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Structure Of The Standard Modules For The Affine Lie Algebra A Subscript 1 Superscript1
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Book Synopsis Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$ by : James Lepowsky
Download or read book Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$ written by James Lepowsky and published by American Mathematical Soc.. This book was released on 1985 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The affine Kac-Moody algebra $A_1 DEGREES{(1)}$ has served as a source of ideas in the representation theory of infinite-dimensional affine Lie algebras. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1 DEGREES{(1)}$-modules in the homogeneou
Book Synopsis On the Functional Equations Satisfied by Eisenstein Series by : Robert P. Langlands
Download or read book On the Functional Equations Satisfied by Eisenstein Series written by Robert P. Langlands and published by Springer. This book was released on 2006-11-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Invitation to General Algebra and Universal Constructions by : George M. Bergman
Download or read book An Invitation to General Algebra and Universal Constructions written by George M. Bergman and published by Springer. This book was released on 2015-02-05 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Book Synopsis Algebra, Arithmetic, and Geometry by : Yuri Tschinkel
Download or read book Algebra, Arithmetic, and Geometry written by Yuri Tschinkel and published by Springer Science & Business Media. This book was released on 2010-04-11 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.
Book Synopsis Books in Series, 1876-1949 by : R.R. Bowker Company
Download or read book Books in Series, 1876-1949 written by R.R. Bowker Company and published by New York : R.R. Bowker. This book was released on 1982 with total page 1390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithmic Number Theory by : Claus Fieker
Download or read book Algorithmic Number Theory written by Claus Fieker and published by Springer Science & Business Media. This book was released on 2002-06-26 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-organized criticality (SOC) has become a magic word in various scientific disciplines; it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Book Synopsis Monoidal Categories and Topological Field Theory by : Vladimir Turaev
Download or read book Monoidal Categories and Topological Field Theory written by Vladimir Turaev and published by Birkhäuser. This book was released on 2017-06-28 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research. Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of Müger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the Reshetikhin-Turaev surgery graph TQFT derived from the center of that category. The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.
Book Synopsis Computational Contact Mechanics by : Peter Wriggers
Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.
Book Synopsis Quantum Fields and Strings: A Course for Mathematicians by : Pierre Deligne
Download or read book Quantum Fields and Strings: A Course for Mathematicians written by Pierre Deligne and published by American Mathematical Society. This book was released on 1999-10-25 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.
Download or read book On Three Levels written by Mark Fannes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.
Book Synopsis Integrated Computer-Aided Design in Automotive Development by : Hirz Mario
Download or read book Integrated Computer-Aided Design in Automotive Development written by Hirz Mario and published by Springer Science & Business Media. This book was released on 2013-06-22 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The automotive industry faces constant pressure to reduce development costs and time while still increasing vehicle quality. To meet this challenge, engineers and researchers in both science and industry are developing effective strategies and flexible tools by enhancing and further integrating powerful, computer-aided design technology. This book provides a valuable overview of the development tools and methods of today and tomorrow. It is targeted not only towards professional project and design engineers, but also to students and to anyone who is interested in state-of-the-art computer-aided development. The book begins with an overview of automotive development processes and the principles of virtual product development. Focusing on computer-aided design, a comprehensive outline of the fundamentals of geometry representation provides a deeper insight into the mathematical techniques used to describe and model geometrical elements. The book then explores the link between the demands of integrated design processes and efficient data management. Within automotive development, the management of knowledge and engineering data plays a crucial role. Some selected representative applications provide insight into the complex interactions between computer-aided design, knowledge-based engineering and data management and highlight some of the important methods currently emerging in the field.
Book Synopsis Kinematic Systems in Geodesy, Surveying, and Remote Sensing by : Klaus-Peter Schwarz
Download or read book Kinematic Systems in Geodesy, Surveying, and Remote Sensing written by Klaus-Peter Schwarz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinematic Systems in Geodesy, Surveying, and Remote Sensing provides a state-of-the-art discussion on the use of the Global Positioning System (GPS) in combination with Inertial Navigation Systems (INS) for detailed sensing of the Earth's surface. Divided into two parts, the book first discusses GPS/INS with respect to theory and modelling, equipment trends, estimation methods and quality control, algorithms, and software trends. It then describes the applications of these kinematic systems to positioning and navigation, modelling and measurement of gravity, gravity gradiometry, and altitude. This collection of 63 presentations documents the symposium of the same name held in Banff, Alberta, September 1990. It is the sixth volume of the International Association of Geodesy Symposia series published by Springer-Verlag New York.
Book Synopsis Five Lectures on Supersymmetry by : Daniel S. Freed
Download or read book Five Lectures on Supersymmetry written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas.
