Applied Mathematics Entering The 21st Century

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Applied Mathematics Entering the 21st Century

Author : James M. Hill
Publisher : SIAM
ISBN 13 : 9780898715590
Total Pages : 440 pages
Book Rating : 4.7/5 (155 download)

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Book Synopsis Applied Mathematics Entering the 21st Century by : James M. Hill

Download or read book Applied Mathematics Entering the 21st Century written by James M. Hill and published by SIAM. This book was released on 2004-04-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included in this volume are the Invited Talks given at the 5th International Congress of Industrial and Applied Mathematics. The authors of these papers are all acknowledged masters of their fields, having been chosen through a rigorous selection process by a distinguished International Program Committee. This volume presents an overview of contemporary applications of mathematics, with the coverage ranging from the rhythms of the nervous system, to optimal transportation, elasto-plasticity, computational drug design, hydrodynamic and meteorological modeling, and valuation in financial markets. Many papers are direct products of the computer revolution: grid generation, multi-scale modeling, high-dimensional numerical integration, nonlinear optimization, accurate floating-point computations and advanced iterative methods. Other papers demonstrate the close dependence on developments in mathematics itself, and the increasing importance of statistics. Additional topics relate to the study of properties of fluids and fluid-flows, or add to our understanding of Partial Differential Equations.

Mathematics Into the Twenty-first Century

Author : American Mathematical Society
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801673
Total Pages : 514 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Mathematics Into the Twenty-first Century by : American Mathematical Society

Download or read book Mathematics Into the Twenty-first Century written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1992 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the summer of 1988 in Providence, the AMS celebrated its centennial with a wide range of mathematical activities. Among those was a symposium, Mathematics into the Twenty-first Century, which brought together a number of the top research mathematicians who will likely have a significant impact on the mathematics of this century. This book contains the lectures presented by 16 of the 18 individuals who spoke during the symposium. Written by some of the major international figures in mathematical research, this group of articles covers a panorama of the vital areas of mathematics at the turn of the 21st century and gives the general mathematical reader a broad perspective on some of the major trends in research.

Introduction to the Mathematics of Finance

Author : R. J. Williams
Publisher : American Mathematical Society
ISBN 13 : 1470460386
Total Pages : 162 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Introduction to the Mathematics of Finance by : R. J. Williams

Download or read book Introduction to the Mathematics of Finance written by R. J. Williams and published by American Mathematical Society. This book was released on 2021-09-14 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern subject of mathematical finance has undergone considerable development, both in theory and practice, since the seminal work of Black and Scholes appeared a third of a century ago. This book is intended as an introduction to some elements of the theory that will enable students and researchers to go on to read more advanced texts and research papers. The book begins with the development of the basic ideas of hedging and pricing of European and American derivatives in the discrete (i.e., discrete time and discrete state) setting of binomial tree models. Then a general discrete finite market model is introduced, and the fundamental theorems of asset pricing are proved in this setting. Tools from probability such as conditional expectation, filtration, (super)martingale, equivalent martingale measure, and martingale representation are all used first in this simple discrete framework. This provides a bridge to the continuous (time and state) setting, which requires the additional concepts of Brownian motion and stochastic calculus. The simplest model in the continuous setting is the famous Black-Scholes model, for which pricing and hedging of European and American derivatives are developed. The book concludes with a description of the fundamental theorems for a continuous market model that generalizes the simple Black-Scholes model in several directions.

Mathematics for Industry

Author : David R. Ferguson
Publisher : SIAM
ISBN 13 : 9780898715989
Total Pages : 260 pages
Book Rating : 4.7/5 (159 download)

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Book Synopsis Mathematics for Industry by : David R. Ferguson

Download or read book Mathematics for Industry written by David R. Ferguson and published by SIAM. This book was released on 2005-01-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers were elicited primarily from Mathematics for Industry: Challenges and Frontiers, a conference sponsored by SIAM in October, 2003.

Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances

Author : Herbert Steinrück
Publisher : Springer Science & Business Media
ISBN 13 : 3709104084
Total Pages : 426 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances by : Herbert Steinrück

Download or read book Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances written by Herbert Steinrück and published by Springer Science & Business Media. This book was released on 2012-01-29 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

Mathematics for Nonlinear Phenomena — Analysis and Computation

Author : Yasunori Maekawa
Publisher : Springer
ISBN 13 : 3319667645
Total Pages : 335 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematics for Nonlinear Phenomena — Analysis and Computation by : Yasunori Maekawa

