
Partial Differential Equations in Action
From Modelling to Theory
Sandro Salsa(Author)
Springer (Publisher)
3rd Edition
Published on 14. September 2017
Book
Paperback/Softback
XVIII, 686 pages
978-3-319-31237-8 (ISBN)
Article exhausted; check for reprint
Description
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.
Reviews / Votes
"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)More details
Product info
Book
Series
Edition
3rd ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
College/higher education
Edition type
Revised edition
Illustrations
XVIII, 686 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
10526 gr
ISBN-13
978-3-319-31237-8 (9783319312378)
DOI
10.1007/978-3-319-31238-5
Schweitzer Classification
Other editions
New editions

Book
12/2022
4th Edition
Springer
€80.24
Shipment within 15-20 days
Additional editions

E-Book
10/2016
3rd Edition
Springer
€90.94
Available for download
Previous edition

Book
03/2015
2nd Edition
Springer
€74.89
Article exhausted; check for reprint
Person
Prof. Sandro Salsa, Dipartimento di Matematica, Politecnico di Milano, Italy.
Content
1 Introduction.- 2 Diffusion.- 3 The Laplace Equation.- 4 Scalar Conservation Laws and First Order Equations.- 5 Waves and vibrations.- 6 Elements of Functional Analysis.- 7 Distributions and Sobolev Spaces.- 8 Variational formulation of elliptic problems.- 9 Further Applications.- 10 Weak Formulation of Evolution Problems.- 11 Systems of Conservation Laws.- 12 A Fourier Series.- 13 B Measures and Integrals.- 14 C Identities and Formulas.