Advances In Mathematical Analysis And Its Applications

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Advances in Mathematical Analysis and its Applications

Bipan Hazarika,Santanu Acharjee,H M Srivastava
Advances in Mathematical Analysis and its Applications Book PDF

Author : Bipan Hazarika,Santanu Acharjee,H M Srivastava
Publisher : CRC Press
Page : 358 pages
File Size : 46,6 Mb
Release : 2022-12-12
Category : Mathematics
ISBN : 9781000824391

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Advances in Mathematical Analysis and its Applications by Bipan Hazarika,Santanu Acharjee,H M Srivastava Pdf

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.

Advanced Mathematical Analysis and its Applications

Pradip Debnath,Delfim F. M. Torres,Yeol Je Cho
Advanced Mathematical Analysis and its Applications Book PDF

Author : Pradip Debnath,Delfim F. M. Torres,Yeol Je Cho
Publisher : CRC Press
Page : 493 pages
File Size : 43,9 Mb
Release : 2023-10-17
Category : Mathematics
ISBN : 9781000967265

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Advanced Mathematical Analysis and its Applications by Pradip Debnath,Delfim F. M. Torres,Yeol Je Cho Pdf

Advanced Mathematical Analysis and its Applications presents state-of-the-art developments in mathematical analysis through new and original contributions and surveys, with a particular emphasis on applications in engineering and mathematical sciences. New research directions are indicated in each of the chapters, and while this book is meant primarily for graduate students, there is content that will be equally useful and stimulating for faculty and researchers. The readers of this book will require minimum knowledge of real, complex, and functional analysis, and topology. Features Suitable as a reference for graduate students, researchers, and faculty Contains the most up-to-date developments at the time of writing.

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Hemen Dutta,Ljubiša D. R. Kočinac,Hari M. Srivastava
Current Trends in Mathematical Analysis and Its Interdisciplinary Applications Book PDF

Author : Hemen Dutta,Ljubiša D. R. Kočinac,Hari M. Srivastava
Publisher : Springer Nature
Page : 912 pages
File Size : 54,5 Mb
Release : 2019-08-23
Category : Mathematics
ISBN : 9783030152420

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Current Trends in Mathematical Analysis and Its Interdisciplinary Applications by Hemen Dutta,Ljubiša D. R. Kočinac,Hari M. Srivastava Pdf

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.

Applied Mathematical Analysis: Theory, Methods, and Applications

Hemen Dutta,James F. Peters
Applied Mathematical Analysis Theory Methods and Applications Book PDF

Author : Hemen Dutta,James F. Peters
Publisher : Springer
Page : 810 pages
File Size : 51,6 Mb
Release : 2019-02-21
Category : Technology & Engineering
ISBN : 9783319999180

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Applied Mathematical Analysis: Theory, Methods, and Applications by Hemen Dutta,James F. Peters Pdf

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.

Topics in Mathematical Analysis and Applications

Themistocles M. Rassias,László Tóth
Topics in Mathematical Analysis and Applications Book PDF

Author : Themistocles M. Rassias,László Tóth
Publisher : Springer
Page : 814 pages
File Size : 53,5 Mb
Release : 2014-10-13
Category : Mathematics
ISBN : 9783319065540

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Topics in Mathematical Analysis and Applications by Themistocles M. Rassias,László Tóth Pdf

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Advances in Mathematical Finance

Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott
Advances in Mathematical Finance Book PDF

Author : Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 50,5 Mb
Release : 2007-06-22
Category : Business & Economics
ISBN : 9780817645458

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Advances in Mathematical Finance by Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott Pdf

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.

Applied Mathematical Analysis: Theory, Methods, and Applications

Hemen Dutta,James F. Peters
Applied Mathematical Analysis Theory Methods and Applications Book PDF

Author : Hemen Dutta,James F. Peters
Publisher : Springer
Page : 810 pages
File Size : 45,8 Mb
Release : 2019-02-21
Category : Technology & Engineering
ISBN : 9783319999180

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Applied Mathematical Analysis: Theory, Methods, and Applications by Hemen Dutta,James F. Peters Pdf

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.