Book Synopsis OFDM for Optical Communications by : William Shieh
Download or read book OFDM for Optical Communications written by William Shieh and published by Academic Press. This book was released on 2009-09-18 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: - The first book on optical OFDM by the leading pioneers in the field - The only book to cover error correction codes for optical OFDM - Gives applications of OFDM to free-space communications, optical access networks, and metro and log haul transports show optical OFDM can be implemented - Contains introductions to signal processing for optical engineers and optical communication fundamentals for wireless engineers This book gives a coherent and comprehensive introduction to the fundamentals of OFDM signal processing, with a distinctive focus on its broad range of applications. It evaluates the architecture, design and performance of a number of OFDM variations, discusses coded OFDM, and gives a detailed study of error correction codes for access networks, 100 Gb/s Ethernet and future optical networks. The emerging applications of optical OFDM, including single-mode fiber transmission, multimode fiber transmission, free space optical systems, and optical access networks are examined, with particular attention paid to passive optical networks, radio-over-fiber, WiMAX and UWB communications. Written by two of the leading contributors to the field, this book will be a unique reference for optical communications engineers and scientists. Students, technical managers and telecom executives seeking to understand this new technology for future-generation optical networks will find the book invaluable. William Shieh is an associate professor and reader in the electrical and electronic engineering department, The University of Melbourne, Australia. He received his M.S. degree in electrical engineering and Ph.D. degree in physics both from University of Southern California. Ivan Djordjevic is an Assistant Professor of Electrical and Computer Engineering at the University of Arizona, Tucson, where he directs the Optical Communications Systems Laboratory (OCSL). His current research interests include optical networks, error control coding, constrained coding, coded modulation, turbo equalization, OFDM applications, and quantum error correction. "This wonderful book is the first one to address the rapidly emerging optical OFDM field. Written by two leading researchers in the field, the book is structured to comprehensively cover any optical OFDM aspect one could possibly think of, from the most fundamental to the most specialized. The book adopts a coherent line of presentation, while striking a thoughtful balance between the various topics, gradually developing the optical-physics and communication-theoretic concepts required for deep comprehension of the topic, eventually treating the multiple optical OFDM methods, variations and applications. In my view this book will remain relevant for many years to come, and will be increasingly accessed by graduate students, accomplished researchers as well as telecommunication engineers and managers keen to attain a perspective on the emerging role of OFDM in the evolution of photonic networks." -- Prof. Moshe Nazarathy, EE Dept., Technion, Israel Institute of Technology - The first book on optical OFDM by the leading pioneers in the field - The only book to cover error correction codes for optical OFDM - Applications of OFDM to free-space communications, optical access networks, and metro and log haul transports show optical OFDM can be implemented - An introduction to signal processing for optical communications - An introduction to optical communication fundamentals for the wireless engineer
Book Synopsis Combinatorics of Coxeter Groups by : Anders Bjorner
Download or read book Combinatorics of Coxeter Groups written by Anders Bjorner and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups
Book Synopsis Tricks of the 3D Game Programming Gurus by : André LaMothe
Download or read book Tricks of the 3D Game Programming Gurus written by André LaMothe and published by Sams Publishing. This book was released on 2003 with total page 1730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today is the greatest time in history to be in the game business. We now have the technology to create games that look real! Sony's Playstation II, XBOX, and Game Cube are cool! But, all this technology isn't easy or trivial to understand - it takes really hard work and lots of Red Bull. The difficulty level of game programming has definitely been cranked up these days in relation to the skill set needed to make games. Andre LaMothe's follow-up book to Tricks of the Windows Game Programming Gurus is the one to read for the latest in 3D game programming. When readers are finished with Tricks of the 3D Game Programming Gurus-Advanced 3D Graphics and Rasterization, they will be able to create a full 3D texture-mapped, lit video game for the PC with a software rasterizer they can write themselves. Moreover, they will understand the underlying principles of 3D graphics and be able to better understand and utilize 3D hardware today and in the future.
Book Synopsis DNA Computing and Molecular Programming by : David Doty
Download or read book DNA Computing and Molecular Programming written by David Doty and published by . This book was released on 2018 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 24th International Conference on DNA Computing and Molecular Programming, DNA 24, held in Jinan, China, in October 2018. The 12 full papers presented were carefully selected from 14 submissions. Research in DNA computing aims to draw together mathematics, computer science, physics, chemistry, biology, and nanotechnology to address the analysis, design, and synthesis of information-based molecular systems. The papers were sought in all areas related to biomolecular computing, including: algorithms and models for computation on biomolecular systems; computational processes in vitro and in vivo; molecular switches, gates, devices, and circuits; molecular folding and self-assembly of nanostructures; analysis and theoretical models of laboratory techniques; molecular motors and molecular robotics; information storage; studies of fault tolerance and error correction; software tools for analysis, simulation, and design; synthetic biology and in vitro evolution; and applications in engineering, physics, chemistry, biology, and medicine.
