Share

Approximation Theory and Approximation Practice, Extended Edition

2019-01-01 Mathematics
Download Approximation Theory and Approximation Practice, Extended Edition PDF Online Free

Author :
Release : 2019-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 948/5 ( reviews)

GET EBOOK


Book Synopsis Approximation Theory and Approximation Practice, Extended Edition by : Lloyd N. Trefethen

Download or read book Approximation Theory and Approximation Practice, Extended Edition written by Lloyd N. Trefethen. This book was released on 2019-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition 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. 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. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. 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.

An Introduction to the Approximation of Functions

1981-01-01 Mathematics
Download An Introduction to the Approximation of Functions PDF Online Free

Author :
Release : 1981-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 693/5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to the Approximation of Functions by : Theodore J. Rivlin

Download or read book An Introduction to the Approximation of Functions written by Theodore J. Rivlin. This book was released on 1981-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Approximation Theory and Methods

1981-03-31 Mathematics
Download Approximation Theory and Methods PDF Online Free

Author :
Release : 1981-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 147/5 ( reviews)

GET EBOOK


Book Synopsis Approximation Theory and Methods by : M. J. D. Powell

Download or read book Approximation Theory and Methods written by M. J. D. Powell. This book was released on 1981-03-31. Available in PDF, EPUB and Kindle. Book excerpt: Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.

Model Reduction and Approximation

2017-07-06 Science
Download Model Reduction and Approximation PDF Online Free

Author :
Release : 2017-07-06
Genre : Science
Kind : eBook
Book Rating : 81X/5 ( reviews)

GET EBOOK


Book Synopsis Model Reduction and Approximation by : Peter Benner

Download or read book Model Reduction and Approximation written by Peter Benner. This book was released on 2017-07-06. Available in PDF, EPUB and Kindle. Book excerpt: Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework. It is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods. It also covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).?? This book is intended for researchers interested in model reduction and approximation, particularly graduate students and young researchers.

Exploring ODEs

2017-12-21 Mathematics
Download Exploring ODEs PDF Online Free

Author :
Release : 2017-12-21
Genre : Mathematics
Kind : eBook
Book Rating : 166/5 ( reviews)

GET EBOOK


Book Synopsis Exploring ODEs by : Lloyd N. Trefethen

Download or read book Exploring ODEs written by Lloyd N. Trefethen. This book was released on 2017-12-21. Available in PDF, EPUB and Kindle. Book excerpt: Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.?

You may also like...