It takes the average reader 6 hours and 30 minutes to read Application of Holomorphic Functions in Two and Higher Dimensions by Klaus Gürlebeck
Assuming a reading speed of 250 words per minute. Learn more
This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as well as Taylor and Laurent series. Several necessary function spaces are introduced, and an operator calculus based on modifications of the Dirac, Cauchy-Fueter, and Teodorescu operators and different decompositions of quaternion Hilbert spaces are proved. Finally, hypercomplex Fourier transforms are studied in detail. All this is then applied to first-order partial differential equations such as the Maxwell equations, the Carleman-Bers-Vekua system, the Schrödinger equation, and the Beltrami equation. The higher-order equations start with Riccati-type equations. Further topics include spatial fluid flow problems, image and multi-channel processing, image diffusion, linear scale invariant filtering, and others. One of the highlights is the derivation of the three-dimensional Kolosov-Mushkelishvili formulas in linear elasticity. Throughout the book the authors endeavor to present historical references and important personalities. The book is intended for a wide audience in the mathematical and engineering sciences and is accessible to readers with a basic grasp of real, complex, and functional analysis.
Application of Holomorphic Functions in Two and Higher Dimensions by Klaus Gürlebeck is 390 pages long, and a total of 97,500 words.
This makes it 132% the length of the average book. It also has 119% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 52 minutes to read Application of Holomorphic Functions in Two and Higher Dimensions aloud.
Application of Holomorphic Functions in Two and Higher Dimensions is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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