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Frontiers In Pure And Applied Mathematics
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Book Synopsis Mathematics: Frontiers and Perspectives by : Vladimir Igorevich Arnolʹd
Download or read book Mathematics: Frontiers and Perspectives written by Vladimir Igorevich Arnolʹd and published by American Mathematical Soc.. This book was released on 2000 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
Book Synopsis Frontiers of Applied Mathematics by : Din-Yu Hsieh
Download or read book Frontiers of Applied Mathematics written by Din-Yu Hsieh and published by World Scientific. This book was released on 2007 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together articles on the mathematical aspects of life sciences, astrophysics, and nonlinear wave problems. It covers theoretical problems associated with the nervous system, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous disks, spiral galaxies, dark matter dynamics, star formation, solitary waves, photonics, and nonlinear light propagation in periodic media. The contributions are written for a general audience, and the authors have included references for further reading.
Book Synopsis National Conference on Frontiers in Applied and Computational Mathematics (FACM-2005) by : Harvir Singh Kasana
Download or read book National Conference on Frontiers in Applied and Computational Mathematics (FACM-2005) written by Harvir Singh Kasana and published by Allied Publishers. This book was released on 2005 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computation and Applied Mathematics by :
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1992 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Dispersive Waves and Fluids by : Avy Soffer
Download or read book Nonlinear Dispersive Waves and Fluids written by Avy Soffer and published by American Mathematical Soc.. This book was released on 2019-03-12 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and the AMS Special Session on PDE Analysis on Fluid Flows, which were held in January 2017 in Atlanta, Georgia. These two sessions shared the underlying theme of the analysis aspect of evolutionary PDEs and mathematical physics. The articles address the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.
Book Synopsis Singularities and Oscillations by : Jeffrey Rauch
Download or read book Singularities and Oscillations written by Jeffrey Rauch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.
Book Synopsis Hamiltonian Reduction by Stages by : Jerrold E. Marsden
Download or read book Hamiltonian Reduction by Stages written by Jerrold E. Marsden and published by Springer. This book was released on 2007-06-05 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.
Book Synopsis Engineering—An Endless Frontier by : Sunny Y. AUYANG
Download or read book Engineering—An Endless Frontier written by Sunny Y. AUYANG and published by Harvard University Press. This book was released on 2009-06-30 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genetic engineering, nanotechnology, astrophysics, particle physics: We live in an engineered world, one where the distinctions between science and engineering, technology and research, are fast disappearing. This book shows how, at the dawn of the twenty-first century, the goals of natural scientists--to discover what was not known--and that of engineers--to create what did not exist--are undergoing an unprecedented convergence. Sunny Y. Auyang ranges widely in demonstrating that engineering today is not only a collaborator with science but its equal. In concise accounts of the emergence of industrial laboratories and chemical and electrical engineering, and in whirlwind histories of the machine tools and automobile industries and the rise of nuclear energy and information technology, her book presents a broad picture of modern engineering: its history, structure, technological achievements, and social responsibilities; its relation to natural science, business administration, and public policies. Auyang uses case studies such as the development of the F-117A Nighthawk and Boeing 777 aircraft, as well as the experiences of engineer-scientists such as Oliver Heaviside, engineer-entrepreneurs such as Henry Ford and Bill Gates, and engineer-managers such as Alfred Sloan and Jack Welch to give readers a clear sense of engineering's essential role in the future of scientific research. Table of Contents: Preface 1. Introduction 2 . Technology Takes Off 2.1 From Practical Art to Technology 2.2 Construction Becomes Mathematical 2.3 Experimenting with Machines 2.4 Science and Chemical Industries 2.5 Power and Communication 3. Engineering for Information 3.1 From Microelectronics to Nanotechnology 3.2 Computer Hardware and Software 3.3 Wireless, Satellites, and the Internet 4. Engineering in Society 4.1 Social Ascent and Images of Engineers 4.2 Partnership in Research and Development 4.3 Contributions to Sectors of the Economy 5. Innovation by Design 5.1 Inventive Thinking in Negative Feedback 5.2 Design Processes in Systems Engineering 5.3 “Working Togetherâ€? in Aircraft Development 5.4 From Onboard Computers to Door Hinges 6. Sciences of Useful Systems 6.1 Mathematics in Engineering and Science 6.2 Information and Control Theories 6.3 Wind Tunnels and Internet Simulation 6.4 Integrative Materials Engineering 6.5 Biological Engineering Frontiers 7. Leaders Who Are Engineers 7.1 Business Leaders in the Car Industry 7.2 Public Policies and Nuclear Power 7.3 Managing Technological Risks Appendix A. Statistical Profiles of Engineers Appendix B. U.S. Research and Development Notes Index I am impressed by the scope of Engineering - An Endless Frontier, and fascinated by Sunny Auyang's comprehensive knowledge of the subject. This is just the kind of book the National Academy of Engineering has been encouraging to promote the importance of engineering to the public. It will have a long shelf-life in that it pulls together material that is not readily accessible, and will serve as a reference for anyone interested in engineering as a profession. Engineering needs this book! --John Hutchinson, Harvard University Engineering - An Endless Frontier is extraordinary in scope. Sunny Auyang describes the different kinds of contemporary engineering practices and productions, attempts to provide historical background, explains the scientific basis for engineering innovation in different fields, and addresses the broad, systems level managerial, entrepreneurial, and design activities of professionals. It's rare to find a single author who can grasp and explain the essential features of modern technologies across such an array of industrial sectors and engineering disciplines and explain how they work, why they work they way they do, and what is required for their innovation, development and, yes, even maintenance. --Louis L. Bucciarelli, Professor Emeritus of Engineering and Technology Studies, MIT
Book Synopsis Computation and Applied Mathematics by :
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1998 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computation and Applied Mathematics by :
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 2002 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hyperbolic Systems with Analytic Coefficients by : Tatsuo Nishitani
Download or read book Hyperbolic Systems with Analytic Coefficients written by Tatsuo Nishitani and published by Springer. This book was released on 2013-11-19 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby.
