Fourier Analysis and Its Applications (Graduate Texts in Mathematics, Vol. 223)

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9780387008363: Fourier Analysis and Its Applications (Graduate Texts in Mathematics, Vol. 223)

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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 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.

About the Author:

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

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Book Description Springer-Verlag New York Inc., United States, 2005. Hardback. Book Condition: New. 1st ed. 2003. Corr. 2nd printing 2005. Language: English . Brand New Book. 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. Bookseller Inventory # SPR9780387008363

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Book Description Springer-Verlag New York Inc., United States, 2005. Hardback. Book Condition: New. 1st ed. 2003. Corr. 2nd printing 2005. Language: English . Brand New Book. 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. Bookseller Inventory # SPR9780387008363

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Book Description Springer-Verlag New York Inc. Hardback. Book Condition: new. BRAND NEW, Fourier Analysis and Its Applications (1st ed. 2003. Corr. 2nd printing 2005), Anders Vretblad, 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. Bookseller Inventory # B9780387008363

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Book Description Springer. Book Condition: New. Offers an account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. Series: Graduate Texts in Mathematics. Num Pages: 272 pages, biography. BIC Classification: PBK; PBT. Category: (G) General (US: Trade); (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 581. . 2005. 1st. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780387008363

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