Sturm-Liouville Theory (Mathematical Surveys and Monographs)

 
9780821852675: Sturm-Liouville Theory (Mathematical Surveys and Monographs)

In 1836 and 1837, Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which began the subject now known as the Sturm-Liouville theory. In 1910, Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, Sturm-Liouville theory has remained an intensely active field of research with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of research on some aspects of this theory. Prerequisites for using the book are a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory. The book has an extensive list of references and examples and numerous open problems. Examples include classical equations and functions associated with Bessel, Fourier, Heun, Ince, Jacobi, Jörgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, and Morse; also included are examples associated with the harmonic oscillator and the hydrogen atom. Many special functions of applied mathematics and mathematical physics occur in these examples. This book offers a well-organized viewpoint on some basic features of Sturm-Liouville theory. With many useful examples treated in detail, it will make a fine independent study text and is suitable for graduate students and researchers interested in differential equations.

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1.

Anton Zettl
Editorial: American Mathematical Society, United States (2005)
ISBN 10: 0821852671 ISBN 13: 9780821852675
Nuevos Paperback Cantidad: 1
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The Book Depository
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 2005. Paperback. Estado de conservación: New. Language: N/A. Brand New Book. In 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. In 1910 Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of knowledge about some aspects of this theory. To use the book, only a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory are assumed. An extensive list of references and examples is provided and numerous open problems are given. The list of examples includes those classical equations and functions associated with the names of Bessel, Fourier, Heun, Ince, Jacobi, Jorgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, Morse, as well as examples associated with the harmonic oscillator and the hydrogen atom.Many special functions of applied mathematics and mathematical physics occur in these examples. Nº de ref. de la librería AAN9780821852675

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Anton Zettl
Editorial: American Mathematical Society (2005)
ISBN 10: 0821852671 ISBN 13: 9780821852675
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Descripción American Mathematical Society, 2005. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821852675

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Anton Zettl
Editorial: American Mathematical Society, United States (2005)
ISBN 10: 0821852671 ISBN 13: 9780821852675
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The Book Depository US
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Descripción American Mathematical Society, United States, 2005. Paperback. Estado de conservación: New. Language: N/A. Brand New Book. In 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. In 1910 Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of knowledge about some aspects of this theory. To use the book, only a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory are assumed. An extensive list of references and examples is provided and numerous open problems are given. The list of examples includes those classical equations and functions associated with the names of Bessel, Fourier, Heun, Ince, Jacobi, Jorgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, Morse, as well as examples associated with the harmonic oscillator and the hydrogen atom.Many special functions of applied mathematics and mathematical physics occur in these examples. Nº de ref. de la librería AAN9780821852675

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Anton Zettl
Editorial: American Mathematical Society
ISBN 10: 0821852671 ISBN 13: 9780821852675
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Descripción American Mathematical Society. Paperback. Estado de conservación: new. BRAND NEW, Sturm-Liouville Theory, Anton Zettl, In 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. In 1910 Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of knowledge about some aspects of this theory. To use the book, only a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory are assumed. An extensive list of references and examples is provided and numerous open problems are given. The list of examples includes those classical equations and functions associated with the names of Bessel, Fourier, Heun, Ince, Jacobi, Jorgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, Morse, as well as examples associated with the harmonic oscillator and the hydrogen atom. Many special functions of applied mathematics and mathematical physics occur in these examples. Nº de ref. de la librería B9780821852675

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Anton Zettl
Editorial: American Mathematical Society (2010)
ISBN 10: 0821852671 ISBN 13: 9780821852675
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Descripción American Mathematical Society, 2010. Paperback. Estado de conservación: New. Brand new. We distribute directly for the publisher. Clean, unmarked pages. Fine binding and cover. Ships daily. Nº de ref. de la librería 1401030005

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Anton Zettl
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Descripción American Mathematical Society, 2010. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0821852671

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Descripción American Mathematical Society, 2012. Paperback. Estado de conservación: Brand New. 328 pages. 9.90x6.90x0.70 inches. In Stock. Nº de ref. de la librería __0821852671

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Descripción American Mathematical Society, 2010. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0821852671

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