Recent Trends In Mathematical Sciences

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Recent Trends in Mathematical Modeling and High Performance Computing

Author : Vinai K. Singh
Publisher : Springer Nature
ISBN 13 : 3030682811
Total Pages : 441 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Recent Trends in Mathematical Modeling and High Performance Computing by : Vinai K. Singh

Download or read book Recent Trends in Mathematical Modeling and High Performance Computing written by Vinai K. Singh and published by Springer Nature. This book was released on 2021-08-23 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering. The content of the book is based on talks and papers presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held at Inderprastha Engineering College in Ghaziabad, India in January 2020. A wide range of both theoretical and applied topics are covered in detail, including the conceptualization of infinity, efficient domain decomposition, high capacity wireless communication, infectious disease modeling, and more. These chapters are organized around the following areas: Partial and ordinary differential equations Optimization and optimal control High performance and scientific computing Stochastic models and statistics Recent Trends in Mathematical Modeling and High Performance Computing will be of interest to researchers in both mathematics and engineering, as well as to practitioners who face complex models and extensive computations.

New Trends in Mathematical Physics

Author : Vladas Sidoravicius
Publisher : Springer Science & Business Media
ISBN 13 : 9048128102
Total Pages : 886 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis New Trends in Mathematical Physics by : Vladas Sidoravicius

Download or read book New Trends in Mathematical Physics written by Vladas Sidoravicius and published by Springer Science & Business Media. This book was released on 2009-08-31 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.

What's Happening in the Mathematical Sciences

Author : Barry Cipra
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

New Trends in Stochastic Analysis and Related Topics

Author : Huaizhong Zhao
Publisher : World Scientific
ISBN 13 : 9814360910
Total Pages : 458 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Stochastic Analysis and Related Topics by : Huaizhong Zhao

Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Author : Hemen Dutta
Publisher : Springer Nature
ISBN 13 : 3030152421
Total Pages : 912 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Current Trends in Mathematical Analysis and Its Interdisciplinary Applications by : Hemen Dutta

Download or read book Current Trends in Mathematical Analysis and Its Interdisciplinary Applications written by Hemen Dutta and published by Springer Nature. This book was released on 2019-08-23 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Trends in Applied Analysis and Computational Mathematics

Author : Susanta Kumar Paikray
Publisher : Springer Nature
ISBN 13 : 9811614024
Total Pages : 322 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis New Trends in Applied Analysis and Computational Mathematics by : Susanta Kumar Paikray

Download or read book New Trends in Applied Analysis and Computational Mathematics written by Susanta Kumar Paikray and published by Springer Nature. This book was released on 2021-06-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics. The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering.

Recent Trends in Applied Mathematics

Author : S. R. Mishra
Publisher : Springer Nature
ISBN 13 : 9811598177
Total Pages : 460 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Recent Trends in Applied Mathematics by : S. R. Mishra

Download or read book Recent Trends in Applied Mathematics written by S. R. Mishra and published by Springer Nature. This book was released on 2021-03-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents select proceedings of the International Conference on Applied Mathematics in Science and Engineering (AMSE 2019). Various topics covered include computational fluid dynamics, applications of differential equations in engineering, numerical methods for ODEs and PDEs, mathematical modeling and analysis of biological systems, optimal control and controllability of differential equations, fractional calculus and its applications, nonlinear analysis, and functional analysis. This book will be of interest to researchers, academicians and students in the fields of applied sciences, mathematics and engineering.

Fueling Innovation and Discovery

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309254736
Total Pages : 64 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Fueling Innovation and Discovery by : National Research Council

Download or read book Fueling Innovation and Discovery written by National Research Council and published by National Academies Press. This book was released on 2012-08-02 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment. Fueling Innovation and Discovery will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences.

Applied Mathematics and Scientific Computing

Author : B. Rushi Kumar
Publisher : Springer
ISBN 13 : 3030011232
Total Pages : 608 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Applied Mathematics and Scientific Computing by : B. Rushi Kumar

Download or read book Applied Mathematics and Scientific Computing written by B. Rushi Kumar and published by Springer. This book was released on 2019-02-01 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences (ICAMS), held at the Vellore Institute of Technology in December 2017. 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.

