Linear Integral Equations. 3rd ed. 2014

種類:

電子ブック

責任表示:

by Rainer Kress

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2014

著者名:

• Kress, Rainer
• SpringerLink (Online service)

シリーズ名:

Applied Mathematical Sciences ; 82

ISBN:

9781461495932 [1461495938]    

注記:

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text.The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the con

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