Partial Differential Equations in Action : From Modelling to Theory Paperback / softback
by Sandro Salsa, Gianmaria Verzini
Part of the La Matematica per il 3+2 series
Paperback / softback
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Description
This work is an updated version of a book 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 for 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 the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4.
The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several new exercises in almost all chapters; a general restyling and a reordering of the last chapters.
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.
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Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:677 pages, 1 Illustrations, black and white; XVIII, 677 p. 1 illus.
- Publisher:Springer International Publishing AG
- Publication Date:09/12/2022
- Category:
- ISBN:9783031218521
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- PDF from £20.39
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:677 pages, 1 Illustrations, black and white; XVIII, 677 p. 1 illus.
- Publisher:Springer International Publishing AG
- Publication Date:09/12/2022
- Category:
- ISBN:9783031218521