Advances in Mathematical Analysis and Its Applications

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.

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.

Bipan Hazarika is a Professor of Department of Mathematics, Gauhati University, Guwahati, Assam. Earlier, he worked at Rajiv Gandhi Univer- sity, Arunachal Pradesh, India from 2005 to 2017. He was Professor at Rajiv Gandhi University up to 2017. He received an M.Sc. and Ph.D. from Gauhati University, Guwahati, India. His main research areas are sequences spaces, summability theory, applications of fixed point theory, fuzzy analysis, and non-absolute integrable function spaces. He published more than 160 research articles in several renowned international journals. He is a regular reviewer of more than 50 different journals published by Springer, Elsevier, Taylor and Francis, Wiley, IOS Press, World Scientific, American Mathematical Society, IEEE, De Gruyter, etc. He published books on Differential Equations, Differential Calculus and Integral Calculus. Recently he edited following books: "Sequence Spaces Theory and Applications, Chapman and Hall/CRC" and "Fixed Point Theory and Fractional Calculus: Recent Advances and Applications, Springer". He is an editorial board member of more than 6 international journals and guest editor of a special issue named "Sequence spaces, Function spaces and Approximation Theory" of Journal of Function Spaces.

Santanu Acharjee is an Assistant Professor of Department of Mathematics, Gauhati University, Guwahati, Assam, India. He pursued an M.Sc. and Ph.D. in Mathematics from Gauhati University in 2011 and 2016 respectively. His areas of specialization are topology, soft computing, artificial intelligence, mathematical social science, mathematical economics, social networks, human trafficking and anti-terrorism research, etc. He has published more than twenty five research articles and one book chapter. He has been collaborating with several eminent researchers of various well-known institutes viz. University of Oxford, Creighton University, University of Auckland, Kuwait University, University of California-Riverside, Russian Academy of Science, etc. He is a member of American Mathematical Society (USA), Life member of Indian Science Congress Association (India) and a member of International Association of Engineers (Hong Kong). He is a reviewer of more than 38 different journals, some of them are: Psychological Methods, Journal of Theoretical and Philosophical Psychology, Chaos, Solitons and Fractals, Information Sciences, International Journal of Fuzzy System, Soft Computing, Journal of Mathematics and Computer Science, Journal of Logic, Language and Infor- mation, Filomat, Archive for Mathematical Logic, The B.E. Journal of Theoretical Economics, Theoretical Computer Sciences, Journal of Mathematical Psychology, ACM Transactions on Computational Logic, Topology and its applications, Fuzzy Sets and Systems, Journal of Artificial Intelligence Research, International Journal of Economic Theory, Philosophical Studies, Theory and Decision, Mathematics in computer science, Algebra; logic and number theory, Social choice and welfare, Mathematical Social Sciences, Journal of Advanced Studies in Topology, Fuzzy Optimization and Decision making, International Journal of Intelligent Systems, etc.

Moreover, he is a regular reviewer for Mathematical Reviews (AMS), Zb- MATH Open (Germany) and several journals of American Psychological Association. He is an editorial board member of several journals. He has delivered seven invited talks in international conferences. Moreover, he was invited as Visiting Researcher by The Fields Institute for Research in Mathematical Sciences, Canada. NBHM (Govt. of India) granted travel grant for his visit to Canada. He jointly introduced a new area of mathematical research named "Bitopological dynamical system" in the year 2020.

H. M. Srivastava is a Professor Emeritus of Department of Mathematics and Statistics, University of Victoria, Canada. He joined the University of Victoria in 1969 as Associate Professor (1969–1974) and then became Full Professor (1974–2006). Professor Srivastava has held numerous visiting positions including those at West Virginia University in the U.S.A (1967–1969), Universite Laval in Canada (1975), and the University of Glasgow in the U.K. (1975–1976) and indeed also at many other universities and research insti- tutes in different parts of the world. Professor Srivastava has published 21 books (monographs and edited volumes), 30 book chapters, 45 papers in international conference proceedings, and over 1,000 scientific research journal articles on various topics of mathematical analysis and applied mathematics. Currently, he is actively associated (as editor, honorary editor, senior editor, associate editor, or editorial board member) with over 200 international scientific research journals. His biographical sketches have appeared in various issues of more than 50 international biographies, directories, etc. Professor Srivastava was considered as highly-cited researcher for the years 2015, 2017, 2018 and 2020 by Clarivate Analytics (Web of Science). He has also been listed and ranked in the twelfth place in General Mathematics among the top two percent.