History Topics Mathematical Physics Index

Lecture Notes on Mathematical Statistical Physics

This note explains the following topics: classical statistical mechanics, Review of classical mechanics, Review of probability and measure, The Maxwellian distribution Probability spaces in classical mechanics, Review of thermodynamics Macro states, Macro variables, Thermal equilibrium and entropy, The Boltzmann equation, The thermodynamic arrow of time, Quantum statistical mechanics and thermodynamic ensembles.

Author(s): Roderich Tumulka

173 Pages

Mathematical Physics by Indu Satija

This note covers Laws of nature and mathematical beauty, Gaussian Integrals and related functions, Basic gaussian integrals, Stirling formula error functions, Real numbers, Complex numbers, Scalars, Vectors, Tensors and spinor, Fourier transformation, Curvilinear coordinates, Partial differential equations, Solving partial differential equation by separation of variables, Solving laplace equation in spherical polar coordinates, Spherical harmonics and legendre functions, Bessel function, Spherical bessel function and matrices.

Author(s): Indu Satija

120 Pages

Mathematical Method of Physics by Njah

The PDF covers the following topics related to Mathematical Physics : Linear Algebra, Vector Space or Linear Space, Matrix Theory, Complex Matrices, Matrix Algebra, Consistency of Equations, Solution of Sets of Equations, Eigenvalues and Eigenvectors of a Matrix, Transformation, Bases and Dimension, Functional Analysis, Normed Spaces, Special Functions, the Gamma and Beta Functions, Bessel’s Functions, Legendre’s Polynomials, Hermite Polynomials, Laguerre Polynomials, Integral Transform and Fourier Series, Laplace Transform, the Dirac Delta Function &

Author(s): Dr. A. N. Njah, Department of Physics, University of Agriculture, Abeokuta

57 Pages

Lecture notes for Mathematical Physics

This is a lecture note on Mathematical methods in physics. It covers the following topics: Group Theory and Lie Algebras,Path Integrals, Topology, Differential Geometry, Yang-Mills.

Author(s): Joseph A. Minahan

86 Pages

Mathematical Methods in Physics

The purpose of this note is to present standard and widely used mathematical methods in Physics, including functions of a complex variable, differential equations, linear algebra and special functions associated with eigenvalue problems of ordinary and partial differential operators.

Author(s): Eric D’Hoker

95 Pages

Lecture Notes for Mathematical Methods of Physics

This note covers the following topics: Series of Functions, Binomial Theorem, Series Expansion of Functions, Vectors, Complex Functions, Derivatives, Intergrals, and the Delta Function, Determinants, Matrices, Vector Analysis, Vector Differentiation and Integration, Integral Theorems and Potential Theory, Curvilinear Coordinates, Tensor Analysis, Jacobians and Differential Forms, Vectors in Function Spaces, Gram-Schmidt Orthogonalization and Operators, Transformations, Invariants, and Matrix Eignevalue Problems, Hermitian and Normal Matrix Eigenvalue Paroblems, Ordinary Differential Equations, Second-Order Linear ODEs, Green's Functions.

Author(s): Gregory G. Howes

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

Algebraic Quantum Field Theory [PDF 202p]

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Lecture notes for Engineering Mathematics

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Five Lectures on Soliton Equations [PDF 42]

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Homological Methods in Equations of Mathematical Physics[PDF 150p]

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Lectures on Orientifolds and Duality [PDF 64p]

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages