Spectral and Scattering Theory for Ordinary Differential Equations is popular PDF and ePub book, written by Christer Bennewitz in 2020-10-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Spectral and Scattering Theory for Ordinary Differential Equations can be Read Online from any device for your convenience.
Spectral and Scattering Theory for Ordinary Differential Equations Book PDF Summary
This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.
Detail Book of Spectral and Scattering Theory for Ordinary Differential Equations PDF
- Author : Christer Bennewitz
- Release : 27 October 2020
- Publisher : Springer Nature
- ISBN : 9783030590888
- Genre : Mathematics
- Total Page : 379 pages
- Language : English
- PDF File Size : 15,6 Mb
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