Advanced Mathematical Analysis

R. Beals
Advanced Mathematical Analysis Book PDF

Author : R. Beals
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 55,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781468498868

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Advanced Mathematical Analysis by R. Beals Pdf

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

Michael Ruzhansky,Hemen Dutta
Advanced Topics in Mathematical Analysis Book PDF

Author : Michael Ruzhansky,Hemen Dutta
Publisher : CRC Press
Page : 588 pages
File Size : 52,8 Mb
Release : 2019-01-08
Category : Mathematics
ISBN : 9781351142113

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Advanced Topics in Mathematical Analysis by Michael Ruzhansky,Hemen Dutta Pdf

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

V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa
Advances in Algebra and Analysis Book PDF

Author : V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa
Publisher : Springer
Page : 485 pages
File Size : 53,5 Mb
Release : 2019-01-23
Category : Mathematics
ISBN : 9783030011208

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Advances in Algebra and Analysis by V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa Pdf

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.

Advances in Applied Mathematical Analysis and Applications

Mangey Ram,Tadashi Dohi
Advances in Applied Mathematical Analysis and Applications Book PDF

Author : Mangey Ram,Tadashi Dohi
Publisher : CRC Press
Page : 311 pages
File Size : 43,6 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 9781000793963

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Advances in Applied Mathematical Analysis and Applications by Mangey Ram,Tadashi Dohi Pdf

In recent years, applied mathematics has been used in all novel disciplines of scientific development. Advances in Applied Mathematical Problems summarizes interdisciplinary work within the field of applied mathematics. The topics discussed in the book include:• Similarity Solutions of Spherical Shock Waves in a Self-Gravitating Ideal Gas• Dual Solutions for Finite Element Analysis of Unsteady Hydromagnetic Stagnation Point Flow of Water Nanofluid Generated by Stretching Sheet• Multiparametric modeling of carbon cycle in temperate wetlands for regional climate change analysis using satellite data• An Intelligent Neuro Fuzzy System for Pattern Classification• Fuzzy inventory model with demand, deterioration and inflation: a comparative study through NGTFN and CNTFN• Summability and its application for the stability of the system• Design Of Manufacturing, Control, And Automation Systems• SEIR - Application for Crop through Water and Soil Texture• Advances in radial basis functions• Modeling For Time Period Of Natural Frequency For Non-Homogeneous Square Plate With Variable Thickness And Temperature Effect• A Study On Metric Fixed Point Theorems Satisfying Integral Type Contractions • Objective Function – In Radiometric Studies –Application to Agrs Surveys Associated With Radon• Modelling Kernel Function in Black body Radiation Inversion

Elements of Advanced Mathematical Analysis for Physics and Engineering

Filippo Gazzola,Maurizio Zanotti,Alberto Ferrero
Elements of Advanced Mathematical Analysis for Physics and Engineering Book PDF

Author : Filippo Gazzola,Maurizio Zanotti,Alberto Ferrero
Publisher : Società Editrice Esculapio
Page : 329 pages
File Size : 45,6 Mb
Release : 2013-09-23
Category : Mathematics
ISBN : 9788874886456

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Elements of Advanced Mathematical Analysis for Physics and Engineering by Filippo Gazzola,Maurizio Zanotti,Alberto Ferrero Pdf

Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential equations is essential. This book aims to deal with the main topics that are necessary to achieve such a knowledge. Still, this is the goal of many other texts in advanced analysis; and then, what would be a good reason to read or to consult this book? In order to answer this question, let us introduce the three Authors. Alberto Ferrero got his degree in Mathematics in 2000 and presently he is researcher in Mathematical Analysis at the Universit`a del Piemonte Orientale. Filippo Gazzola got his degree in Mathematics in 1987 and he is now full professor in Mathematical Analysis at the Politecnico di Milano. Maurizio Zanotti got his degree in Mechanical Engineering in 2004 and presently he is structural and machine designer and lecturer professor in Mathematical Analysis at the Politecnico di Milano. The three Authors, for the variety of their skills, decided to join their expertises to write this book. One of the reasons that should encourage its reading is that the presentation turns out to be a reasonable compromise among the essential mathematical rigor, the importance of the applications and the clearness, which is necessary to make the reference work pleasant to the readers, even to the inexperienced ones. The range of treated topics is quite wide and covers the main basic notions of the scientific research which is based upon mathematical models. We start from vector spaces and Lebesgue integral to reach the frontier of theoretical research such as the study of critical exponents for semilinear elliptic equations and recent problems in fluid dynamics. This long route passes through the theory of Banach and Hilbert spaces, Sobolev spaces, differential equations, Fourier and Laplace transforms, before which we recall some appropriate tools of Complex Analysis. We give all the proofs that have some didactic or applicative interest, while we omit the ones which are too technical or require too high level knowledge. This book has the ambitious purpose to be useful to a broad variety of readers. The first possible beneficiaries are of course the second or third year students of a scientific course of degree: in what follows they will find the topics that are necessary to approach more advanced studies in Mathematics and in other fields, especially Physics and Engineering. This text could be also useful to graduate students who want to start a Ph.D. course: indeed it contains the matter of a multidisciplinary Ph.D. course given by Filippo Gazzola for several years at Politecnico di Milano. Finally, this book could be addressed also to the ones who have already left education far-back but occasionally need to use mathematical tools: we refer both to university professors and their research, and to professionals and designers who want to model a certain phenomenon, but also to the nostalgics of the good old days when they were students. It is precisely for this last type of reader that we have also reported some elementary topics, such as the properties of numerical sets and of the integrals; moreover, every chapter is provided with examples and specific exercises aimed at the involvement of the reader. Let us start immediately inviting the reader to find an “anomaly” among the six formulas appearing in the cover. This book is the translation from Italian of the book ”Elementi di Analisi Superiore per la Fisica e l’Ingegneria”. The translation is due to Ilaria Lucardesi.

Topics in Contemporary Mathematical Analysis and Applications

Hemen Dutta
Topics in Contemporary Mathematical Analysis and Applications Book PDF

Author : Hemen Dutta
Publisher : CRC Press
Page : 339 pages
File Size : 42,8 Mb
Release : 2020-12-22
Category : Mathematics
ISBN : 9781000204216

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Topics in Contemporary Mathematical Analysis and Applications by Hemen Dutta Pdf

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.

Mathematical Analysis and Applications

Michael Ruzhansky,Hemen Dutta,Ravi P. Agarwal
Mathematical Analysis and Applications Book PDF

Author : Michael Ruzhansky,Hemen Dutta,Ravi P. Agarwal
Publisher : John Wiley & Sons
Page : 1050 pages
File Size : 46,7 Mb
Release : 2018-04-11
Category : Mathematics
ISBN : 9781119414339

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Mathematical Analysis and Applications by Michael Ruzhansky,Hemen Dutta,Ravi P. Agarwal Pdf

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 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.

Mathematical Analysis

Mariano Giaquinta,Giuseppe Modica
Mathematical Analysis Book PDF

Author : Mariano Giaquinta,Giuseppe Modica
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 40,6 Mb
Release : 2011-11-04
Category : Mathematics
ISBN : 9780817683108

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Mathematical Analysis by Mariano Giaquinta,Giuseppe Modica Pdf

Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics. The authors conclude with the study of measure and integration theory – Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. This work may be used as a supplementary text in the classroom or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengths of this presentation, along with the other four books on analysis published by the authors, is the motivation for understanding the subject through examples, observations, exercises, and illustrations.