株式会社極東書店トップ ＞ 商品一覧 ＞ Spectral and Scattering Theory for Ordinary Differential Equations : Vol. I: Sturm-Liouville Equations. 1st ed. 2020.
商品詳細
Spectral and Scattering Theory for Ordinary Differential Equations : Vol. I: Sturm-Liouville Equations. 1st ed. 2020.
・ISBN 978-3-030-59087-1 paper EUR 64.99
￥17,371.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Bennewitz, Christer / Brown, Malcolm / Weikard, Rudi, |
|---|---|
| シリーズ | Universitext |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2020 |
| ページ数 | 379 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2919＞ |
解説
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 advancedundergraduate 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.