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the entire directory
only in Physics/Mathematical_Physics
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Science
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Physics
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Mathematical Physics
(190)
Calculus of Variations
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Differential Equations
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(140)
Fluid Mechanics and Dynamics
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(140)
Geometric Algebra
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(10)
Statistical Mechanics
(18)
Topological Quantum Field Theory
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Courses
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Science: Math: Applications
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Science: Math: Topology
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(UK) North British Mathematical Physics Seminar
 Four seminars are held in rotation every year.
Commutative Hypercomplex Mathematics
 A commutative algebra, function theory, and system of analysis is developed for one 4D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables.
Complex Geometry of Nature and General Relativity
 A paper by Giampiero Esposito attempting to give a selfcontained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
Differential Equations and Oscillations
 Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations.
Dimensional Analysis
 A simple review of the powerful technique of dimensional analysis.
Doing Physics with Quaternions
 A research effort to see how much of standard physics can be done using only quaternions, a 4dimensional division algebra.
Euclidean Geometric Transforms for Physics
 A new method of correlating physics formulas to derive one formula from a related formula using Euclidean geometry to represent the interrelationship of physics formulas.
Five Lectures on Soliton Equations
 A selfcontained review by Edward Frenkel of a new approach to soliton equations of KdV type.
Geometry and Duality
 Lecture notes from the ITP miniprogram on Geometry and Duality
Holomorphic Methods in Mathematical Physics
 This set of lecture notes by Brian C. Hall gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the SegalBargmann space and the canonical commutation relations.
Homological Methods in Mathematical Physics
 These lecture notes by Joseph Krasil'shchik and Alexander Verbovetsky are a systematic and selfcontained exposition of the cohomological theories naturally related to partial differential equations.
Inexplicable Secrets of Creation
 Relationships between number theory and physics.
An Introduction to Noncommutative Geometry
 A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
Lectures on Orientifolds and Duality
 Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
Local Quantum Physics Crossroads
 An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
Mathematical Physics
 Numerical codes are provided for a variety of problems. From the University of Puerto Rico at Humacao.
Non Commutative Geometry
 Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
Non Deterministic Approaches
 NDAPortal.com is a free online repository and community dealing with uncertainty and variability in applied mechanics and engineering that explains the application of probabilistic and possibilistic methods in engineering projects.
On Mathematics, Mathematical Physics, Truth and Reality
 How mathematics exists in the universe and is related to physical reality.
On the Origins of Twister Theory
 A new approach pioneered by Roger Penrose, starting with conformallyinvariant concepts, to the synthesis of quantum theory and relativity.
Open Problems in Mathematics and Physics
 Links to open problems in mathematics, physics and other subjects.
Period and Energy in One Degree of Freedom Systems
 An article by Jorge Rezende, University of Lisbon. [PDF]
Recent Developments in Skyrme Models
 An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists.
Solitons
 An overview of the classical and quantum theory related to solitons
Solitons
 Resources at HeriotWatt University. Meetings, local and other links.
Symplectic Geometries in Quantum Physics and Optics
 A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
This Week's Finds in Mathematical Physics
 This is a column written about modern topics in mathematical physics.
Topology and Physics
 An essay by C. Nash on the historical connection between topology and physics.
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Last update: March 18, 2015 at 12:35:07 UTC 
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