Advanced Topics In Mathematical Analysis And Applications

Author : Matt Ferrier
Publisher : NY Research Press
Page : 0 pages
File Size : 48,9 Mb
Release : 2023-09-26
Category : Mathematics
ISBN : 1647254426

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Advanced Topics in Mathematical Analysis and Applications by Matt Ferrier Pdf

Mathematical analysis is a mathematical discipline that deals with continuous functions, limits, and related theories such as differentiation, integration, infinite sequences, series and analytic functions. The field of mathematical analysis has multiple branches, which include real analysis, complex analysis, functional analysis, harmonics analysis and differential equations. Real analysis is a branch of mathematical analysis that involves the study of real numbers and real-valued functions of a real variable. Complex analysis examines the functions of complex numbers, and has several applications in physics and mathematics which include hydrodynamics, thermodynamics, mechanical engineering, electrical engineering, quantum theory, number theory, applied mathematics and algebraic geometry. Harmonic analysis is concerned with the representation of functions and signals as the superposition of basic waves and it finds applications in multiple areas including music theory, representation theory and tidal analysis. This book outlines the significance and applications of mathematical analysis in detail. Students, researchers, and experts associated with this field will benefit from it.

Author : Michael Ruzhansky,Hemen Dutta
Publisher : CRC Press
Page : 588 pages
File Size : 51,5 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.

Author : Bipan Hazarika,Santanu Acharjee,H M Srivastava
Publisher : CRC Press
Page : 358 pages
File Size : 46,8 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.

Author : Mangey Ram,Tadashi Dohi
Publisher : CRC Press
Page : 311 pages
File Size : 55,9 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

Author : Hemen Dutta
Publisher : CRC Press
Page : 339 pages
File Size : 52,6 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.

Author : V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa
Publisher : Springer
Page : 485 pages
File Size : 45,5 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.

Author : Hemen Dutta,James F. Peters
Publisher : Springer
Page : 810 pages
File Size : 44,6 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.

Author : John P. D'Angelo
Publisher : CRC Press
Page : 264 pages
File Size : 43,6 Mb
Release : 2017-08-02
Category : Mathematics
ISBN : 9781498756112

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Linear and Complex Analysis for Applications by John P. D'Angelo Pdf

Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author’s teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals: to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify many distinct and seemingly isolated topics, to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems. The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics from Calculus III. As the topics are being reviewed, new material is inserted to help the student develop skill in both computation and theory. The material on linear algebra includes infinite-dimensional examples arising from elementary calculus and differential equations. Line and surface integrals are computed both in the language of classical vector analysis and by using differential forms. Connections among the topics and applications appear throughout the book. The text weaves abstract mathematics, routine computational problems, and applications into a coherent whole, whose unifying theme is linear systems. It includes many unusual examples and contains more than 450 exercises.

Author : Bipan Hazarika,Santanu Acharjee,H M Srivastava
Publisher : CRC Press
Page : 338 pages
File Size : 47,5 Mb
Release : 2022-12-12
Category : Mathematics
ISBN : 9781000824438

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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.

Author : R.P. Agarwal,Patricia J.Y. Wong
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 50,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401588997

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Advanced Topics in Difference Equations by R.P. Agarwal,Patricia J.Y. Wong Pdf

. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential equations are discovering the sometimes striking divergence between the continuous and the discrete. There is no doubt that the theory of difference equations will continue to play an important role in mathematics as a whole. In 1992, the first author published a monograph on the subject entitled Difference Equations and Inequalities. This book was an in-depth survey of the field up to the year of publication. Since then, the subject has grown to such an extent that it is now quite impossible for a similar survey, even to cover just the results obtained in the last four years, to be written. In the present monograph, we have collected some of the results which we have obtained in the last few years, as well as some yet unpublished ones.

Author : R. Beals
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 45,6 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.

Author : Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area
Publisher : Birkhäuser
Page : 301 pages
File Size : 43,7 Mb
Release : 2017-10-11
Category : Mathematics
ISBN : 9811043361

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Advances in Real and Complex Analysis with Applications by Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area Pdf

This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

Author : A. Rodriguez-Palacios,M. V. Velasco
Publisher : World Scientific
Page : 227 pages
File Size : 52,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812708441

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Advanced Courses of Mathematical Analysis II by A. Rodriguez-Palacios,M. V. Velasco Pdf

This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of new directions and advances in topics for current and future research in the field.

Author : Cornelius Lanczos
Publisher : Unknown
Page : 560 pages
File Size : 52,6 Mb
Release : 2012-07-01
Category : Mathematical analysis
ISBN : 1258427478

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Applied Analysis by Cornelius Lanczos Pdf

Author : Hari M. Srivastava
Publisher : MDPI
Page : 226 pages
File Size : 47,8 Mb
Release : 2020-03-19
Category : Mathematics
ISBN : 9783039283842

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Mathematical Analysis and Applications II by Hari M. Srivastava Pdf

This issue is a continuation of the previous successful Special Issue “Mathematical Analysis and Applications” . Investigations involving the theory and applications of mathematical analytical tools and techniques are remarkably widespread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. In this Special Issue, we invite and welcome review, expository and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.