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Current Trends In Mathematics And Physics
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Book Synopsis Current Trends in Mathematics and Physics by : Sukumar Das Adhikari
Download or read book Current Trends in Mathematics and Physics written by Sukumar Das Adhikari and published by . This book was released on 1995 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles gives glimpses of research in several areas of mathematics and physics. The articles contain both expository material and some new results, and should be useful to both beginning graduate students as well as more advanced readers.
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.
Book Synopsis The Mathematical Sciences in 2025 by : National Research Council
Download or read book The Mathematical Sciences in 2025 written by National Research Council and published by National Academies Press. This book was released on 2013-06-13 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.
Book Synopsis New Trends in Physics Education Research by : Salvatore Magazù
Download or read book New Trends in Physics Education Research written by Salvatore Magazù and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Those who operate in physics education frequently ask research operators for suggestions, reference models, updated content and answers for their professional work. So far, the sector has not achieved significant advances specifically in terms of both content updates and methodology approaches. In the special issue, titled New Trends in Physics Education Research, the authors, in addition to presenting some new topics in physics education, take into account the greater relevance that in recent years the Evidence Based Education has taken place. In this framework, the main points of issue include: 1) Dealing with new trends in teaching and learning processes in physics; highlighting new mathematics content for physics courses; 3) giving evidence of the key role played by laboratory activities in physics training courses; and 4) stressing the importance of interdisciplinary approaches as well as scientific culture, communication and dissemination. Physics teaching involves several fields and different disciplines (such as mathematics, philosophy, laboratory activities, etc.) where the same arguments are often explained without clarifying that often there is a close correlation between disciplines. In particular, an integrated theoretical and experimental approach can improve the knowledge of some subjects of physics and mathematics; furthermore, it is also useful to employ a joint approach with laboratory activities, and by doing so enriching topics of meaning. In such cases, mathematics provides the adapt tools for physics and also is able to drive physical intuition; on the other hand, physics and its laboratory activities provide simple access to mathematical topics of complex comprehension. The issue is addressed to academics and schoolteachers as well as researchers in the field of physics education.
Book Synopsis New Trends in Geometry by : Claudio Bartocci
Download or read book New Trends in Geometry written by Claudio Bartocci and published by World Scientific. This book was released on 2011-05-19 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines. Contents:Geometry, Theoretical Physics and Cosmology:The Emergence of Algebraic Geometry in Contemporary Physics (Claudio Bartocci & Ugo Bruzzo)Quantum Gravity and Quantum Geometry (Mauro Carfora)The de Sitter and Anti-de Sitter Universes (Ugo Moschella)Geometry and Topology in Relativistic Cosmology (Jean-Pierre Luminet)The Problem of Space in Neurosciences:Space Coding in the Cerebral Cortex (Leonardo Fogassi)Action and Space Representation (Anna Berti & Alessia Folegatti)The Space Representations in the Brain (Claudio Brozzoli & Alessandro Farnè)The Enactive Constitution of Space (Carrado Sinigaglia & Chiara Brozzo)Geometrical Methods in the Biological Sciences:Causes and Symmetries in Natural Sciences: The Continuum and the Discrete in Mathematical Modelling (Francis Bailly & Giuseppe Longo)Topological Invariants of Geometrical Surfaces and the Protein Folding Problem (Riccardo Broglia)The Geometry of Dense Packing and Biological Structures (Jean-François Sadoc)When Topology and Biology Meet ‘For Life’: The Interactions Between Topological Forms and Biological Functions (Luciano Boi) Readership: Students and researchers in mathematical sciences at graduate level. Keywords:Geometrical Models;Spatial Perception;Mirror Neurons;Quantum Field Theory;String TheoryKey Features:Multidisciplinary approachDistinguished contributors working in different research areasNovel perspectives on the interactions between mathematics and biology
Book Synopsis New Trends in Mathematical Physics by : Paolo Fergola
