Partial Differential Equations in Action / UNITEXT Bd.99 (PDF)
From Modelling to Theory
(Sprache: Englisch)
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over...
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The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.
Autoren-Porträt von Sandro Salsa
Prof. Sandro Salsa, Dipartimento di Matematica, Politecnico di Milano, Italy.
Bibliographische Angaben
- Autor: Sandro Salsa
- 2016, 3rd ed. 2016, 686 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319312383
- ISBN-13: 9783319312385
- Erscheinungsdatum: 04.10.2016
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- Grösse: 8.60 MB
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Pressezitat
“Attractive feature of the book is its richness in exercises of various levels of difficulty. At the end of each chapter, an extensive list of problems is provided. … The text is equipped with all necessary ingredients to be used as a textbook, and will be appreciated by anyone wishing for a very complete first course in partial differential equations from modeling to theory.” (Dhruba Adhikari, MAA Reviews, maa.org, February, 2017)Kommentar zu "Partial Differential Equations in Action / UNITEXT Bd.99"
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