Category Archives: Mathematical Physics

Detonation: Theory and Experiment

Posted on February 25, 2011 by singleton

Comprehensive review of detonation explores the “simple theory” and experimental tests of the theory; flow in a reactive medium; steady detonation; the nonsteady solution; and the structure of the detonation front. Many simple cases are worked out for illustration.

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Differential Geometry and Lie Groups for Physicists

Posted on February 25, 2011 by singleton

Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This 2006 textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions … Continue reading →

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Non-Commutative Geometry: A Perspective on String and Field Theories

Posted on February 26, 2010 by singleton

A systematic and comprehensive account of developments in non-commutative geometry, at a pedagogical level. It does not go into the details of rigorous (advanced level) mathematical formulation of non-commutative geometry; rather, it restricts itself to the domain of strings and … Continue reading →

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Finite Element Methods and Their Applications (Scientific Computation)

Posted on February 26, 2010 by singleton

Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive … Continue reading →

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Time-Dependent Density Functional Theory (Lecture Notes in Physics)

Posted on February 26, 2010 by singleton

Time-dependent density functional theory (TDDFT) is based on a set of ideas and theorems quite distinct from those governing ground-state DFT, but emphasizing similar techniques. Today, the use of TDDFT is rapidly growing in many areas of physics, chemistry and … Continue reading →

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Quantum Gravity, Generalized Theory of Gravitation and Superstring Theory-Based Unification

Posted on February 26, 2010 by singleton

Held December 16-919, 1999, this proceedings is derived from the Global Foundation Inc.’s Orbis Scientiae 1999. Topics include: cosmological parameters, unifying elementary particle physics, cosmology, superstrings, and black holes.

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A Primer in Density Functional Theory (Lecture Notes in Physics)

Posted on February 26, 2010 by singleton

Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems. Originally applied tocompute properties of atoms and simple molecules, DFT has quickly become a work horse for more complex applications in the … Continue reading →

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Geometric and Topological Methods for Quantum Field Theory

Posted on February 26, 2010 by singleton

Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an … Continue reading →

Posted in Format, Geometry, Mathematical Physics, Mathematics, Physics, Quantum Theory, Waves & Wave Mechanics, pdf | Leave a comment

Polytropes: Applications in Astrophysics and Related Fields (Astrophysics and Space Science Library)

Posted on February 26, 2010 by singleton

This book provides the most complete academic treatment on the application of polytropes ever published. It is primarily intended for students and scientists working in Astrophysics and related fields. It provides a full overview of past and present research results … Continue reading →

Posted in Astronomy, Astrophysics & Space Science, Format, Mathematical Physics, Physical Chemistry, pdf | Leave a comment

Topics in Gravitational Dynamics: Solar, Extra-Solar and Galactic Systems (Lecture Notes in Physics)

Posted on February 26, 2010 by singleton

This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study many new extra-solar planetary systems have spurred new developments in … Continue reading →

Posted in Astronomy, Astrophysics & Space Science, Format, Mathematical Physics, pdf | Leave a comment