Download or read book New Trends in Mathematical Physics written by Paolo Fergola and published by World Scientific. This book was released on 2005-01-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume widely surveys new problems, methods and techniques in mathematical physics. The 22 original papers featured are of great interest to various areas of applied mathematics. They are presented in honour of Professor Salvatore Rionero 70th birthday. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:A Time Dependent Inverse Problem in Photon Transport (A Belleni-Morante)New Applications of a Versatile Liapunov Functional (J N Flavin)Thermodynamic Limit for Spin Glasses (S Graffi)Stabilizing Effects in Fluid Dynamics Problems (G Mulone)An Alternative Kinematics for Multilattices (M Pitteri)On Contact Powers and Null Lagrangian Fluxes (P P Guidugli & G V Caffarelli)Control Aspects in Gas Dynamics (P Renno)A Functional Framework for Applied Continuum Mechanics (G Romano & M Diaco)Exchange of Stabilities in Porous Media and Penetrative Convection Effects (B Straughan)Effects of Adaptation on Competition among Species (D Lacitignola & C Tebaldi)and other papers Readership: Graduate students, academics and researchers in mathematical physics. Keywords:Stability;Waves Propagation;Biomathematics;Fluid Mechanics;Thermodynamics;Continuum Mechanics;Celestial Mechanics;Porous Media;Partial Differential Equations
Book Synopsis Topics in Contemporary Mathematical Physics by : Kai S Lam
Download or read book Topics in Contemporary Mathematical Physics written by Kai S Lam and published by World Scientific Publishing Company. This book was released on 2003-06-06 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; (3) topology and differential geometry. The following are noteworthy features of this book: the style of exposition is a fusion of those common in the standard physics and mathematics literatures; the level of exposition varies from quite elementary to moderately advanced, so that the book is of interest to a wide audience; despite the diversity of the topics covered, there is a strong degree of thematic unity; much care is devoted to detailed cross-referencing so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.
Book Synopsis Mathematics for Physicists by : Philippe Dennery
Download or read book Mathematics for Physicists written by Philippe Dennery and published by Courier Corporation. This book was released on 2012-06-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.
Book Synopsis Advances in Quantum Mechanics by : Alessandro Michelangeli
Download or read book Advances in Quantum Mechanics written by Alessandro Michelangeli and published by Springer. This book was released on 2017-08-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrödinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others. Most of contributors are international leading experts or respected young researchers in mathematical physics, PDE, and operator theory. All their material is the fruit of recent studies that have already become a reference in the community. Offering a unified perspective of the mathematics of quantum mechanics, it is a valuable resource for researchers in the field.
Book Synopsis Analytic Trends in Mathematical Physics by : Houssam M.A. Abdul Rahman
Download or read book Analytic Trends in Mathematical Physics written by Houssam M.A. Abdul Rahman and published by . This book was released on 1920 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Arizona School of Analysis and Mathematical Physics, held from March 5-9, 2018, at the University of Arizona, Tucson, Arizona. A main goal of this school was to introduce graduate students and postdocs to exciting topics of current research that are both influenced by physical intuition and require the use of cutting-edge mathematics. The articles in this volume reflect recent progress and innovative techniques developed within mathematical physics. Two works investigate spectral gaps of quantum spin systems. Specifically, Abdul-Rahman, Lemm, Lucia,
Book Synopsis Current Trends in International Fusion Research by : Emilio Panarella
Download or read book Current Trends in International Fusion Research written by Emilio Panarella and published by NRC Research Press. This book was released on 2009 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences by : Bourama Toni
Download or read book New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences written by Bourama Toni and published by Springer. This book was released on 2017-07-05 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.
Book Synopsis New Trends in Quantum Structures by : Anatolij Dvurecenskij
Download or read book New Trends in Quantum Structures written by Anatolij Dvurecenskij and published by Springer. This book was released on 2014-03-14 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.
Book Synopsis Current Trends in Operator Theory and its Applications by : Joseph A. Ball
Download or read book Current Trends in Operator Theory and its Applications written by Joseph A. Ball and published by Birkhäuser. This book was released on 2012-12-06 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.
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.
Book Synopsis Methods of Mathematical Physics by : Alexey N. Karapetyants
Download or read book Methods of Mathematical Physics written by Alexey N. Karapetyants and published by Springer Nature. This book was released on 2022-11-17 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses. The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series. Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
