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An Invitation to Mathematical Physics and Its History
This book is for the engineering minded, for those who need to understand math to do engineering, to learn how things work. Topics covered includes: The Three Pythagorean Streams, Stream: Number Systems, Algebraic Equations, Scalar Calculus and Vector Calculus, Notation, Eigenanalysis, Laplace Transforms, Number theory applications, Algebraic Equations, Differential equations.
Author(s): Jont B. Allen
317 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
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
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 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
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
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NA Pages
Differential Geometry and Physics
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Algebraic Quantum Field Theory [PDF 202p]
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NA Pages
Lecture notes for Mathematical Methods
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NA Pages
COMPLEX GEOMETRY OF NATURE AND GENERAL RELATIVITY [PDF 229p]
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NA Pages
Holomorphic Methods in Mathematical Physics [PDF 59p]
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NA Pages
Homological Methods in Equations of Mathematical Physics[PDF 150p]
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Lectures on Orientifolds and Duality [PDF 64p]
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NA Pages
Differential Geometry (and Relativity)
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