A Primer for a Secret Shortcut to PDEs of Mathematical Physics

Language: English

Published by Palgrave Macmillan, Birkhäuser Aug 2020, 2020

3030473325 / 9783030473327

Series: Book 46 of 48 - Frontiers in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -¿This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach.The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master's level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 196 pp. Englisch.

Seller Inventory # 9783030473327

Title
A Primer for a Secret Shortcut to PDEs of Mathematical Physics
Author
Des Mcghee
Publisher
Palgrave Macmillan, Birkhäuser Aug 2020
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3030473325
ISBN 13
9783030473327
Item weight
339 grams
Dimensions
240x168x11 mm
Series
Book 46 of 48: Frontiers in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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