From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.
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The text covers the basic concepts of modern string theory. This includes covariant and light-cone quantisation of bosonic and fermionic strings, geometry and topology of string world-sheets, vertex operators and string scattering amplitudes, world-sheet and space-time supersymmetries, elements of conformal field theory, Green-Schwarz superstrings, strings in curved backgrounds, low-energy effective actions, D-brane physics.
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Posted by: ranger - 04-23-2011, 02:33 AM - Forum: General Books
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Statistical Physics I
Author: Eric Poisson | Size: 730 KB | Format:PDF | Publisher: University of Guelph | Year: 200 | pages: 97
From the table of contents: Thermodynamic systems and the zeroth law; Transformations and the first law; Heat engines and the second law; Entropy and the third law; Thermodynamic potentials; Thermodynamics of magnetic systems.
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Posted by: ranger - 04-23-2011, 02:16 AM - Forum: General Books
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Statistical Physics II
Author: Eric Poisson | Size: 800 KB | Format:PDF | Publisher: University of Guelph | Year: 2009 | pages: 113
From the table of contents: Review of thermodynamics; Statistical mechanics of isolated systems; Statistical mechanics of interacting systems; Information theory; Paramagnetism; Quantum statistics of ideal gases; Black-body radiation.
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Posted by: ranger - 04-23-2011, 02:11 AM - Forum: General Books
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Introduction to Differential Topology, de Rham Theory and Morse Theory
Author: Michael Muger | Size: 550 KB | Format:PDF | Publisher: Radboud University | Year: 2005 | pages: 80
Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; Perspectives.
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From the table of contents: Basic Concepts (The concept of a fiber bundle, Coverings, Morphisms...); Bundles and Cocycles; Cohomology of Lie Algebras; Smooth G-valued Functions; Connections on Principal Bundles; Curvature; Perspectives.
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Author: A.B. Clemens | Size: 13.1 MB | Format:PDF | Publisher: International TextBook Company | Year: 1906 | pages: 367
The book is written clearly and in the simplest language possible, so as to make it readily understood by all students. Necessary technical expressions are clearly explained when introduced. Every effort has been made to give students practical and accurate information in clear and concise form.
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Posted by: ranger - 04-23-2011, 01:45 AM - Forum: General Books
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Differential Topology and Morse Theory
Author: Dirk Schuetz | Size: 600 KB | Format:PDF | Publisher: University of Sheffield | Year: 2009 | pages: 96
These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.
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Quantum Physics, Relativity, and Complex Spacetime
Author: Gerald Kaiser | Size: 950 KB | Format:PDF | Publisher: University of Massachusetts at Lowell | Year: 2003 | pages: 252 | ISBN: 0444884653
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime, and it is shown that this complexification has a solid physical interpretation as an extended phase space. The extended fields can be said to be realistic wavelet transforms of the original fields. A new, algebraic theory of wavelets is developed.
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Author: G. Jungman | Size: 333 KB | Format:PDF | Publisher: Los Alamos National Laboratory | Year: 1999 | pages: 60
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.
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