Universitext

Partial Differential Equations in Action

From Modelling to Theory

Authors: Salsa, Sandro

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eBook $54.99
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  • ISBN 978-88-470-0752-9
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-88-470-0751-2
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  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book is designed as an advanced undergraduate or a first-year graduate

course for students from various disciplines like applied mathematics,

physics, engineering.

The main purpose is on the one hand to train the students to appreciate the

interplay between theory and modelling in problems arising in the applied

sciences; on the other hand to give them a solid theoretical background for

numerical methods, such as finite elements.

Accordingly, this textbook is divided into two parts.

The first one has a rather elementary character with the goal of

developing and studying basic problems from the macro-areas of diffusion,

propagation and transport, waves and vibrations. Ideas and connections with

concrete aspects are emphasized whenever possible, in order to provide

intuition and feeling for the subject.

For this part, a knowledge of advanced calculus and ordinary differential

equations is required. Also, the repeated use of the method of separation of

variables assumes some basic results from the theory of Fourier series,

which are summarized in an appendix.

The main topic of the second part is the

development of Hilbert space methods for the variational formulation and

analysis of linear boundary and initial-boundary value problems\emph{. }%

Given the abstract nature of these chapters, an effort has been made to

provide intuition and motivation for the various concepts and results.

The understanding of these topics requires some basic knowledge of Lebesgue

measure and integration, summarized in another appendix.

At the end of each chapter, a number of exercises at different level of

complexity is included. The most demanding problems are supplied with

answers or hints.

The exposition if flexible enough to allow substantial changes without

compromising the comprehension and to facilitate a selection of topics for a

one or two semester course.

Reviews

From the reviews:

"This book reflects several years of the author’s teaching experience … on partial differential equations taught to students in applied mathematics, physics and engineering. … The book is well-organized and is written in a lucid and rigorous manner. … This highly recommended book is a good resource for a solid course on modern methods and applications of partial differential equations at the advanced undergraduate or introductory graduate level." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1146, 2008)


Table of contents (9 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-88-470-0752-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-88-470-0751-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Partial Differential Equations in Action
Book Subtitle
From Modelling to Theory
Authors
Series Title
Universitext
Copyright
2009
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer-Verlag Milan
eBook ISBN
978-88-470-0752-9
DOI
10.1007/978-88-470-0752-9
Softcover ISBN
978-88-470-0751-2
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XV, 556
Additional Information
Original Italian edition published in the Series: UNITEXT
Topics