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Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more.
Mathematical analysis is one of the main branches of pure mathematics. But, its recent interdisciplinary applications have placed it into a common domain of both pure and applied mathematics. It is need of the hour to establish a mode of communication between researchers of different areas who frequently use mathematical analysis. Moreover, the crisis of a book having cutting-edge research trends of mathematical analysis can be felt. Thus, we have written this book. It has chapters on the following topics: double and triple sequences, convergence of double and triple sequences, sequence spaces, summability theory, matrix transformations, Hilbert matrix operators, quantum Euler matrix, multivariate Lagrange polynomials, multivariate Lagrange-Hermite polynomials, contraction in metric space, application of fixed point theory, application of measure of non-compactness in fractional integral equations, Bessel’s functions, bi-univalent functions, Ricci solitons, etc.
Features
The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study.
It offers an understanding of research problems by presenting the necessary developments in reasonable details
The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems
Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications.
The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful