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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.

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):

s 177Pages

Mathematical Structures in Physics

Main goal of this note is to show the appropriate mathematics to a student of physics, roughly familiar with all classes of theoretical physics except for quantum field theory. Topics covered includes: Newtonian mechanics, Lagrangian mechanics, Classical field theories, Hamiltonian mechanics, Quantum mechanics.

Author(s):

s 210Pages

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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):

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.

Author(s):

s 279Pages

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):

s 90Pages

History Topics Mathematical Physics Index

This note covers the following topics: General relativity, History of Quantum mechanics, Orbits and gravitation, Special relativity, Topology and Scottish mathematical physics, Light: Ancient Greece to Maxwell, Light in the relativistic and quantum era, History of Time: Classic time, History of Time: 20th Century time, Gravitation, Newton's bucket, Wave versus matrix mechanics, Kepler's planetary laws and Kinematic planetary motion.

Author(s):

s NAPages

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):

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

Partial Differential Equations of Mathematical Physics (PDF 105p)

This note aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the fundamental equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics. Topics covered includes: Kinematics and Conservation, Strain, Stress, Ideal Fluids and the Euler Equations, Elastic Fluids and Acoustic Waves, Newtonian Fluids and the Navier-Stokes Equations, Linear Elasticity, Thermodynamics and the Heat Equation, Porous Flow, Electrodynamics and Maxwell’s Equations.

Author(s):

s 107Pages

Ordinary Differential Equations and Dynamical Systems

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

Author(s):

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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Author(s):

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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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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Author(s):

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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Author(s):

s NAPages

Holomorphic Methods in Mathematical Physics [PDF 59p]

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Author(s):

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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Author(s):

s NAPages

Mathematical Tools for Physics [PDF 591p]

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Author(s):

s NAPages

Mathematical Tools for Physics (PDF 448)

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s NAPages

Lecture Notes Methods of Mathematical Physics I

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Author(s):

s NAPages