Mathematical Analysis In Interdisciplinary Research

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Mathematical Analysis in Interdisciplinary Research

Ioannis N. Parasidis,Efthimios Providas,Themistocles M. Rassias
Mathematical Analysis in Interdisciplinary Research Book PDF

Author : Ioannis N. Parasidis,Efthimios Providas,Themistocles M. Rassias
Publisher : Springer Nature
Page : 1050 pages
File Size : 45,9 Mb
Release : 2022-03-10
Category : Mathematics
ISBN : 9783030847210

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Mathematical Analysis in Interdisciplinary Research by Ioannis N. Parasidis,Efthimios Providas,Themistocles M. Rassias Pdf

This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.

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 : 48,6 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.

Mathematical Analysis and Applications

Themistocles M. Rassias,Panos M. Pardalos
Mathematical Analysis and Applications Book PDF

Author : Themistocles M. Rassias,Panos M. Pardalos
Publisher : Springer Nature
Page : 694 pages
File Size : 47,8 Mb
Release : 2019-12-12
Category : Mathematics
ISBN : 9783030313395

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Mathematical Analysis and Applications by Themistocles M. Rassias,Panos M. Pardalos Pdf

An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss 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 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. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.

Mathematics Without Boundaries

Panos M. Pardalos,Themistocles M. Rassias
Mathematics Without Boundaries Book PDF

Author : Panos M. Pardalos,Themistocles M. Rassias
Publisher : Springer
Page : 648 pages
File Size : 48,6 Mb
Release : 2014-09-16
Category : Mathematics
ISBN : 9781493911240

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Mathematics Without Boundaries by Panos M. Pardalos,Themistocles M. Rassias Pdf

This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.

Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev
Interdisciplinary Topics in Applied Mathematics Modeling and Computational Science Book PDF

Author : Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev
Publisher : Springer
Page : 555 pages
File Size : 49,7 Mb
Release : 2015-07-03
Category : Computers
ISBN : 9783319123073

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Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science by Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev Pdf

The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.

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 : 49,8 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.

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 : 764 pages
File Size : 52,5 Mb
Release : 2018-05-11
Category : Mathematics
ISBN : 9781119414346

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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.

Data Depth

Regina Y. Liu,Robert Joseph Serfling,Diane L. Souvaine
Data Depth Book PDF

Author : Regina Y. Liu,Robert Joseph Serfling,Diane L. Souvaine
Publisher : American Mathematical Soc.
Page : 264 pages
File Size : 52,8 Mb
Release : 2006
Category : Geometry
ISBN : 9780821835968

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Data Depth by Regina Y. Liu,Robert Joseph Serfling,Diane L. Souvaine Pdf

The book is a collection of some of the research presented at the workshop of the same name held in May 2003 at Rutgers University. The workshop brought together researchers from two different communities: statisticians and specialists in computational geometry. The main idea unifying these two research areas turned out to be the notion of data depth, which is an important notion both in statistics and in the study of efficiency of algorithms used in computational geometry. Many of the articles in the book lay down the foundations for further collaboration and interdisciplinary research. Information for our distributors: Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).

Functional Analysis in Interdisciplinary Applications—II

Allaberen Ashyralyev,Tynysbek Sh. Kalmenov,Michael V. Ruzhansky,Makhmud A. Sadybekov,Durvudkhan Suragan
Functional Analysis in Interdisciplinary Applications II Book PDF

Author : Allaberen Ashyralyev,Tynysbek Sh. Kalmenov,Michael V. Ruzhansky,Makhmud A. Sadybekov,Durvudkhan Suragan
Publisher : Springer Nature
Page : 289 pages
File Size : 49,6 Mb
Release : 2021-07-03
Category : Mathematics
ISBN : 9783030692926

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Functional Analysis in Interdisciplinary Applications—II by Allaberen Ashyralyev,Tynysbek Sh. Kalmenov,Michael V. Ruzhansky,Makhmud A. Sadybekov,Durvudkhan Suragan Pdf

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and functional spaces, differential and difference equations and boundary value problems, differential and integral operators and spectral theory, and mathematical methods in physical and engineering sciences. The present volume is devoted to these investigations. The publication of this collection of papers is based on the materials of the mini-symposium "Functional Analysis in Interdisciplinary Applications" organized in the framework of the Fourth International Conference on Analysis and Applied Mathematics (ICAAM 2018, September 6–9, 2018). Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis. Many articles are written by experts from around the world, strengthening international integration in the fields covered. The contributions to the volume, all peer reviewed, contain numerous new results. This volume contains four different chapters. The first chapter contains the contributed papers focusing on various aspects of the theory of functions and functional spaces. The second chapter is devoted to the research on difference and differential equations and boundary value problems. The third chapter contains the results of studies on differential and integral operators and on the spectral theory. The fourth chapter is focused on the simulation of problems arising in real-world applications of applied sciences.

Advanced Mathematical Methods in Biosciences and Applications

Faina Berezovskaya,Bourama Toni
Advanced Mathematical Methods in Biosciences and Applications Book PDF

Author : Faina Berezovskaya,Bourama Toni
Publisher : Springer Nature
Page : 268 pages
File Size : 55,9 Mb
Release : 2019-09-19
Category : Mathematics
ISBN : 9783030157159

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Advanced Mathematical Methods in Biosciences and Applications by Faina Berezovskaya,Bourama Toni Pdf

Featuring contributions from experts in mathematical biology and biomedical research, this edited volume covers a diverse set of topics on mathematical methods and applications in the biosciences. Topics focus on advanced mathematical methods, with chapters on the mathematical analysis of the quasispecies model, Arnold’s weak resonance equation, bifurcation analysis, and the Tonnelier-Gerstner model. Special emphasis is placed on applications such as natural selection, population heterogeneity, polyvariant ontogeny in plants, cancer dynamics, and analytical solutions for traveling pulses and wave trains in neural models. A survey on quasiperiodic topology is also presented in this book. Carefully peer-reviewed, this volume is suitable for students interested in interdisciplinary research. Researchers in applied mathematics and the biosciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.

