La Matematica per il 3+2

A Primer on PDEs

Models, Methods, Simulations

Authors: Salsa, S., Vegni, F., Zaretti, A., Zunino, P.

  • This minimal knowledge on numerical approximation schemes represents an useful tool for training on model applications
  • Numerical simulations help to put into action and visualize the theoretical properties of the models that will be analysed
  • Each chapter ends with a brief introduction to numerical approximation techniques for the specific problem at hand
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eBook $54.99
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  • ISBN 978-88-470-2862-3
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  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-88-470-2861-6
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  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
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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. It has evolved while teaching courses on partial differential equations during the last decade at the Politecnico of Milan. The main purpose of these courses was twofold: on the one hand, to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements.

Reviews

From the book reviews:

“This book, presented at the advanced undergraduate or first year graduate level, takes a very interesting mixed approach to partial differential equations, shining a modern light on a classic subject. In addition to the usual analytic solution methods, the presentation includes both numerical approaches and mathematical techniques for proving rigorous existence and regularity results. … Each chapter concludes with an informative set of exercises, and solutions to many of them are provided at the end of the book.” (Peter Bernard Weichman, Mathematical Reviews, May, 2014)

“The present text is suitable for a two semester introduction to partial differential equations. … The text is well-written and can be particularly recommended for students who are interested in the interplay between modeling, theory, and numerics.” (G. Teschl, Monatshefte für Mathematik, 2013)

“Part I (Chapters 2–6) of this book … is entitled Differential models. … Part II (Chapters 7–9) is entitled Functional analysis techniques for differential problems and it is devoted to Hilbert space methods for the variational formulation and the analysis of linear boundary and initial-boundary value problems. … at the end of each chapter the authors include a brief account of numerical methods, with a discussion of some particular case study. … recommend this book to students in engineering, applied mathematics and physics.” (Vicenţiu D. Rădulescu, zbMATH, Vol. 1270, 2013)

Table of contents (10 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-88-470-2862-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-88-470-2861-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A Primer on PDEs
Book Subtitle
Models, Methods, Simulations
Authors
Series Title
La Matematica per il 3+2
Copyright
2013
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer-Verlag Milan
eBook ISBN
978-88-470-2862-3
DOI
10.1007/978-88-470-2862-3
Softcover ISBN
978-88-470-2861-6
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XIV, 489
Topics