Book Synopsis Monotone Operators in Banach Space and Nonlinear Partial Differential Equations by : R. E. Showalter
Download or read book Monotone Operators in Banach Space and Nonlinear Partial Differential Equations written by R. E. Showalter and published by American Mathematical Soc.. This book was released on 2013-02-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differential equations and to construct such operators as realizations of those problems in appropriate function spaces. A highlight of this presentation is the large number and variety of examples introduced to illustrate the connection between the theory of nonlinear operators and partial differential equations. These include primarily semilinear or quasilinear equations of elliptic or of parabolic type, degenerate cases with change of type, related systems and variational inequalities, and spatial boundary conditions of the usual Dirichlet, Neumann, Robin or dynamic type. The discussions of evolution equations include the usual initial-value problems as well as periodic or more general nonlocal constraints, history-value problems, those which may change type due to a possibly vanishing coefficient of the time derivative, and other implicit evolution equations or systems including hysteresis models. The scalar conservation law and semilinear wave equations are briefly mentioned, and hyperbolic systems arising from vibrations of elastic-plastic rods are developed. The origins of a representative sample of such problems are given in the appendix.
Book Synopsis A Primer for a Secret Shortcut to PDEs of Mathematical Physics by : Des McGhee
Download or read book A Primer for a Secret Shortcut to PDEs of Mathematical Physics written by Des McGhee and published by Birkhäuser. This book was released on 2020-10-20 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach. The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.
Download or read book The Abel Prize written by Helge Holden and published by Springer Science & Business Media. This book was released on 2009-12-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the first five Abel Prizes in mathematics: 2003 Jean-Pierre Serre; 2004 Sir Michael Atiyah and Isadore Singer; 2005 Peter D. Lax; 2006 Lennart Carleson; and 2007 S.R. Srinivasa Varadhan. Each laureate provides an autobiography or an interview, a curriculum vitae, and a complete bibliography. This is complemented by a scholarly description of their work written by leading experts in the field and by a brief history of the Abel Prize. Interviews with the laureates can be found at http://extras.springer.com .
Book Synopsis Foundations of Modern Analysis by : Avner Friedman
Download or read book Foundations of Modern Analysis written by Avner Friedman and published by Courier Corporation. This book was released on 1982-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.
Book Synopsis Topology and Its Applications by : William F. Basener
Download or read book Topology and Its Applications written by William F. Basener and published by John Wiley & Sons. This book was released on 2013-06-12 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as cell biology, superconductors, and robot motion, topology has been transformed from a theoretical field that highlights mathematical theory to a subject that plays a growing role in nearly all fields of scientific investigation. Moving from the concrete to the abstract, Topology and Its Applications displays both the beauty and utility of topology, first presenting the essentials of topology followed by its emerging role within the new frontiers in research. Filling a gap between the teaching of topology and its modern uses in real-world phenomena, Topology and Its Applications is organized around the mathematical theory of topology, a framework of rigorous theorems, and clear, elegant proofs. This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population modeling, as well as other areas of science and engineering. Many of these applications are presented in optional sections, allowing an instructor to customize the presentation. The author presents a diversity of topological areas, including point-set topology, geometric topology, differential topology, and algebraic/combinatorial topology. Topics within these areas include: Open sets Compactness Homotopy Surface classification Index theory on surfaces Manifolds and complexes Topological groups The fundamental group and homology Special "core intuition" segments throughout the book briefly explain the basic intuition essential to understanding several topics. A generous number of figures and examples, many of which come from applications such as liquid crystals, space probe data, and computer graphics, are all available from the publisher's Web site.
Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque
Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