New Frontiers of Multidisciplinary Research in STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health)

Bourama Toni
New Frontiers of Multidisciplinary Research in STEAM H Science Technology Engineering Agriculture Mathematics and Health Book PDF

Author : Bourama Toni
Publisher : Springer
Page : 389 pages
File Size : 52,7 Mb
Release : 2014-09-25
Category : Mathematics
ISBN : 9783319077550

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New Frontiers of Multidisciplinary Research in STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) by Bourama Toni Pdf

This highly multidisciplinary volume contains contributions from leading researchers in STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health). The volume explores new frontiers in multidisciplinary research, including: the mathematics of cardiac arrhythmia; brain research on working memory; penalized ordinal regression to classify melanoma skin samples; forecasting of time series data; dynamics of niche models; analysis of chemical moieties as anticancer agents; study of gene locus control regions; qualitative mathematical modelling; convex quadrics and group circle systems; remanufacturing planning and control; complexity reduction of functional differential equations; computation of viscous interfacial motion; and differentiation in human pluripotent stem cells. An extension of a seminar series at Virginia State University, the collection is intended to foster student interest and participation in interdisciplinary research and to stimulate new research. The content will be of interest to a broad spectrum of scientists, mathematicians and research students working in interdisciplinary fields including the biosciences, mathematics, engineering, neurosciences and behavioral sciences.

Advances in Functional Analysis and Fixed-Point Theory

Bipan Hazarika,Santanu Acharjee,Dragan S. Djordjević
Advances in Functional Analysis and Fixed Point Theory Book PDF

Author : Bipan Hazarika,Santanu Acharjee,Dragan S. Djordjević
Publisher : Springer
Page : 0 pages
File Size : 51,5 Mb
Release : 2024-03-15
Category : Mathematics
ISBN : 9819992060

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Advances in Functional Analysis and Fixed-Point Theory by Bipan Hazarika,Santanu Acharjee,Dragan S. Djordjević Pdf

This book presents a curated selection of recent research in functional analysis and fixed-point theory, exploring their applications in interdisciplinary fields. The primary objective is to establish a connection between the latest developments in functional analysis and fixed-point theory and the broader interdisciplinary research landscape. By doing so, this book aims to address the needs of researchers and experts seeking to stay up-to-date with the cutting-edge research trends in functional analysis, fixed-point theory and related areas. It also aims to pave the way for applying functional analysis and fixed-point theory to solve interdisciplinary problems in various domains, including but not limited to fractional calculus, integral equations, queuing theory, convex analysis, harmonic analysis and wavelet analysis.

Mathematical Sciences with Multidisciplinary Applications

Bourama Toni
Mathematical Sciences with Multidisciplinary Applications Book PDF

Author : Bourama Toni
Publisher : Springer
Page : 641 pages
File Size : 53,9 Mb
Release : 2016-08-19
Category : Mathematics
ISBN : 9783319313238

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Mathematical Sciences with Multidisciplinary Applications by Bourama Toni Pdf

This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.

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 : 42,6 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.

Interdisciplinary Educational Research In Mathematics and Its Connections to The Arts and Sciences

Bharath Sriraman,Claus Michelsen,Astrid Beckmann,Viktor Freiman
Interdisciplinary Educational Research In Mathematics and Its Connections to The Arts and Sciences Book PDF

Author : Bharath Sriraman,Claus Michelsen,Astrid Beckmann,Viktor Freiman
Publisher : IAP
Page : 313 pages
File Size : 44,6 Mb
Release : 2008-09-01
Category : Education
ISBN : 9781607528876

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Interdisciplinary Educational Research In Mathematics and Its Connections to The Arts and Sciences by Bharath Sriraman,Claus Michelsen,Astrid Beckmann,Viktor Freiman Pdf

The book is based on the recently held Symposium on mathematics and its connections to the arts and sciences, namely the second Mathematics and its Connections to the Arts and Sciences (MACAS2)Symposium in Odense, Denmark (May 29-31, 2007). The chapters are an eclectic collection of interdisciplinary research initiatives undertaken by mathematics educators with implications for practitioners concerned with teaching and learning processes. The papers cover a wide genre of research domains within mathematics education (cognition, modelling, problem solving, teacher education, ethnomathematics, mathematical/statistical literacy, curricular and technological initiatives and research related to science education). The major interdisciplinary themes of the papers in this book are: 1. How can modelling activities be used to foster interdisciplinary projects in the school and university setting? 2. How can the intricate connections between mathematics and physics be used to design and research interdisciplinary activities in schools and the university? 3. How can research within the ethnomathematics domain of mathematics education be linked to critical mathematics education and interdisciplinary projects involving mathematics, art and culture? 4. How can the push for mathematical and statistical literacy be connected to other subjects in the school curricula and emphasized via interdisciplinary activities? 5. What are concrete examples of classroom experiments with empirical data that demonstrate new and unusual connections/relations between mathematics, arts and the sciences with implications for pedagogy? 6. What is the role of technology and new ICT interfaces in linking communities of learners in interdisciplinary activities involving problem solving? The book is an important contribution to the literature on educational initiatives in interdisciplinary education increasing vital for emerging professions of the 21st century.