-aided geometric design, numerical analysis and differential equations. The focus of the book is on the convergence of linear positive operators in real and complex domains. The book explores new and more efficient methods of applying this research to studies in Optimization and Analysis. This will be a useful guide for upper-level students who are interested in this field and to researchers developing innovative approaches.

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10. “Fundamentals of Approximation Theory” by H N Mhaskar and D V Pai

“Fundamentals of Approximation Theory” Book Review: This book represents a systematic, in-depth treatment of some basic topics in approximation theory designed to emphasize the rich connections of the subject with other areas of study. This book has a smooth approach from the very concrete to more and more abstract levels, this text provides an outstanding blend of classical and abstract topics. The theory is presented in such a way that readers need to begin research in this domain for better understanding. It covers some core topics like spline functions, orthogonal polynomials, approximation in normed linear spaces and expose readers to the use of complex analytic methods in approximation theory. In this book each chapter contains problems of varying difficulty, including some drawn from contemporary research. This book is for introductory graduate-level class, Fundamentals of Approximation Theory also contains enough advanced material to serve more specialized courses at the doctoral level and to interest scientists and engineers.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Approximation Theory – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Approximation Theory" so that one can readily see the list of top books on "Approximation Theory" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Approximation Theory subject, please let us know.

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