Download or read book Mathematics for Nonlinear Phenomena — Analysis and Computation written by Yasunori Maekawa and published by Springer. This book was released on 2017-11-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers some of the most seminal research in the areas of mathematical analysis and numerical computation for nonlinear phenomena. Collected from the international conference held in honor of Professor Yoshikazu Giga’s 60th birthday, the featured research papers and survey articles discuss partial differential equations related to fluid mechanics, electromagnetism, surface diffusion, and evolving interfaces. Specific focus is placed on topics such as the solvability of the Navier-Stokes equations and the regularity, stability, and symmetry of their solutions, analysis of a living fluid, stochastic effects and numerics for Maxwell’s equations, nonlinear heat equations in critical spaces, viscosity solutions describing various kinds of interfaces, numerics for evolving interfaces, and a hyperbolic obstacle problem. Also included in this volume are an introduction of Yoshikazu Giga’s extensive academic career and a long list of his published work. Students and researchers in mathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.

A Guide to Numerical Modelling in Systems Biology

Author : Peter Deuflhard
Publisher : Springer
ISBN 13 : 3319200593
Total Pages : 185 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis A Guide to Numerical Modelling in Systems Biology by : Peter Deuflhard

Download or read book A Guide to Numerical Modelling in Systems Biology written by Peter Deuflhard and published by Springer. This book was released on 2015-07-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for students of computational systems biology with only a limited background in mathematics. Typical books on systems biology merely mention algorithmic approaches, but without offering a deeper understanding. On the other hand, mathematical books are typically unreadable for computational biologists. The authors of the present book have worked hard to fill this gap. The result is not a book on systems biology, but on computational methods in systems biology. This book originated from courses taught by the authors at Freie Universität Berlin. The guiding idea of the courses was to convey those mathematical insights that are indispensable for systems biology, teaching the necessary mathematical prerequisites by means of many illustrative examples and without any theorems. The three chapters cover the mathematical modelling of biochemical and physiological processes, numerical simulation of the dynamics of biological networks and identification of model parameters by means of comparisons with real data. Throughout the text, the strengths and weaknesses of numerical algorithms with respect to various systems biological issues are discussed. Web addresses for downloading the corresponding software are also included.

Handbook of Geomathematics

Author : Willi Freeden
Publisher : Springer Science & Business Media
ISBN 13 : 364201545X
Total Pages : 1371 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Handbook of Geomathematics by : Willi Freeden

Download or read book Handbook of Geomathematics written by Willi Freeden and published by Springer Science & Business Media. This book was released on 2010-08-13 with total page 1371 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.

Statistical Properties of Deterministic Systems

Author : Jiu Ding
Publisher : Springer Science & Business Media
ISBN 13 : 3540853677
Total Pages : 248 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Statistical Properties of Deterministic Systems by : Jiu Ding

Download or read book Statistical Properties of Deterministic Systems written by Jiu Ding and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

Acta Numerica 2005: Volume 14

Author : Arieh Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521858076
Total Pages : 584 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Acta Numerica 2005: Volume 14 by : Arieh Iserles

Download or read book Acta Numerica 2005: Volume 14 written by Arieh Iserles and published by Cambridge University Press. This book was released on 2005-06-30 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact factor, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

Vortex Dominated Flows

Author : Lu Ting
Publisher : Springer Science & Business Media
ISBN 13 : 3540685820
Total Pages : 508 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Vortex Dominated Flows by : Lu Ting

Download or read book Vortex Dominated Flows written by Lu Ting and published by Springer Science & Business Media. This book was released on 2007-07-05 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The book explores the dynamics of slender vortex filaments in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex-generated sound and thermoacoustics. The book is addressed to both graduate students and researchers.

Handbook of Materials Modeling

Author : Sidney Yip
Publisher : Springer Science & Business Media
ISBN 13 : 1402032862
Total Pages : 2903 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Materials Modeling by : Sidney Yip

Download or read book Handbook of Materials Modeling written by Sidney Yip and published by Springer Science & Business Media. This book was released on 2007-11-17 with total page 2903 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.

Progress in Industrial Mathematics at ECMI 2010

Author : Michael Günther
Publisher : Springer Science & Business Media
ISBN 13 : 3642251005
Total Pages : 613 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Progress in Industrial Mathematics at ECMI 2010 by : Michael Günther

Download or read book Progress in Industrial Mathematics at ECMI 2010 written by Michael Günther and published by Springer Science & Business Media. This book was released on 2012-04-05 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: ECMI, the European Consortium for Mathematics in Industry, is the European brand associated with applied mathematics for industry and organizes highly successful biannual conferences. In this series, the ECMI 2010, the 16th European Conference on Mathematics for Industry, was held in the historic city hall of Wuppertal in Germany. It covered the mathematics of a wide range of applications and methods, from circuit and electromagnetic device simulation to model order reduction for chip design, uncertainties and stochastics, production, fluids, life and environmental sciences, and dedicated and versatile methods. These proceedings of ECMI 2010 emphasize mathematics as an innovation enabler for industry and business, and as an absolutely essential pre-requiste for Europe on its way to becoming the leading knowledge-based economy in the world.

