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Mathematical Analysis and Applications: Selected Topics

ISBN: 978-1-119-41434-6
848 pages
April 2018
Mathematical Analysis and Applications: Selected Topics (1119414342) cover image


An authoritative text that presents the current problems, theories, and applications of mathematical analysis research

Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field—highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research.

This important text:

•    Presents a wide-range of important topics having current research importance and interdisciplinary applications such as in game theory, image processing, creation of materials with a desired refraction coefficient, etc.

•    Contains chapters written by a group of esteemed researchers in mathematical analysis

•    Includes problems and research questions in order to enhance understanding of the information provided

•    Offers references that help readers advance to further study

Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.

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Author Information

Michael Ruzhansky, Ph.D., is Professor in the Department of Mathematics at Imperial College London, UK. Dr. Ruzhansky was awarded the Ferran Sunyer I Balaguer Prize in 2014.

Hemen Dutta, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India.

Ravi P. Agarwal, Ph.D., is Professor and Chair of the Department of Mathematics at Texas A&M University-Kingsville, Kingsville USA.

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