Trends in Commutative Algebra

Author : Luchezar L. Avramov
Publisher : Cambridge University Press
ISBN 13 : 0521831954
Total Pages : 7 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Trends in Commutative Algebra by : Luchezar L. Avramov

Download or read book Trends in Commutative Algebra written by Luchezar L. Avramov and published by Cambridge University Press. This book was released on 2004-12-13 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics.

Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

Author : Roderick Melnik
Publisher : Springer
ISBN 13 : 1493969692
Total Pages : 437 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science by : Roderick Melnik

Download or read book Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science written by Roderick Melnik and published by Springer. This book was released on 2017-09-05 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.

Recent Developments in Computational Finance

Author : Thomas Gerstner
Publisher : World Scientific
ISBN 13 : 9814436429
Total Pages : 481 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Developments in Computational Finance by : Thomas Gerstner

Download or read book Recent Developments in Computational Finance written by Thomas Gerstner and published by World Scientific. This book was released on 2013 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational finance is an interdisciplinary field which joins financial mathematics, stochastics, numerics and scientific computing. Its task is to estimate as accurately and efficiently as possible the risks that financial instruments generate. This volume consists of a series of cutting-edge surveys of recent developments in the field written by leading international experts. These make the subject accessible to a wide readership in academia and financial businesses. The book consists of 13 chapters divided into 3 parts: foundations, algorithms and applications. Besides surveys of existing results, the book contains many new previously unpublished results.

Advances in Algebra and Analysis

Author : V. Madhu
Publisher : Springer
ISBN 13 : 3030011208
Total Pages : 473 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Advances in Algebra and Analysis by : V. Madhu

Download or read book Advances in Algebra and Analysis written by V. Madhu and published by Springer. This book was released on 2019-01-23 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Trends on Analysis and Geometry in Metric Spaces

Author : Fabrice Baudoin
Publisher : Springer Nature
ISBN 13 : 3030841413
Total Pages : 312 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis New Trends on Analysis and Geometry in Metric Spaces by : Fabrice Baudoin

Download or read book New Trends on Analysis and Geometry in Metric Spaces written by Fabrice Baudoin and published by Springer Nature. This book was released on 2022-02-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot–Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.

History of Mathematical Sciences

Author : Lu¡s Saraiva
Publisher : World Scientific
ISBN 13 : 9812560785
Total Pages : 203 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis History of Mathematical Sciences by : Lu¡s Saraiva

Download or read book History of Mathematical Sciences written by Lu¡s Saraiva and published by World Scientific. This book was released on 2004 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the interaction between Europe and East Asia between the 16th and the 18th centuries in the field of mathematical sciences, bringing to the fore the role of Portugal as an agent of transmission of European science to East Asia. It is an important contribution to understanding this fundamental period of scientific history, beginning with the arrival of Vasco da Gama in India in 1498 and ending with the expulsion of the Society of Jesus from Portugal in 1759. The former event opened a new era in relations between Europe and Asia, in particular regarding the circulation of scientific knowledge, leading to major social and intellectual changes in both continents. The Society of Jesus controlled education in Portugal and in the Empire. It was central to the network of knowledge transmission until the Society was expelled from Portugal in 1759.The proceedings have been selected for coverage in: ? Index to Social Sciences & Humanities Proceedings? (ISSHP? / ISI Proceedings)? Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)

A Challenge of Numbers

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309041902
Total Pages : 136 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis A Challenge of Numbers by : National Research Council

Download or read book A Challenge of Numbers written by National Research Council and published by National Academies Press. This book was released on 1990-02-01 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Challenge of Numbers describes the circumstances and issues centered on people in the mathematical sciences, principally students and teachers at U.S. colleges and universities. A healthy flow of mathematical talent is crucial not only to the future of U.S. mathematics but also as a keystone supporting a technological workforce. Trends in the mathematical sciences' most valuable resourceâ€"its peopleâ€"are presented narratively, graphically, and numerically as an information base for policymakers and for those interested in the people in this not very visible, but critical profession.

Recent Trends in Algebraic Combinatorics

Author : Hélène Barcelo
Publisher : Springer
ISBN 13 : 9783030051402
Total Pages : 0 pages
Book Rating : 4.0/5 (514 download)

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Book Synopsis Recent Trends in Algebraic Combinatorics by : Hélène Barcelo

Download or read book Recent Trends in Algebraic Combinatorics written by Hélène Barcelo and published by Springer. This book was released on 2019-01-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.