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Global Lorentzian Geometry Second Edition
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Book Synopsis Global Lorentzian Geometry by : John K. Beem
Download or read book Global Lorentzian Geometry written by John K. Beem and published by Routledge. This book was released on 2017-09-29 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.
Book Synopsis Global Lorentzian Geometry by : John K. Beem
Download or read book Global Lorentzian Geometry written by John K. Beem and published by . This book was released on 1996 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Lorentzian Geometry by : John K. Beem
Download or read book Global Lorentzian Geometry written by John K. Beem and published by . This book was released on 1981 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry with Applications to Mechanics and Physics by : Yves Talpaert
Download or read book Differential Geometry with Applications to Mechanics and Physics written by Yves Talpaert and published by CRC Press. This book was released on 2000-09-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential
Book Synopsis Global Optimization Using Interval Analysis by : Eldon Hansen
Download or read book Global Optimization Using Interval Analysis written by Eldon Hansen and published by CRC Press. This book was released on 2003-12-19 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies algorithm construction and increases generality of interval arithmetic. This Second Edition contains an up-to-date discussion of interval methods for solving systems of nonlinear equations and global optimization problems. It expands and improves various aspects of its forerunner and features significant new discussions, such as those on the use of consistency methods to enhance algorithm performance. Provided algorithms are guaranteed to find and bound all solutions to these problems despite bounded errors in data, in approximations, and from use of rounded arithmetic.
Book Synopsis Analytical and Numerical Approaches to Mathematical Relativity by : Jörg Frauendiener
Download or read book Analytical and Numerical Approaches to Mathematical Relativity written by Jörg Frauendiener and published by Springer. This book was released on 2006-03-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress. This book collects surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods.
Book Synopsis Hopf Algebras in Noncommutative Geometry and Physics by : Stefaan Caenepeel
Download or read book Hopf Algebras in Noncommutative Geometry and Physics written by Stefaan Caenepeel and published by CRC Press. This book was released on 2019-05-07 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the
Book Synopsis Handbook of Pseudo-Riemannian Geometry and Supersymmetry by : Vicente Cortés
Download or read book Handbook of Pseudo-Riemannian Geometry and Supersymmetry written by Vicente Cortés and published by European Mathematical Society. This book was released on 2010 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory, and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kahler geometry or generalized geometry.
Book Synopsis Introduction to Lorentz Geometry by : Ivo Terek Couto
Download or read book Introduction to Lorentz Geometry written by Ivo Terek Couto and published by CRC Press. This book was released on 2021-01-05 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644
Book Synopsis Semi-Riemannian Maps and Their Applications by : Eduardo García-Río
Download or read book Semi-Riemannian Maps and Their Applications written by Eduardo García-Río and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called semi-Riemannian maps is introduced. The main purpose of this book is to present results in semi-Riemannian geometry obtained by the existence of such a map between semi-Riemannian manifolds, as well as to encourage the reader to explore these maps. The first three chapters are devoted to the development of fundamental concepts and formulas in semi-Riemannian geometry which are used throughout the work. In Chapters 4 and 5 semi-Riemannian maps and such maps with respect to a semi-Riemannian foliation are studied. Chapter 6 studies the maps from a semi-Riemannian manifold to 1-dimensional semi- Euclidean space. In Chapter 7 some splitting theorems are obtained by using the existence of a semi-Riemannian map. Audience: This volume will be of interest to mathematicians and physicists whose work involves differential geometry, global analysis, or relativity and gravitation.
Book Synopsis Products of Random Variables by : Janos Galambos
Download or read book Products of Random Variables written by Janos Galambos and published by CRC Press. This book was released on 2004-07-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory. It uses entirely probabilistic arguments in actualizing the potential of the asymptotic theory of products of independent random variab
Book Synopsis Measure Theory and Integration by : M.M. Rao
Download or read book Measure Theory and Integration written by M.M. Rao and published by CRC Press. This book was released on 2018-10-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals contains extended discussions on the four basic results of Banach spaces presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.
Book Synopsis Multivalued Linear Operators by : Ronald Cross
Download or read book Multivalued Linear Operators written by Ronald Cross and published by CRC Press. This book was released on 1998-07-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructs a theoretical framework for the study of linear relations and provides underlying concepts, rules, formulae, theorems and techniques. The book compares the inversion, adjoints, completion and closure of various classes of linear operators. It highlights compact and precompact relations.
Book Synopsis Fundamentals of Algebraic Microlocal Analysis by : Goro Kato
Download or read book Fundamentals of Algebraic Microlocal Analysis written by Goro Kato and published by CRC Press. This book was released on 2020-08-11 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."
Book Synopsis KKM Theory and Applications in Nonlinear Analysis by : George Xian-Zhi Yuan
Download or read book KKM Theory and Applications in Nonlinear Analysis written by George Xian-Zhi Yuan and published by CRC Press. This book was released on 1999-02-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.
Download or read book Hyperspaces written by Alejandro Illanes and published by CRC Press. This book was released on 1999-01-04 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents hyperspace fundamentals, offering a basic overview and a foundation for further study. Topics include the topology for hyperspaces, examples of geometric models for hyperspaces, 2x and C(X) for Peano continua X, arcs in hyperspaces, the shape and contractability of hyperspaces, hyperspaces and the fixed point property, and Whitney maps. The text contains examples and exercises throughout, and provides proofs for most results.
Book Synopsis Linear and Integer Programming by : Gerard Sierksma
Download or read book Linear and Integer Programming written by Gerard Sierksma and published by CRC Press. This book was released on 2001-11-01 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Combines the theoretical and practical aspects of linear and integer programming. Provides practical case studies and techniques, including rounding-off, column-generation, game theory, multiobjective optimization, and goal programming, as well as real-world solutions to the transportation and transshipment problem, project scheduling, and decentralization."
