An Introduction to Mathematical Physics Via Oscillation

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

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

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

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

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

Basic Bundle Theory and K Cohomology Invariants [PDF 356p]

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Author(s): NA

NA Pages

Lecture notes for Mathematical Methods

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Author(s): NA

NA Pages

Lecture notes for Engineering Mathematics

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Author(s): NA

NA Pages

Topology and Geometry for Physics

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

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

Differential Geometry (and Relativity)

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Author(s): NA

NA Pages