Overview
- Addresses the interplay between theory and modeling in problems arising in the applied sciences
- Focuses on ideas and connections to concrete applications, in order to promote readers’ intuition and feel for the subject
- Offers a variety of examples from different perspectives in applied sciences
- Includes supplementary material: sn.pub/extras
Part of the book series: UNITEXT (UNITEXT, volume 86)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (21 chapters)
Keywords
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Reviews
“This book, presented at the advanced undergraduate or first year graduate level, presents a very interesting mix of physical applications and abstract theory supporting rigorous existence and regularity results for PDEs. … Rigorous approaches, including Sobolev spaces, dual spaces, distribution theory, and weak solutions, are introduced in a transparent, well-motivated fashion, achieving a level that allows one to make contact with the professional literature.” (Peter Bernard Weichman, Mathematical Reviews, May, 2016)
“In this advanced textbook, Salsa (Politecnico di Milano, Italy) provides a well-written book blending abstract theory with examples. … The author explains theory and models clearly, using techniques such as well-thought-out examples, theorems and proofs, and reader-posed questions with answers and exercises at the end of each chapter. … Summing Up: Recommended. Graduate students and researchers/faculty.” (S. L. Sullivan, Choice, Vol. 53 (4), December, 2015)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Partial Differential Equations in Action
Book Subtitle: From Modelling to Theory
Authors: Sandro Salsa
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-3-319-15093-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
eBook ISBN: 978-3-319-15093-2Published: 24 April 2015
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 2
Number of Pages: XVIII, 701
Topics: Mathematical Modeling and Industrial Mathematics, Partial Differential Equations, Mathematical Applications in the Physical Sciences, Mathematical and Computational Engineering