Extended! eBooks from the 'Springer Archives' only $8.99 each–save now!

Mathematical Engineering

Partial Differential Equations

Mathematical Techniques for Engineers

Authors: Epstein, Marcelo

Free Preview
  • Presents a genuinely rigorous treatment of PDE, yet comprehensible for the typical engineering student
  • Emphasizes geometric and intuitive interpretations
  • Contains examples from engineering context as well as exercises
see more benefits

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-3-319-55212-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-55211-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-85597-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers. The book begins with a review of the geometrical interpretation of systems of ODEs, the appearance of PDEs in engineering is motivated by the general form of balance laws in continuum physics. Four chapters are devoted to a detailed treatment of the single first-order PDE, including shock waves and genuinely non-linear models, with applications to traffic design and gas dynamics. The rest of the book deals with second-order equations. In the treatment of hyperbolic equations, geometric arguments are used whenever possible and the analogy with discrete vibrating systems is emphasized. The diffusion and potential equations afford the opportunity of dealing with questions of uniqueness and continuous dependence on the data, the Fourier integral, generalized functions (distributions), Duhamel's principle, Green's functions and Dirichlet and Neumann problems. The target audience primarily comprises graduate students in engineering, but the book may also be beneficial for lecturers, and research experts both in academia in industry.

Reviews

“The book would be accessible to strong undergraduates with some multivariable calculus, basic linear algebra and ordinary differential equations. The author provides references at each stage to several of the standard texts, including those of Garabedian and John. This would be a good textbook for an introduction to PDEs or as a supplement to a more standard mathematical treatment.” (William J. Satzer, MAA Reviews, maa.org, July, 2017)


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-3-319-55212-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-55211-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-85597-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Partial Differential Equations
Book Subtitle
Mathematical Techniques for Engineers
Authors
Series Title
Mathematical Engineering
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-55212-5
DOI
10.1007/978-3-319-55212-5
Hardcover ISBN
978-3-319-55211-8
Softcover ISBN
978-3-319-85597-4
Series ISSN
2192-4732
Edition Number
1
Number of Pages
XIII, 255
Number of Illustrations
57 b/w illustrations, 9 illustrations in colour
Topics