Description: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 Lebesque 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 multidimensional Fourier analysis, topics that 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 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Fourier Analysis and Its Applications (Graduate Texts in Mathematics, Vol. 223). To get started finding Fourier Analysis and Its Applications (Graduate Texts in Mathematics, Vol. 223), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
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Fourier Analysis and Its Applications (Graduate Texts in Mathematics, Vol. 223)
Description: 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 Lebesque 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 multidimensional Fourier analysis, topics that 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 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Fourier Analysis and Its Applications (Graduate Texts in Mathematics, Vol. 223). To get started finding Fourier Analysis and Its Applications (Graduate Texts in Mathematics, Vol. 223), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.