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Mathematical Physics by Michael Aizenman
The PDF covers the following topics related to Mathematical Physics : Introduction to statistical mechanics, Canonical Ensembles for the Lattice Gas, Configurations and ensembles, The equivalence principle, Generalizing Ensemble Analysis to Harder Cases, Concavity and the Legendre transform, Basic concavity results, Concave properties of the Legendre transform, Basic setup for statistical mechanics, Gibbs equilibrium measure, Introduction to the Ising model, Entropy, energy, and free energy, Large deviation theory, Free energy, Basic Properties, Convexity of the pressure and its implications, Large deviation principle for van Hove sequences, 1-D Ising model, Transfer matrix method, Markov chains, 7 2-D Ising model, Ihara graph zeta function, Gibbs states in the infinite volume limit, Conditional expectation, Symmetry and symmetry breaking, Phase transitions, Random field models, Proof of symmetry-breaking of continuous symmetries, The spin-wave perspective, Infrared bound, Reflection positivity.
Author(s): Professor Michael Aizenman
76 Pages
An Introduction to Mathematical Physics Via Oscillation
The intent of this note is to introduce students to many of the mathematical techniques useful in their undergraduate physics education long before they are exposed to more focused topics in physics. Topics covered includes: ODEs and SHM, Linear Algebra, Harmonics - Fourier Series, Function Spaces, Complex Representations, Transform Techniques, Vector Analysis and EM Waves, Oscillations in Higher Dimensions.
Author(s): Dr. R. L. Herman
NA Pages
Funky Mathematical Physics Concepts
The purpose of the “Funky” series of documents is to help develop an accurate physical, conceptual,geometric, and pictorial understanding of important physics topics. We focus on areas that don’t seem to be covered well in most texts. Topics covered includes: Vectors, Green’s Functions, Complex Analytic Function, Conceptual Linear Algebra, Probability, Statistics, and Data Analysis, Practical Considerations for Data Analysis, Numerical Analysis, Fourier Transforms and Digital Signal Processing, Tensors, Without the Tension, Differential Geometry.
Author(s): Eric L. Michelsen
273 Pages
Mathematical Methods for Physics
This note describes the following topics: Notation for scalar product, Linear vector spaces, Operators, Eigenvectors and Eigenvalues, Green’s functions, Integral Equations, Variational calculus.
Author(s): Niels Walet
90 Pages
An introduction to mathematical physics
This book is intended primarily as a class-book for mathematical students and as an introduction to the advanced treatises dealing with the subjects of the different chapters, but since the analysis is kept as simple as possible, It will be useful for chemists and others who wish to learn the principles of these subjects.
Author(s): Robert Alexander Houstoun
224 Pages
Lecture Notes Methods of Mathematical Physics I
This note covers the following topics: Linear Algebra, Functional Analysis, Special Functions, Integral Transform and Fourier Series.
Author(s): Dr. A. N. Njah, University of Agriculture, Abeokuta
57 Pages
Mathematical Physics Lecture Notes
This note covers the following topics: Prologue, Free Fall and Harmonic Oscillators, ODEs and SHM, Linear Algebra, Harmonics - Fourier Series, Function Spaces, Complex Representations, Transform Techniques, Vector Analysis and EM Waves, Oscillations in Higher Dimensions.
Author(s): Dr. R. L. Herman
NA Pages
Ordinary Differential Equations and Dynamical Systems
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Author(s): NA
NA Pages
Differential Geometry and Physics
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Author(s): NA
NA Pages
Topology and Geometry for Physics
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Author(s): NA
NA Pages
COMPLEX GEOMETRY OF NATURE AND GENERAL RELATIVITY [PDF 229p]
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Author(s): NA
NA Pages
Five Lectures on Soliton Equations [PDF 42]
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Author(s): NA
NA Pages
Homological Methods in Equations of Mathematical Physics[PDF 150p]
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Author(s): NA
NA Pages
An Introduction to Noncommutative Geometry [PDF 18p]
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NA Pages
Lectures on Orientifolds and Duality [PDF 64p]
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Author(s): NA
NA Pages
Differential Geometry (and Relativity)
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