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New Directions In Applied Mathematics
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Book Synopsis New Directions in Applied Mathematics by : P.J. Hilton
Download or read book New Directions in Applied Mathematics written by P.J. Hilton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is close enough to the end of the century to make a guess as to what the Encyclopedia Britannica article on the history of mathematics will report in 2582: "We have said that the dominating theme of the Nineteenth Century was the development and application of the theory of functions of one variable. At the beginning of the Twentieth Century, mathematicians turned optimistically to the study off unctions of several variables. But wholly unexpected difficulties were met, new phenomena were discovered, and new fields of mathematics sprung up to study and master them. As a result, except where development of methods from earlier centuries continued, there was a recoil from applications. Most of the best mathematicians of the first two-thirds of the century devoted their efforts entirely to pure mathe matics. In the last third, however, the powerful methods devised by then for higher-dimensional problems were turned onto applications, and the tools of applied mathematics were drastically changed. By the end of the century, the temporary overemphasis on pure mathematics was completely gone and the traditional interconnections between pure mathematics and applications restored. "This century also saw the first primitive beginnings of the electronic calculator, whose development in the next century led to our modern methods of handling mathematics.
Book Synopsis Current and Future Directions in Applied Mathematics by : Mark Alber
Download or read book Current and Future Directions in Applied Mathematics written by Mark Alber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Alber, Bei Hu and Joachim Rosenthal ... ... vii Part I Some Remarks on Applied Mathematics Roger Brockett ... ... ... ... ... 1 Mathematics is a Profession Christopher 1. Byrnes ... ... ... ... . 4 Comments on Applied Mathematics Avner Friedman ... ... ... ... . . 9 Towards an Applied Mathematics for Computer Science Jeremy Gunawardena ... ... ... ... . 11 Infomercial for Applied Mathematics Darryl Holm ... ... ... ... ... 15 On Research in Mathematical Economics M. Ali Khan ... ... ... ... ... 21 Applied Mathematics in the Computer and Communications Industry Brian Marcus ... ... ... ... ... 25 'frends in Applied Mathematics Jerrold E. Marsden ... ... ... ... 28 Applied Mathematics as an Interdisciplinary Subject Clyde F. Martin ... ... ... ... . 31 vi Contents Panel Discussion on Future Directions in Applied Mathe matics Laurence R. Taylor ... ... ... ... 38 Part II Feedback Stabilization of Relative Equilibria for Mechanical Systems with Symmetry A.M. Bloch, J.E. Marsden and G. Sanchez ... ... . 43 Oscillatory Descent for Function Minimization R. Brockett ... ... ... ... ... 65 On the Well-Posedness of the Rational Covariance Extension Problem C. l. Byrnes, H.J. Landau and A. Lindquist ... ... 83 Singular Limits in Fluid Mechanics P. Constantin ... ... ... ... ... 109 Singularities and Defects in Patterns Far from Threshold N.M. Ercolani ... ... ... ... ... 137 Mathematical Modeling and Simulation for Applications of Fluid Flow in Porous Media R.E. Ewing ... ... ... ... ... 161 On Loeb Measure Spaces and their Significance for N on Cooperative Game Theory M.A. Khan and Y. Sun ... ... ... ... 183 Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms J.E. Marsden and J.M. Wendlandt ... ... ... 219 Preface The applied sciences are faced with increasingly complex problems which call for sophisticated mathematical models.
Book Synopsis The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics by : Richard E. Ewing
Download or read book The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics written by Richard E. Ewing and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the Proceedings of the symposium held at the University of Wyoming in August, 1985, to honor Gail Young on his seventieth birthday (which actually took place on October 3, 1985) and on the occasion of his retirement. Nothing can seem more natural to a mathematician in this country than to honor Gail Young. Gail embodies all the qualities that a mathematician should possess. He is an active and effective research mathematician, having written over sixty pa pers in topology, n-dimensional analysis, complex variables, and "miscellanea." He is an outstanding expositor, as his fine book Topology, written with J. G. Hocking (Addison Wesley, 1961), amply demonstrates. He has a superlative record in public office of outstanding, unstinting service to the mathematical community and to the cause of education. But what makes Gail unique and special is that throughout all aspects of his distinguished career, he has emphasized human values in everything he has done. In touching the lives of so many of us, he has advanced the entire profession. Deservedly, he has innumerable friends in the mathematical community, the academic community, and beyond.
