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Mathematical Physics Books

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Mathematical Physics Books

This section contains free e-books and guides on Mathematical Physics, some of the resources in this section can be viewed online and some of them can be downloaded.

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):

s NAPages

Lecture notes for Mathematical Physics

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.

Author(s):

s 86Pages

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.

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s 95Pages

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.

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s NAPages

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.

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s 263Pages

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):

s 317Pages

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.

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s 177Pages

Funky Mathematical Physics Concepts

The purpose of the ďFunkyĒ series of documents is to help develop an accurate physical, conceptual,geometric, and pictorial understanding of important physics topics. We focus on areas that donít seem to be covered well in most texts. Topics covered includes: Vectors, Greenís 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.

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s 273Pages

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.

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s 279Pages

Mathematical Methods for Physics

This note describes the following topics: Notation for scalar product, Linear vector spaces, Operators, Eigenvectors and Eigenvalues, Greenís functions, Integral Equations, Variational calculus.

Author(s):

s 90Pages

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.

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s 224Pages

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):

s NAPages

Ordinary Differential Equations and Dynamical Systems

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s NAPages

Calculus Based Physics

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s NAPages

Differential Geometry and Physics

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Author(s):

s NAPages

Calculus Based Physics VolumeI [PDF 1.7 Mb]

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s NAPages

Physical Applications of Geometric Algebra

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Author(s):

s NAPages

Algebraic Quantum Field Theory [PDF 202p]

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s NAPages

Basic Bundle Theory and K Cohomology Invariants [PDF 356p]

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s NAPages

Lecture notes for Mathematical Methods

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Author(s):

s NAPages

Lecture notes for Engineering Mathematics

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s NAPages

Topology and Geometry for Physics

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Author(s):

s NAPages

Mathematical Tools for Physics [PDF 459p]

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s NAPages

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

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s NAPages

Five Lectures on Soliton Equations [PDF 42]

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s NAPages

Holomorphic Methods in Mathematical Physics [PDF 59p]

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s NAPages

Homological Methods in Equations of Mathematical Physics[PDF 150p]

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s NAPages

An Introduction to Noncommutative Geometry [PDF 18p]

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s NAPages

Lectures on Orientifolds and Duality [PDF 64p]

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s NAPages

Differential Geometry (and Relativity)

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s NAPages

Mathematical Tools for Physics [PDF 591p]

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s NAPages

Mathematical Tools for Physics (PDF 448)

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s NAPages

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