Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields
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Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields by Roger Penrose,Wolfgang Rindler Book Summary:
Volume 1 introduces and systematically develops the calculus in a first detailed exposition of this technique which provides shortcuts for some very tedious calculations.
Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry by Roger Penrose,Wolfgang Rindler Book Summary:
Spinor and Twistor Methods in Space-Time Geometry introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. Twistors have, in recent years, attracted increasing attention as a mathematical tool and as a means of gaining new insights into the structure of physical laws. This volume also includes a comprehensive treatment of the conformal approach to space-time infinity with results on general-relativistic mass and angular momentum, a detailed spinorial classification of the full space-time curvature tensor, and an account of the geometry of null geodesics.
String Theory: Volume 1, An Introduction to the Bosonic String by Joseph Polchinski Book Summary:
String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.
String Theory: Volume 2, Superstring Theory and Beyond by Joseph Polchinski Book Summary:
String Theory, first published in 1998, comprises two volumes which provide a comprehensive and pedagogic account of the subject. Volume 2 begins with an introduction to supersymmetric string theories and presents the important advances of recent years. The first three chapters introduce the type I, type II, and heterototic superstring theories and their interactions. The next two chapters present important recent discoveries about strongly coupled strings, beginning with a detailed treatment of D-branes and their dynamics, and covering string duality, M-theory, and black hole entropy. The final chapters are concerned with four-dimensional string theories, showing how some of the simplest string models connect with previous ideas for unifying the Standard Model. They collect many important results on world-sheet and spacetime symmetries. An appendix summarizes the necessary background on fermions and supersymmetry. An essential text and reference for graduate students and researchers interested in superstring theory.
Causality, Measurement Theory and the Differentiable Structure of Space-Time by R. N. Sen Book Summary:
Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.
The Emperor's New Mind by Roger Penrose Book Summary:
For many decades, the proponents of `artificial intelligence' have maintained that computers will soon be able to do everything that a human can do. In his bestselling work of popular science, Sir Roger Penrose takes us on a fascinating roller-coaster ride through the basic principles of physics, cosmology, mathematics, and philosophy to show that human thinking can never be emulated by a machine.
Twistor Geometry and Field Theory by R. S. Ward,Raymond O. Wells, Jr Book Summary:
This book deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, algebraic topology and results in a new perspective on the properties of space and time. The authors firstly develop the mathematical background, then go on to discuss Yang-Mills fields and gravitational fields in classical language, and in the final part a number of field-theoretic problems are solved. Issued here for the first time in paperback, this self-contained volume should be of use to graduate mathematicians and physicists and research workers in theoretical physics, relativity, and cosmology.
The Theory of Spinors by Élie Cartan Book Summary:
Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.
An Introduction to Twistor Theory by S. A. Huggett,None,K. P. Tod Book Summary:
Evolving from graduate lectures given in London and Oxford, this introduction to twistor theory and modern geometrical approaches to space-time structure will provide graduate students with the basics of twistor theory, presupposing some knowledge of special relativity and differenttial geometry.
Advanced General Relativity by John Stewart,John M. Stewart Book Summary:
A self-contained introduction to advanced general relativity.
The Geometry of Minkowski Spacetime by Gregory L. Naber Book Summary:
This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; an in-depth introduction to the theory of spinors; and a classification of electromagnetic fields in both tensor and spinor form. Appendixes introduce a topology for Minkowski spacetime and discuss Dirac's famous "Scissors Problem." Appropriate for graduate-level courses, this text presumes only a knowledge of linear algebra and elementary point-set topology. 1992 edition. 43 figures.
Shadows of the Mind by Roger Penrose Book Summary:
Presenting a look at the human mind's capacity while criticizing artificial intelligence, the author makes suggestions about classical and quantum physics and the role of microtubules
Recent advances in general relativity by Allen Ira Janis Book Summary:
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Instantons and Four-Manifolds by Daniel S. Freed,Karen K. Uhlenbeck Book Summary:
From the reviews of the first edition: "This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological study of the differentiable structure of compact four-dimensional manifolds, compact spaces locally modeled on the world in which we live and operate... The book is filled with insightful remarks, proofs, and contributions that have never before appeared in print. For anyone attempting to understand the work of Donaldson and the applications of gauge theories to four-dimensional topology, the book is a must." #Science#1 "I would strongly advise the graduate student or working mathematician who wishes to learn the analytic aspects of this subject to begin with Freed and Uhlenbeck's book." #Bulletin of the American Mathematical Society#2
The Mathematical Theory of Black Holes by Subrahmanyan Chandrasekhar Book Summary:
"The theory of black holes is the most simple consequence of Einstein's relativity theory. Dealing with relativity theory, this book details one of the most beautiful areas of mathematical physics; the theory of black holes. It represents a personal testament to the work of the author, who spent several years working-out the subject matter." --WorldCat.
Proceedings by N.A Book Summary:
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The Interface of mathematics and particle physics by Daniel G. Quillen,Graeme Segal,Sheung Tsun Tsou,Institute of Mathematics and Its Applications Book Summary:
This comprehensive volume provides an exciting and up-to-date survey of the current research and advances in particle physics, with an emphasis on the crucial interaction between theoretical physics and mathematics. Internationally known experts including A. Connes, R. Penrose, Peter Goddard, and Alice Rogers give readers the latest information on quantum groups, instantons in Yang-Mills theories, conformal algebras, gauge theories, cyclic cohomology, rational conformal field theories, string theory, and twistors. Their contributions show how questions in physics have stimulated important advances in mathematics, which in turn have facilitated further theoretical progress in physics. The wide scope of the book makes it an invaluable collection for anyone working in either field.
J.C. Maxwell, the Sequicentennial Symposium by Melvyn Stuart Berger Book Summary:
Download or read J.C. Maxwell, the Sequicentennial Symposium book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).
Twelfth Texas Symposium on Relativistic Astrophysics by Mario Livio,Giora Shaviv Book Summary:
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