Book Synopsis New Directions for Equity in Mathematics Education by : Walter G. Secada
Download or read book New Directions for Equity in Mathematics Education written by Walter G. Secada and published by Cambridge University Press. This book was released on 1995-04-28 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines equity from the standpoint of mathematics education - an excellent forum for the topic, since the results are quantifiable and the disparity in performance is stark.
Book Synopsis Princeton Companion to Applied Mathematics by : Nicholas J. Higham
Download or read book Princeton Companion to Applied Mathematics written by Nicholas J. Higham and published by Princeton University Press. This book was released on 2015-09-09 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Book Synopsis Applied Mathematical Modeling by : Douglas R. Shier
Download or read book Applied Mathematical Modeling written by Douglas R. Shier and published by CRC Press. This book was released on 1999-11-11 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The practice of modeling is best learned by those armed with fundamental methodologies and exposed to a wide variety of modeling experience. Ideally, this experience could be obtained by working on actual modeling problems. But time constraints often make this difficult. Applied Mathematical Modeling provides a collection of models illustrating the power and richness of the mathematical sciences in supplying insight into the operation of important real-world systems. It fills a gap within modeling texts, focusing on applications across a broad range of disciplines. The first part of the book discusses the general components of the modeling process and highlights the potential of modeling in practice. These chapters discuss the general components of the modeling process, and the evolutionary nature of successful model building. The second part provides a rich compendium of case studies, each one complete with examples, exercises, and projects. In keeping with the multidimensional nature of the models presented, the chapters in the second part are listed in alphabetical order by the contributor's last name. Unlike most mathematical books, in which you must master the concepts of early chapters to prepare for subsequent material, you may start with any chapter. Begin with cryptology, if that catches your fancy, or go directly to bursty traffic if that is your cup of tea. Applied Mathematical Modeling serves as a handbook of in-depth case studies that span the mathematical sciences, building upon a modest mathematical background. Readers in other applied disciplines will benefit from seeing how selected mathematical modeling philosophies and techniques can be brought to bear on problems in their disciplines. The models address actual situations studied in chemistry, physics, demography, economics, civil engineering, environmental engineering, industrial engineering, telecommunications, and other areas.
Book Synopsis New Directions in Two-Year College Mathematics by : Donald J. Albers
Download or read book New Directions in Two-Year College Mathematics written by Donald J. Albers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: by Donald J. Albers ix INTRODUCTION In July of 1984 the first national conference on mathematics education in two-year colleges was held at Menlo College. The conference was funded by the Alfred P. Sloan Foundation. Two-year colleges account for more than one-third of all undergraduate enrollments in mathematics, and more than one-half of all college freshmen are enrolled in two-year colleges. These two facts alone suggest the importance of mathematics education in two-year colleges, particularly to secondary schools, four-year colleges, and universities. For a variety of reasons, four-year colleges and universities are relatively unaware of two-year colleges. Arthur Cohen, who was a participant at the "New Directions" conference warns: "Four-year colleges and universities ignore two-year colleges at their own peril." Ross Taylor, another conference participant, encouraged two-year college faculty to be ever mindful of their main source of students--secondary schools- and to work hard to strengthen their ties with them. There are many other reasons why it was important to examine two-year college mathematics from a national perspective: 1. Over the last quarter century, rio other sector of higher education has grown so rapidly as have two-year colleges. Their enrollments tripled in the 60's, doubled in the 70's, and continue to increase rapidly in the 80's. x 2. Twenty-five years ago, two-year colleges accounted for only one-seventh of all undergraduate mathematics enrollments; today the fraction is more than one-third.
Book Synopsis New Directions in Economic Methodology by : Roger Backhouse
Download or read book New Directions in Economic Methodology written by Roger Backhouse and published by Psychology Press. This book was released on 1994 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: While work on economic methodology has increased this has been coupled with a lack of consensus about the direction and content of the discipline. This book reflects this growing diversity with contributions from the leading methodologists.
Book Synopsis New Directions in the Philosophy of Science by : Maria Carla Galavotti
Download or read book New Directions in the Philosophy of Science written by Maria Carla Galavotti and published by Springer. This book was released on 2014-06-02 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume sheds light on still unexplored issues and raises new questions in the main areas addressed by the philosophy of science. Bringing together selected papers from three main events, the book presents the most advanced scientific results in the field and suggests innovative lines for further investigation. It explores how discussions on several notions of the philosophy of science can help different scientific disciplines in learning from each other. Finally, it focuses on the relationship between Cambridge and Vienna in twentieth century philosophy of science. The areas examined in the book are: formal methods, the philosophy of the natural and life sciences, the cultural and social sciences, the physical sciences and the history of the philosophy of science.
