Lecture notes for Mathematical Physics

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

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

Mathematical Preparation Course Before Studying Physics

This note covers the following topics: Measuring: Measured Value and Measuring Unit, Signs and Numbers and Their Linkages, Sequences and Series and Their Limits, Functions, Differentiation, Taylor Series, Integration, Complex Numbers, Vectors.

Author(s): Klaus Hef

279 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

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

Physical Applications of Geometric Algebra

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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

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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

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

Differential Geometry (and Relativity)

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Author(s): NA

NA Pages