COMPLEX GEOMETRY OF NATURE AND GENERAL RELATIVITY [PDF 229p]

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

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

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

Maths for Physics

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.

Author(s): Daniel Brett and Joseph Vovrosh

263 Pages

Mathematical Physics by Bergfinnur Durhuus and Jan Philip Solovej

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

177 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

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

Differential Geometry and Physics

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

Author(s): NA

NA Pages

Algebraic Quantum Field Theory [PDF 202p]

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Author(s): NA

NA Pages

Lecture notes for Mathematical Methods

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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

Holomorphic Methods in Mathematical Physics [PDF 59p]

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Author(s): NA

NA Pages

Lectures on Orientifolds and Duality [PDF 64p]

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Author(s): NA

NA Pages