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Complexification
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Book Synopsis Lie Groups and Lie Algebras III by : A.L. Onishchik
Download or read book Lie Groups and Lie Algebras III written by A.L. Onishchik and published by Springer Science & Business Media. This book was released on 1994-07-12 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and modern account of the structure and classification of Lie groups and finite-dimensional Lie algebras, by internationally known specialists in the field. This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics.
Book Synopsis Compact Lie Groups and Their Representations by : Dmitriĭ Petrovich Zhelobenko
Download or read book Compact Lie Groups and Their Representations written by Dmitriĭ Petrovich Zhelobenko and published by American Mathematical Soc.. This book was released on 1973-01-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complexification written by John L. Casti and published by Harper Perennial. This book was released on 1995-04-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renowned mathematician shows how the "science of surprise" can help explain some of the most inexplicable phenomena in science, nature, the arts, the economy, and more.
Book Synopsis Introduction to Lie groups and Lie algebras by :
Download or read book Introduction to Lie groups and Lie algebras written by and published by Academic Press. This book was released on 1973-04-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Lie groups and Lie algebras
Author :Vladimir I. Arnold Publisher :Springer Science & Business Media ISBN 13 :9783540548133 Total Pages :346 pages Book Rating :4.5/5 (481 download)
Book Synopsis Ordinary Differential Equations by : Vladimir I. Arnold
Download or read book Ordinary Differential Equations written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 1992-05-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW
Book Synopsis Clifford Algebras and Spinor Structures by : Rafal Ablamowicz
Download or read book Clifford Algebras and Spinor Structures written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 1995-02-28 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces mathematicians and physicists to a crossing point of algebra, physics, differential geometry and complex analysis. The book follows the French tradition of Cartan, Chevalley and Crumeyrolle and summarizes Crumeyrolle's own work on exterior algebra and spinor structures. The depth and breadth of Crumeyrolle's research interests and influence in the field is investigated in a number of articles. Of interest to physicists is the modern presentation of Crumeyrolle's approach to Weyl spinors, and to his spinoriality groups, which are formulated with spinor operators of Kustaanheimo and Hestenes. The Dirac equation and Dirac operator are studied both from the complex analytic and differential geometric points of view, in the modern sense of Ryan and Trautman. For mathematicians and mathematical physicists whose research involves algebra, quantum mechanics and differential geometry.
Author :Dmitriĭ Vladimirovich Alekseevskiĭ Publisher :European Mathematical Society ISBN 13 :9783037190517 Total Pages :556 pages Book Rating :4.1/5 (95 download)
Book Synopsis Recent Developments in Pseudo-Riemannian Geometry by : Dmitriĭ Vladimirovich Alekseevskiĭ
Download or read book Recent Developments in Pseudo-Riemannian Geometry written by Dmitriĭ Vladimirovich Alekseevskiĭ and published by European Mathematical Society. This book was released on 2008 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kahler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian geometry The causal hierarchy of spacetimes Geodesics in pseudo-Riemannian manifolds Lorentzian symmetric spaces in supergravity Generalized geometries in supergravity Einstein metrics with Killing leaves The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of the art in the field as well as open problems, which can stimulate further research.
Book Synopsis Complexity and Sustainability by : Jennifer Wells
Download or read book Complexity and Sustainability written by Jennifer Wells and published by Routledge. This book was released on 2013 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction -- Elucidating complexity theories -- Complexity in the natural sciences -- Complexity in social theory -- Towards transdisciplinarity -- Complexity in philosophy: complexification and the limits to knowledge -- Complexity in ethics -- Earth in the anthropocene -- Complexity and climate change -- American dreams, ecological nightmares and new visions -- Complexity and sustainability: wicked problems, gordian knots and synergistic solutions -- Conclusion.
Book Synopsis Memory Evolutive Systems; Hierarchy, Emergence, Cognition by : A C Ehresmann
Download or read book Memory Evolutive Systems; Hierarchy, Emergence, Cognition written by A C Ehresmann and published by Elsevier. This book was released on 2007-05-25 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries. - Comprehensive and comprehensible coverage of Memory Evolutive System - Written by the developers of the Memory Evolutive Systems - Designed to explore the common language between sciences
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Book Synopsis Advances in Electrical Engineering and Computational Science by : Len Gelman
Download or read book Advances in Electrical Engineering and Computational Science written by Len Gelman and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Electrical Engineering and Computational Science contains sixty-one revised and extended research articles written by prominent researchers participating in the conference. Topics covered include Control Engineering, Network Management, Wireless Networks, Biotechnology, Signal Processing, Computational Intelligence, Computational Statistics, Internet Computing, High Performance Computing, and industrial applications. Advances in Electrical Engineering and Computational Science will offer the state of art of tremendous advances in electrical engineering and computational science and also serve as an excellent reference work for researchers and graduate students working with/on electrical engineering and computational science.
Book Synopsis Future-oriented science education for agency and sustainable development by : Antti Laherto
Download or read book Future-oriented science education for agency and sustainable development written by Antti Laherto and published by Frontiers Media SA. This book was released on 2023-03-31 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Questions of Mathematical Physics and Analysis by : I. V. Volovich
Download or read book Selected Questions of Mathematical Physics and Analysis written by I. V. Volovich and published by American Mathematical Soc.. This book was released on 1995 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection, dedicated to the 70th anniversary of the birth of VasiliiSergeevich Vladimirov, consists of original papers on various branches of analysis and mathematical physics. It presents work relating to the following topics:--the theory of generalized functions--complex and $p$-adic analysis--mathematical questions of quantum field theory and statistical mechanics--computational mathematics and differential equations.
Book Synopsis The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. by : Rodney J. Morris
Download or read book The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. written by Rodney J. Morris and published by Rodney J. Morris. This book was released on 2023-08-25 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given that everything in the world is relative, contemporary societal organization is based on social absolutes that are considered self-evident. This type of system invariably introduces central polarization into society, leading to class divisions, with transitions between the classes becoming increasingly difficult as polarization intensifies. Throughout human history, various forms of centrally polarized societies have been established, referred to by different names in different eras, such as slavery, feudalism, capitalism, or socialism. However, these societies can only endure as long as transitions between their social strata remain possible. Once these transitions become unattainable, the society inevitably crumbles. The escalating central polarization of society and its subsequent division become impediments to progress and development and can only be overcome through decentralization. Historically, transitions from one societal structure to another have resulted in a temporary decentralization of society. Nevertheless, the new societal structure invariably deteriorated due to the emergence of fresh central polarization, albeit founded on different polarization criteria. This book offers a deep exploration of the phenomena of relativity, complexity, and complexification, proposing a new approach to the critical analysis of capitalism as a societal structure. It elaborates on the foundational principles of distributed society as the only sustainable alternative to centrally polarized society.
Book Synopsis Symplectic Geometry by : Dietmar Salamon
Download or read book Symplectic Geometry written by Dietmar Salamon and published by Cambridge University Press. This book was released on 1993 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990.
Book Synopsis From Geometry to Quantum Mechanics by : Yoshiaki Maeda
Download or read book From Geometry to Quantum Mechanics written by Yoshiaki Maeda and published by Springer Science & Business Media. This book was released on 2007-04-22 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Invited articles in differential geometry and mathematical physics in honor of Hideki Omori * Focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry * Will appeal to graduate students in mathematics and quantum mechanics; also a reference
Book Synopsis Algebra I by : Alexey L. Gorodentsev
Download or read book Algebra I written by Alexey L. Gorodentsev and published by Springer. This book was released on 2016-11-24 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first volume of an intensive “Russian-style” two-year graduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
