Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Progress in Mathematical Physics

Mathematical Theory of Diffraction

Authors: Sommerfeld, Arnold

Free Preview

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-0-8176-8196-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-8176-3604-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA in USD
  • ISBN 978-1-4612-6485-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
About this book

Arnold Sommerfeld's Mathematical Theory of Diffraction marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. The body of Sommerfeld's work is devoted to the systematic development of a method for deriving solutions of the wave equation on Riemann surfaces, a fascinating but perhaps underappreciated topic in mathematical physics.

This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader. A detailed account of the previous diffraction analyses of Kirchhoff and Poincaré provides a context for the striking originality and power of Sommerfeld's ideas.

The availability of this translation is an enriching contribution to the community of mathematical and theoretical physicists.

Reviews

From the reviews:

“This is a very nice book for those interested in the theory of diffraction since it presents, for the first time in English, the strikingly original work of Sommerfeld—which marks a milestone in optical theory—enriched with historical background and technical details. The interest of this book is not only historical but also technical as it presents a surprisingly rich and complex mix of pure and applied mathematics.”(MATHEMATICAL REVIEWS)

"This book offers the first publication in English of Sommerfeld’s original work, together with extensive notes by the translators, and it can be recommended to anyone interested in the theory of diffraction. … The translator’s notes (64 pages) are very illuminating for the reader by providing a lot of historical remarks, technical details, and a nice account of previous diffraction analyses of Kirchhoff and Poincaré." (Johannes Elschner, Zentralblatt MATH, Vol. 1109 (11), 2007)


Table of contents (2 chapters)

Table of contents (2 chapters)

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-0-8176-8196-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-8176-3604-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA in USD
  • ISBN 978-1-4612-6485-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Mathematical Theory of Diffraction
Authors
Translated by
Zampolli, M., Sandri, G., Nagem, R.J.
Series Title
Progress in Mathematical Physics
Series Volume
35
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-8196-8
DOI
10.1007/978-0-8176-8196-8
Hardcover ISBN
978-0-8176-3604-3
Softcover ISBN
978-1-4612-6485-9
Series ISSN
1544-9998
Edition Number
1
Number of Pages
IX, 157
Additional Information
Translated by Raymond J. Nagem, Mario Zampolli, and Guido Sandri
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.