Clifford Algebras and Their Applications in Mathematical Physics, Vol. 2: Clifford Analysis (Hardcover)

by John Ryan (Editor), Wolfgang Sproessig (Editor) "With the help of functional analytic methods, complex analysis is a powerful tool in treating linear and nonlinear first-order partial differential equations in the plane..." (more)
Key Phrases: abstract vector variables, radial algebra, hypermonogenic functions, New York, Subject Classification, John Wiley (more...)

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Product Description
A broad overview of cutting edge topics in mathematical physics and the physical applications of Clifford algebras. An up-to-date survey of most aspects of modern-day Clifford analysis. Topics include complex-distance potential theory and Fourier theory under Mobius transformations. Volume two of a two-volume set. DLC: Clifford algebras.

Product Details

• Hardcover: 344 pages
• Publisher: Birkhäuser Boston; 1 edition (June 22, 2000)
• Language: English
• ISBN-10: 0817641831
• ISBN-13: 978-0817641832
• Product Dimensions: 9.5 x 6.4 x 0.8 inches
• Shipping Weight: 1.6 pounds (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)
• Amazon.com Sales Rank: #2,515,732 in Books (See Bestsellers in Books)

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13 of 13 people found the following review helpful:

4.0 out of 5 stars The new face of Clifford Analysis, June 22, 2001

By	math climber - See all my reviews

In this second volume of the Proceedings of the Ixtapa Conference on Clifford Algebras and Their Applications to Mathematical Physics, the editors have collected papers which reflect the latest developments in Clifford Analysis. It is fair to say that the authors of the contributions are virtually all the important names in the field, and the picture that the volume presents of Clifford Analysis indicates the vitality of the topic. Maybe the most important thing in this volume (what I called the "new face" of Clifford Analysis) is the clear sense that Clifford Analysis is now used as a powerful tool to solve classical problems which the standards tools from the analysis in Euclidean spaces could not solve. This evolution from a discipline concerned with its own (quite interesting) internal problems, to a discipline capable of addressing outstanding issues in geometry and analysis is the product of the work of many of the contributors to these Proceedings. The volume is divided in four sections. The first deals with partial differential equations and boundary value problems. I particularly appreciated the survey work on the study of Beltrami type equations in three dimensions. The second section deals with Singular Integral Operators, the third offers some important Applications to Geometry and Physics, and the volume concludes with a section on Mobius Transformations and Monogenic Functions. I have found the papers of great interest because they not only address important and difficult problems, but also provide the reader with a wide variety of new issues to deal with. The majority of the papers is rather technical, and probably only accessible to the specialist, but a few of them (including the one on Beltrami equations I mentioned before) provide a sense of the state of the art, which is of great help to the analyst or the geometer who wishes to enter this beautiful branch of mathematics.