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Synopsis
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.
The third edition contains a few text and formulas revisions and new exercises.
"synopsis" may belong to another edition of this title.
About the Author
Prof. Sandro Salsa, Dipartimento di Matematica, Politecnico di Milano, Italy.
From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Partial Differential Equations in Action : From Modelling to Theory
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Springer International Publishing AG, 2017
ISBN 10: 3319312375
ISBN 13: 9783319312378
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Partial Differential Equations
Published by
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ISBN 10: 3319312375
ISBN 13: 9783319312378
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Partial Differential Equations
Published by
Springer International Publishing AG, 2016
ISBN 10: 3319312375
ISBN 13: 9783319312378
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Partial Differential Equations in Action : From Modelling to Theory.
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ISBN 10: 3319312375
ISBN 13: 9783319312378
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Partial Differential Equations in Action: From Modelling to Theory
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