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Fourier Analysis and Its Applications: 223 (Graduate Texts in Mathematics, 223) - Tapa dura

Vretblad, Anders

 
9780387008363: Fourier Analysis and Its Applications: 223 (Graduate Texts in Mathematics, 223)
Tapa dura
ISBN 10: 0387008365 ISBN 13: 9780387008363
Editorial: Springer, 2005

Sinopsis

A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge.

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Acerca del autor

 Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden.

De la contraportada

This book presents the basic ideas in Fourier analysis and its applications to the study of partial differential equations. It also covers the Laplace and Zeta transformations and the fundaments of their applications. The author has intended to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral or with analytic functions of a complex variable. At the same time, he has included discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually will not find in books at this level.

Many of the chapters end with a summary of their contents, as well as a short historical note. The text contains a great number of examples, as well as more than 350 exercises. In addition, one of the appendices is a collection of the formulas needed to solve problems in the field.

Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden.

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Editorial
Springer
Año de publicación
2005
Idioma
Inglés
ISBN 10 
0387008365
ISBN 13 
9780387008363
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
288
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