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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis A Primer for a Secret Shortcut to PDEs of Mathematical Physics
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A Primer for a Secret Shortcut to PDEs of Mathematical Physics
Sascha Trostorff (Taschenbuch, Englisch)
Optischer Zustand
Beschreibung
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. 58,84 €
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Technische Daten
Erscheinungsdatum
25.08.2020
Sprache
Englisch
EAN
9783030473327
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Frontiers in Mathematics
Sonderedition
Nein
Autor
Sascha Trostorff
Seitenanzahl
183
Auflage
1st edition 2020
Einbandart
Taschenbuch
Schlagwörter
evolutionary equations, time-dependent partial differential equations, well-posedness, causality, linear phenomena in mathematical physics, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
Höhe
240 mm
Breite
16.8 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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