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Titlebook: Approximation Theory; From Taylor Polynomi Ole Christensen,Khadija L. Christensen Textbook 2005 Springer Science+Business Media New York 20

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发表于 2025-3-21 16:49:19 | 显示全部楼层 |阅读模式
期刊全称Approximation Theory
期刊简称From Taylor Polynomi
影响因子2023Ole Christensen,Khadija L. Christensen
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发行地址Concisely written, user-friendly book.Demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications.Includes classical,
学科分类Applied and Numerical Harmonic Analysis
图书封面Titlebook: Approximation Theory; From Taylor Polynomi Ole Christensen,Khadija L. Christensen Textbook 2005 Springer Science+Business Media New York 20
影响因子This book gives an elementary introduction to a classical area of mathemat­ ics - approximation theory - in a way that naturally leads to the modern field of wavelets. The main thread throughout the book is the idea of ap­ proximating "complicated expressions" with "simpler expressions," and how this plays a decisive role in many areas of modern mathematics and its applications. One of the main goals of the presentation is to make it clear to the reader that mathematics is a subject in a state of continuous evolution. This fact is usually difficult to explain to students at or near their second year of uni­ versity. Often, teachers do not have adequate elementary material to give to students as motivation and encouragement for their further studies. The present book will be of use in this context because the exposition demon­ strates the dynamic nature of mathematics and how classical disciplines influence many areas of modern mathematics and applications. The book may lead readers toward more advanced literature, such as the other pub­ lications in the Applied and Numerical Harmonic Analysis series (ANHA), by introducing ideas presented in several of those books in an elementary c
Pindex Textbook 2005
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Wavelets and Applications,on . in the class has an expansion.for some coefficients .. We note that this idea is similar to what we have seen in the context of power series and Fourier series: these cases correspond to the functions . being polynomials or trigonometric functions, respectively.
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Betriebswirtschaftliche Studien define an infinite sum of real (or complex) numbers. That is, our first task will be to consider an infinite sequence of numbers ., a.,..., .,..., and examine when and how we can make sense of the sum ..
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https://doi.org/10.1007/978-3-658-07930-7ons frequently appear in a different way: a certain class of functions is given, and we want to find “simple functions” ., .,... such that each function . in the class has an expansion.for some coefficients .. We note that this idea is similar to what we have seen in the context of power series and
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978-0-8176-3600-5Springer Science+Business Media New York 2005
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Betriebswirtschaftliche StudienSo far, we have mainly been dealing with power series representations, although we already saw the definition of an infinite series of more general functions. Unfortunately, only a relatively limited class of functions has a power series expansion, so often we need to seek other tools to represent functions.
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