Book Synopsis Sub-Riemannian Geometry by : André Bellaïche
Download or read book Sub-Riemannian Geometry written by André Bellaïche and published by Springer Science & Business Media. This book was released on 1996-09-26 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely: • control theory • classical mechanics • Riemannian geometry (of which sub-Riemannian geometry constitutes a natural generalization, and where sub-Riemannian metrics may appear as limit cases) • diffusion on manifolds • analysis of hypoelliptic operators • Cauchy-Riemann (or CR) geometry. Although links between these domains had been foreseen by many authors in the past, it is only in recent years that sub- Riemannian geometry has been recognized as a possible common framework for all these topics. This book provides an introduction to sub-Riemannian geometry and presents the state of the art and open problems in the field. It consists of five coherent and original articles by the leading specialists: • André Bellaïche: The tangent space in sub-Riemannian geometry • Mikhael Gromov: Carnot-Carathéodory spaces seen from within • Richard Montgomery: Survey of singular geodesics • Héctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers • Jean-Michel Coron: Stabilization of controllable systems
Book Synopsis New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative by : Daniel Alpay
Download or read book New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative written by Daniel Alpay and published by Springer Nature. This book was released on 2022-01-01 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.
Book Synopsis Nonlinear Dynamics New Directions by : Hernán González-Aguilar
Download or read book Nonlinear Dynamics New Directions written by Hernán González-Aguilar and published by Springer. This book was released on 2015-02-10 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others. This book also: · Develops applications of nonlinear dynamics on a diversity of topics such as patterns of synchrony in neuronal networks, laser synchronization, control of chaotic systems, and the study of transient dynamics in biological · Includes a study of self-organized regularity in long-range systems · Explains use of Levenstein's distance for measuring lexical evolution rates
Book Synopsis Mathematical Methods in Scattering Theory and Biomedical Technology by : George Dassios
Download or read book Mathematical Methods in Scattering Theory and Biomedical Technology written by George Dassios and published by CRC Press. This book was released on 1998-06-11 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume address the state-of-the-art and future directions in applied mathematics in both scattering theory and biomedical technology. A workshop held in Metsovo, Greece during the summer of 1997 brought together some of the world's foremose experts in the field with researchers working in Greece. Sixteen of the contributed papers appear in this volume. All the papers give new directions, and in several cases, the most important scientific contributions in the fields.
Book Synopsis Algebraic Topology: Applications and New Directions by : Ulrike Tillmann
Download or read book Algebraic Topology: Applications and New Directions written by Ulrike Tillmann and published by American Mathematical Soc.. This book was released on 2014-07-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject. The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic -theory and the theory of operads.
Book Synopsis Guide to Information Sources in Mathematics and Statistics by : Martha A. Tucker
Download or read book Guide to Information Sources in Mathematics and Statistics written by Martha A. Tucker and published by Bloomsbury Publishing USA. This book was released on 2004-09-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
Author :Wijesuriya P. Dayawansa Publisher :Springer Science & Business Media ISBN 13 :9783540239536 Total Pages :420 pages Book Rating :4.2/5 (395 download)
Book Synopsis New Directions and Applications in Control Theory by : Wijesuriya P. Dayawansa
Download or read book New Directions and Applications in Control Theory written by Wijesuriya P. Dayawansa and published by Springer Science & Business Media. This book was released on 2005-08-31 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.
Book Synopsis New Directions in Atomic Physics by : C.T. Whelan
Download or read book New Directions in Atomic Physics written by C.T. Whelan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen some remarkable advances in the understanding of atomic phenomena. It is now possible to isolate atomic systems in traps, measure in coincidence the fragments of collision processes, routinely produce, and study multicharged ions. One can look at bulk matter in such a way that the fundamental atomic character is clearly evident and work has begun to tease out the properties of anti matter. The papers in this book reflect many aspects of modem Atomic Physics. They correspond to the invited talks at a conference dedicated to the study of "New Directions in Atomic Physics," which took place in Magdalene College, Cambridge in July of 1998. The meeting was designed as a way of taking stock of what has been achieved and, it was hoped, as a means of stimulating new research in new areas, along new lines. Consequently, an effort was made to touch on as many directions as we could in the four days of the meeting. We included some talks which overviewed whole subfields, as well as quite a large number of research contributions. There is a unity to Physics and we tried to avoid any artificial division between theory and experiment. We had roughly the same number of talks from those who are primarily concerned with making measurements, and from those who spend their lives trying to develop the theory to describe the experiments.