Clifford Analysis and Its Applications

In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research.
Readership: Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.

Summary

In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research.

Readership:
Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.

Product details

• Assisted by: John Stephen roy Chisholm (Editor), John Stephen R. Chisholm (Editor), F. Brackx (Editor), J. S. R. Chisholm (Editor), J.S.R. Chisholm (Editor), V. Soucek (Editor), S R Chisholm (Editor), V Soucek (Editor), J S R Chisholm (Editor)
• Publisher: Springer Netherlands
• Content: Book
• Product form: Paperback / Softback
• Publication date: 01.07.2009
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis
• EAN: 9780792370451
• ISBN: 978-0-7923-7045-1
• Pages: 416
• Illustrations: XII, 416 p.
• Dimensions (packing): 16 x 24 cm
• Weight (packing): 608 g
• Series: NATO Science Series II Mathematics, Physics and Chemistry > Vol.25; Nato Science Series II: > 25; NATO Science Series II: Mathematics, Physics and Chemistry; NATO Science Series II > 25
• Subjects: B, Chemistry and Materials Science, Applications of Mathematics, Numerical analysis, Manifolds (Mathematics), Partial Differential Equations, Complex analysis, complex variables, Abstract Harmonic Analysis, Harmonic analysis, Differential calculus & equations, Differential equations, Engineering mathematics, Applied mathematics, Functions of a Complex Variable, Functions of complex variables, Global analysis (Mathematics), Global Analysis and Analysis on Manifolds