Interpolation and Approximation (Dover Books on Mathematics) 1st Edition by Philip J. Davis (PDF)

Description

Interpolation and approximation offer important applications in computer science and elsewhere. This intermediate-level survey by a noted authority abounds in useful examples of related subjects and has been praised for its level of clarity and reliance on well-presented and useful examples. A brief introductory chapter presents helpful definitions and theorems. Subsequent chapters explore interpolation, remainder theory, convergence theorems for interpolatory processes, and some problems of infinite interpolation. Additional topics include uniform and best approximation, least square approximation, Hilbert space, orthogonal polynomials, the theory of closure and completeness, expansion theorems for orthogonal functions, degree of approximation, and approximation of linear functionals. A familiarity with real and complex variable theory and linear algebra is assumed. 1963 edition.

User’s Reviews

Editorial Reviews: From the Back Cover Interpolation and approximation offer important applications in computer science and elsewhere. This intermediate-level survey by a noted authority abounds in useful examples of related subjects and has been praised for its level of clarity and reliance on well-presented and useful examples. A brief introductory chapter presents helpful definitions and theorems. Subsequent chapters explore interpolation, remainder theory, convergence theorems for interpolatory processes, and some problems of infinite interpolation. Additional topics include uniform and best approximation, least square approximation, Hilbert space, orthogonal polynomials, the theory of closure and completeness, expansion theorems for orthogonal functions, degree of approximation, and approximation of linear functionals. A familiarity with real and complex variable theory and linear algebra is assumed. About the Author Philip J. Davis is Professor Emeritus of Applied Mathematics at Brown University. His other Dover books include Methods of Numerical Integration: Second Edition, and Descartes’ Dream: The World According to Mathematics (co-written with Reuben Hersh).

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The review is not about the quality of book, its about the quality of delivery. the package was quite sturdy, so i think the book cover was already damaged before sending. Im gonna keep the book for the content, but i dont buy books from this sellwr again.

⭐I think that this is book is too difficult for all but the most elite of undergraduate students (i.e., Ivy League, UC Berkeley, UCLA, and so on). I think also that pure mathematicians at most second rate grad schools will find the book challenging to too difficult. And the reason is that he assumes a lot of familiarity with functional analysis and advanced complex analysis that usually only comes from a master’s in math. In fact, I think that a master’s in math or its equivalent is a good pre-requisite for being able to follow most of the book.I am currently a grad student in math, and I love numerical analysis and am doing well in it, but my class is mostly algorithms like the QR algorithm and matrix decomposition. There is not even a master’s class in my program that is offered that would quality as a necessary prerequisite for this book – i.e., functional analysis is not offered in my program, and this I think is only one of the prerequisites for this book.I don’t have a problem with his writing style, presentation, or use of examples, as far as I can understand the book. I just think that a master’s from a good school or equivalent math experience is necessary to follow his arguments.

⭐There are two principal reasons to recommend this book. First, it is one of the rare books in approximation theory that covers complex analytic functions. Second, the selection and presentation of the material is unusually clear and full of useful examples. The author balances the level of generality against the usefulness of the result. In other words, he avoids the trap of stating the result in such a high level of generality that the usefulness of the result is completely obscured. Another good book in this area at a slightly higher level of difficulty is “Theory of Approximation” by Achieser. This book is suitable for self study by a graduate student in the first year or a very advanced undergraduate.

⭐This book is rather elementary and is a trove of useful information in the approximation theory. In particular, it contains results that are generally unknown to the scientific community.

Keywords

Free Download Interpolation and Approximation (Dover Books on Mathematics) 1st Edition in PDF format
Interpolation and Approximation (Dover Books on Mathematics) 1st Edition PDF Free Download
Download Interpolation and Approximation (Dover Books on Mathematics) 1st Edition 2014 PDF Free
Interpolation and Approximation (Dover Books on Mathematics) 1st Edition 2014 PDF Free Download
Download Interpolation and Approximation (Dover Books on Mathematics) 1st Edition PDF
Free Download Ebook Interpolation and Approximation (Dover Books on Mathematics) 1st Edition