Current Trends in Mathematical Analysis and Its Interdisciplinary Applications
Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Author: Hemen Dutta

Publisher: Springer Nature

Published: 2019-08-23

Total Pages: 912

ISBN-13: 3030152421

DOWNLOAD EBOOK

This book 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. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.

Advanced Mathematical Analysis
Advanced Mathematical Analysis

Author: R. Beals

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 241

ISBN-13: 146849886X

DOWNLOAD EBOOK

Once upon a time students of mathematics and students of science or engineering took the same courses in mathematical analysis beyond calculus. Now it is common to separate" advanced mathematics for science and engi neering" from what might be called "advanced mathematical analysis for mathematicians." It seems to me both useful and timely to attempt a reconciliation. The separation between kinds of courses has unhealthy effects. Mathe matics students reverse the historical development of analysis, learning the unifying abstractions first and the examples later (if ever). Science students learn the examples as taught generations ago, missing modern insights. A choice between encountering Fourier series as a minor instance of the repre sentation theory of Banach algebras, and encountering Fourier series in isolation and developed in an ad hoc manner, is no choice at all. It is easy to recognize these problems, but less easy to counter the legiti mate pressures which have led to a separation. Modern mathematics has broadened our perspectives by abstraction and bold generalization, while developing techniques which can treat classical theories in a definitive way. On the other hand, the applier of mathematics has continued to need a variety of definite tools and has not had the time to acquire the broadest and most definitive grasp-to learn necessary and sufficient conditions when simple sufficient conditions will serve, or to learn the general framework encompass ing different examples.

Advanced Topics in Mathematical Analysis
Advanced Topics in Mathematical Analysis

Author: Michael Ruzhansky

Publisher: CRC Press

Published: 2019-01-08

Total Pages: 588

ISBN-13: 1351142119

DOWNLOAD EBOOK

Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.

Advances in Algebra and Analysis
Advances in Algebra and Analysis

Author: V. Madhu

Publisher: Springer

Published: 2019-01-23

Total Pages: 485

ISBN-13: 3030011208

DOWNLOAD EBOOK

This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.

Recent Advances in Mathematical Analysis
Recent Advances in Mathematical Analysis

Author: Anna Maria Candela

Publisher: Birkhäuser

Published: 2024-05-19

Total Pages: 0

ISBN-13: 9783031200236

DOWNLOAD EBOOK

This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.

Advances in Mathematical Finance
Advances in Mathematical Finance

Author: Michael C. Fu

Publisher: Springer Science & Business Media

Published: 2007-06-22

Total Pages: 345

ISBN-13: 0817645454

DOWNLOAD EBOOK

This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.

Advanced Calculus
Advanced Calculus

Author: Patrick Fitzpatrick

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 610

ISBN-13: 0821847910

DOWNLOAD EBOOK

"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.

New Trends in Applied Analysis and Computational Mathematics
New Trends in Applied Analysis and Computational Mathematics

Author: Susanta Kumar Paikray

Publisher: Springer Nature

Published: 2021-06-28

Total Pages: 322

ISBN-13: 9811614024

DOWNLOAD EBOOK

The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics. The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering.

Topics in Contemporary Mathematical Analysis and Applications
Topics in Contemporary Mathematical Analysis and Applications

Author: Hemen Dutta

Publisher: CRC Press

Published: 2020-12-22

Total Pages: 339

ISBN-13: 1000204219

DOWNLOAD EBOOK

Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details 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 This book is written for individual researchers, educators, students, and department libraries.

Applied Mathematical Analysis: Theory, Methods, and Applications
Applied Mathematical Analysis: Theory, Methods, and Applications

Author: Hemen Dutta

Publisher: Springer

Published: 2019-02-21

Total Pages: 810

ISBN-13: 3319999184

DOWNLOAD EBOOK

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.