Advances in Real and Complex Analysis with Applications

Released on by Michael Ruzhansky
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  • Advances in Real and Complex Analysis with Applications Book Detail

  • Author : Michael Ruzhansky
  • Release Date : 2017-10-03
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 304
  • ISBN 13 : 981104337X
  • File Size : 17,17 MB
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Advances in Real and Complex Analysis with Applications by Michael Ruzhansky PDF Summary

Book Description: This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

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Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the

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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier trans