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  Introduction to Partial Differential Equations
Posted by: ranger - 04-23-2011, 03:19 AM - Forum: Mathematics (Engineering and Scientific) - No Replies


Introduction to Partial Differential Equations

Author: John Douglas Moore | Size: 2.7 MB | Format: PDF | Publisher: UCSB | Year: 2003 | pages: 169


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Our goal here is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. In particular, we will present some of the elegant mathematics that can be used to describe the vibrating circular membrane.

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  A Course in Riemannian Geometry
Posted by: ranger - 04-23-2011, 02:49 AM - Forum: General Books - No Replies


A Course in Riemannian Geometry

Author: David R. Wilkins | Size: 370 KB | Format: PDF | Publisher: Trinity College, Dublin | Year: 2005 | pages: 72


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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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  Lectures on String Theory
Posted by: ranger - 04-23-2011, 02:45 AM - Forum: General Books - No Replies


Lectures on String Theory

Author: Gleb Arutyunov | Size: 900 KB | Format: PDF | Publisher: Utrecht University | Year: 2009 | pages: 142


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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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  Statistical Physics I
Posted by: ranger - 04-23-2011, 02:33 AM - Forum: General Books - No Replies

Statistical Physics I

Author: Eric Poisson | Size: 730 KB | Format: PDF | Publisher: University of Guelph | Year: 200 | pages: 97


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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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  Statistical Physics II
Posted by: ranger - 04-23-2011, 02:16 AM - Forum: General Books - No Replies


Statistical Physics II

Author: Eric Poisson | Size: 800 KB | Format: PDF | Publisher: University of Guelph | Year: 2009 | pages: 113


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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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  Introduction to Differential Topology, de Rham Theory and Morse Theory
Posted by: ranger - 04-23-2011, 02:11 AM - Forum: General Books - No Replies


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


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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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  Differential Topology of Fiber Bundles
Posted by: ranger - 04-23-2011, 02:06 AM - Forum: General Books - No Replies


Differential Topology of Fiber Bundles

Author: Karl-Hermann Neeb | Size: 600 KB | Format: PDF | Publisher: FAU Erlangen-Nuernberg | Year: 2010 | pages: 146


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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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  Applied Mechanics and Strength of Materials
Posted by: ranger - 04-23-2011, 02:02 AM - Forum: Mechanics & Material Technology (Elasticity, Plasticity and Nonlinearity) - No Replies


Applied Mechanics and Strength of Materials

Author: A.B. Clemens | Size: 13.1 MB | Format: PDF | Publisher: International TextBook Company | Year: 1906 | pages: 367


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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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  Differential Topology and Morse Theory
Posted by: ranger - 04-23-2011, 01:45 AM - Forum: General Books - No Replies


Differential Topology and Morse Theory

Author: Dirk Schuetz | Size: 600 KB | Format: PDF | Publisher: University of Sheffield | Year: 2009 | pages: 96


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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
Posted by: ranger - 04-23-2011, 01:35 AM - Forum: Mathematics (Engineering and Scientific) - Replies (1)


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


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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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