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
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
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.
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.
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.
Mathematics is an
integral component of all of the scientific disciplines, but for physics, it is
a vital and essential skill that anyone who chooses to study this subject must
master. Topics covered includes: Functions and Geometry, Complex Numbers,
Matrices, Vectors, Limits, Differentiation, Partial Differentiation and
Multivariable Differential Calculus, Integration, Multiple Integration,
Differential Equations, Series and Expansions, Operators, Mechanics.
The main focus of this note is on theoretical
developments rather than elaborating on concrete physical systems, which the
students are supposed to encounter in regular physics courses. Topics covered
includes: Newtonian Mechanics, Lagrangian Mechanics, Hamiltonian Mechanics,
Hilbert Spaces, Operators on Hilbert spaces and Quantum mechanics.
Author(s): Bergfinnur
Durhuus and Jan Philip Solovej
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.
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.
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.