Algebraic Geometry in Coding Theory and Cryptography

Author : Harald Niederreiter
Publisher : Princeton University Press
ISBN 13 : 140083130X
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Geometry in Coding Theory and Cryptography by : Harald Niederreiter

Download or read book Algebraic Geometry in Coding Theory and Cryptography written by Harald Niederreiter and published by Princeton University Press. This book was released on 2009-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books

Efficient Approximation Methods for the Global Long-term Behavior of Dynamical Systems

Author : Péter Koltai
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832527524
Total Pages : 162 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Efficient Approximation Methods for the Global Long-term Behavior of Dynamical Systems by : Péter Koltai

Download or read book Efficient Approximation Methods for the Global Long-term Behavior of Dynamical Systems written by Péter Koltai and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fur die Analyse des Langzeitverhaltens dynamischer Systeme werden in dieser Dissertation drei neue Ansatze, basierend auf Transferoperator-Methoden, zur Entwicklung effizienter Algorithmen vorgestellt. Zuerst leiten wir eine Diskretisierung auf dunnen Gittern her, um den Fluch der Dimension in den Griff zu bekommen. Die zweite Methode behandelt den infinitesimalen Generator der Transferoperator-Halbgruppe fur zeit-kontinuierliche Systeme. Als Drittes benutzen wir mean-field-Theorie, um die Dynamik von Subsystemen zu beschreiben, wobei besonderes Augenmerk auf die Konformationsanalyse in der Molekuldynamik gerichtet wird. Des Weiteren werden Bedingungen hergeleitet, unter welchen die Galerkin-Projektion des Transferoperators mit einer kleinen zufalligen Storung des zugrunde liegenden Systems in Verbindung gebracht werden kann. In this thesis three new transfer operator based approaches are developed for the analysis of the long-term behavior of dynamical systems. First, a sparse grid discretization is derived in order to deal with the "curse of dimension". The second method considers the infinitesimal generator of the transfer operator semigroup for continuous-time systems. The third method uses mean field theory to describe the dynamics of subsystems; here the main attention is devoted to conformation analysis in molecular dynamics. Further, conditions are derived such that the Galerkin projection of the transfer operator can be related to a small random perturbation of the underlying system.

Acta Numerica 2008: Volume 17

Author : A. Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521516426
Total Pages : 424 pages
Book Rating : 4.5/5 (164 download)

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Book Synopsis Acta Numerica 2008: Volume 17 by : A. Iserles

Download or read book Acta Numerica 2008: Volume 17 written by A. Iserles and published by Cambridge University Press. This book was released on 2008-06-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

The Family on the Threshold of the 21st Century

Author : Solly Dreman
Publisher : Psychology Press
ISBN 13 : 1135808481
Total Pages : 321 pages
Book Rating : 4.1/5 (358 download)

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Book Synopsis The Family on the Threshold of the 21st Century by : Solly Dreman

Download or read book The Family on the Threshold of the 21st Century written by Solly Dreman and published by Psychology Press. This book was released on 2013-04-15 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there life for the family in the 21st century? Pessimists view the traditional two-parent nuclear family as a relic of the past, attributing their gloomy outlook to increased demands from the workplace, rampant technological advancement, and the pursuit of personal achievement at the expense of interpersonal needs and values. Optimists, on the other hand, claim that increasing alienation and emphasis on the occupational sphere necessitate a sense of family, community, and belonging as a haven from work-related stress. This volume addresses these and related issues such as the interplay of personal versus interpersonal factors in family development, the role of the extended family, and the interface between work, community and family. The contents of this book--scholarly contributions from a unique interdisciplinary rostrum of behavioral scientists in such diverse fields as psychology, sociology, anthropology, social work, industrial management, and demography--represent the latest developments in research, theory, and practice in family studies. The reader is presented with theoretical formulations, empirical findings, and applied interventions regarding family life in different parts of the world. A systems perspective is adopted as the family is examined at its interface with individuals, community, society, and culture, with the interdependence of these different levels emphasized. In addition, an attempt is made to integrate the work of theoreticians, researchers, and practitioners in understanding the evolving family. Dreman provides a survey of family life in the international arena and finds a surprising consensus between the different disciplinary perspectives and the respective geographical arenas. He discusses life-span issues in relation to all levels of family life including the impact of increased longevity and decreased fertility in relation to topics such as individual development, parent-child and couple relationships, the workplace, and the community. This book also highlights the interplay of biological and interpersonal dynamics as in the case of spousal depression.