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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 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 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
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
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
Algebraic Quantum Field Theory [PDF 202p]
Currently this section contains no detailed description for the page, will update this page soon.
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
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
Homological Methods in Equations of Mathematical Physics[PDF 150p]
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Author(s): NA
NA Pages
An Introduction to Noncommutative Geometry [PDF 18p]
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Author(s): NA
NA Pages
Lectures on Orientifolds and Duality [PDF 64p]
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Author(s): NA
NA PagesAdvertisement
