Topics In Contemporary Mathematical Analysis And Applications

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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 : 53,5 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.

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 : 51,5 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.

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 : 768 pages
File Size : 55,5 Mb
Release : 2018-04-05
Category : Mathematics
ISBN : 9781119414308

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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.

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 : 53,9 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 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 : 48,9 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.

Mathematical Analysis and Applications—Plenary Lectures

Luigi G. Rodino,Joachim Toft
Mathematical Analysis and Applications Plenary Lectures Book PDF

Author : Luigi G. Rodino,Joachim Toft
Publisher : Springer
Page : 207 pages
File Size : 44,5 Mb
Release : 2018-11-11
Category : Mathematics
ISBN : 9783030008741

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Mathematical Analysis and Applications—Plenary Lectures by Luigi G. Rodino,Joachim Toft Pdf

This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis. The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic command of Calculus. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics.

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 : 46,7 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.

Advanced Topics in Mathematical Analysis and Applications

Matt Ferrier
Advanced Topics in Mathematical Analysis and Applications Book PDF

Author : Matt Ferrier
Publisher : NY Research Press
Page : 0 pages
File Size : 43,5 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.

Topics in Mathematical Analysis

Paolo Ciatti
Topics in Mathematical Analysis Book PDF

Author : Paolo Ciatti
Publisher : World Scientific
Page : 460 pages
File Size : 40,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812811059

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Topics in Mathematical Analysis by Paolo Ciatti Pdf

"This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide the reader with material otherwise difficult to find and written in a manner which is also accessible to nonexperts."--BOOK JACKET.

Modern Discrete Mathematics and Analysis

Nicholas J. Daras,Themistocles M. Rassias
Modern Discrete Mathematics and Analysis Book PDF

Author : Nicholas J. Daras,Themistocles M. Rassias
Publisher : Springer
Page : 521 pages
File Size : 48,6 Mb
Release : 2018-07-05
Category : Mathematics
ISBN : 9783319743257

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Modern Discrete Mathematics and Analysis by Nicholas J. Daras,Themistocles M. Rassias Pdf

A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

Mathematical Analysis

Nicola Fusco,Paolo Marcellini,Carlo Sbordone
Mathematical Analysis Book PDF

Author : Nicola Fusco,Paolo Marcellini,Carlo Sbordone
Publisher : Springer Nature
Page : 678 pages
File Size : 43,7 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 9783031041518

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Mathematical Analysis by Nicola Fusco,Paolo Marcellini,Carlo Sbordone Pdf

This work is a textbook on Mathematical Analysis written by expert lecturers in the field. This textbook, other than the classical differentiation and integration tools for functions of several real variables, metric spaces, ordinary differential equations, implicit function and so on, also provides opportunities to go deeper into certain topics: among them, the Ascoli-Arzelà theorem, the regularity of convex functions in R^n, L^p spaces and absolutely continuous functions, all topics that are paramount in modern Mathematical Analysis. Other instances include the Weierstrass theorem on polynomial approximation of continuous functions or Peano's existence theorem (typically only existence, without uniqueness) for nonlinear ODEs and systems under general assumptions. The content is discussed in an elementary way and, at a successive stage, some topics are examined from several, more penetrating, angles. The agile organization of the subject matter helps instructors to effortlessly determine which parts to present during lectures and where to stop. The authors believe that any textbook can contribute to the success of a lecture course only to a point, and the choices made by lecturers are decisive in this respect. The book is addressed to graduate or undergraduate honors students in Mathematics, Physics, Astronomy, Computer Science, Statistics and Probability, attending Mathematical Analysis courses at the Faculties of Science, Engineering, Economics and Architecture.

Modern Analysis and Applications

Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov
Modern Analysis and Applications Book PDF

Author : Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov
Publisher : Springer Science & Business Media
Page : 490 pages
File Size : 54,9 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 9783764399191

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Modern Analysis and Applications by Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov Pdf

This is the first of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.

Quantization, PDEs, and Geometry

Dorothea Bahns,Wolfram Bauer,Ingo Witt
Quantization PDEs and Geometry Book PDF

Author : Dorothea Bahns,Wolfram Bauer,Ingo Witt
Publisher : Birkhäuser
Page : 314 pages
File Size : 54,7 Mb
Release : 2016-02-11
Category : Mathematics
ISBN : 9783319224077

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Quantization, PDEs, and Geometry by Dorothea Bahns,Wolfram Bauer,Ingo Witt Pdf

This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian geometry. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen. The authors explain fundamental concepts and ideas and present them clearly. Starting from basic notions, these course notes take the reader to the point of current research, highlighting new challenges and addressing unsolved problems at the interface between mathematics and physics. All contributions are of interest to researchers in the respective fields, but they are also accessible to graduate students.

Topics in Contemporary Mathematical Physics

Kai S. Lam
Topics in Contemporary Mathematical Physics Book PDF

Author : Kai S. Lam
Publisher : World Scientific
Page : 622 pages
File Size : 53,5 Mb
Release : 2003
Category : Science
ISBN : 9812384545

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Topics in Contemporary Mathematical Physics by Kai S. Lam Pdf

This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; (3) topology and differential geometry.The following are noteworthy features of this book: the style of exposition is a fusion of those common in the standard physics and mathematics literatures; the level of exposition varies from quite elementary to moderately advanced, so that the book is of interest to a wide audience; despite the diversity of the topics covered, there is a strong degree of thematic unity; much care is devoted to detailed cross-referencing so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.

Mathematical Analysis and the Mathematics of Computation

Werner Römisch,Thomas Zeugmann
Mathematical Analysis and the Mathematics of Computation Book PDF

Author : Werner Römisch,Thomas Zeugmann
Publisher : Springer
Page : 703 pages
File Size : 43,6 Mb
Release : 2016-10-04
Category : Computers
ISBN : 9783319427553

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Mathematical Analysis and the Mathematics of Computation by Werner Römisch,Thomas Zeugmann Pdf

This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations. This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.