Advances in Mathematical Analysis and its Applications

Advancements in Mathematical Analysis and its Applications is a reference text that explores recent developments in the interdisciplinary applications of mathematical analysis (MA). 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. The book is aimed at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general, and researchers will also find it useful.

Format: Hardback
Length: 358 pages
Publication date: 12 December 2022
Publisher: Taylor & Francis Ltd

Mathematical analysis has seen significant advancements in recent years, with its applications expanding across various scientific fields. This book serves as a comprehensive reference text, delving into numerous important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA). It highlights how MA is now being employed in diverse areas of scientific research, making it a valuable resource for scholars and researchers alike.

The book explores various theoretical and problem-solving aspects of real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and numerous interdisciplinary applications. Some chapters are dedicated 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.

One of the key features of this book is its coverage of contemporary topics in mathematical analysis, their applications, and their relevancy in other fields of research and study. It provides readers with a deep understanding of research problems by presenting the necessary developments in a clear and concise manner. Additionally, the book discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, along with various associated problems and their solutions.

To demonstrate the interdisciplinary nature of mathematical analysis, the book includes applications on wavelets analysis and COVID-19. These applications showcase the practical applications of mathematical analysis in real-world scenarios, further highlighting its significance and importance.

The book is primarily aimed at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. It serves as a valuable resource for those seeking to expand their knowledge and understanding of the field. Moreover, researchers interested in interdisciplinary applications of mathematical analysis will also find this book useful.

In conclusion, Advances in Mathematical Analysis and its Applications is a comprehensive and up-to-date text that provides a deep insight into the recent developments and applications of mathematical analysis. It is an essential resource for scholars, researchers, and students interested in the interdisciplinary fields of mathematics and science.

Weight: 857g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032358048