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.
Durhuus and Jan Philip Solovej
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.
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.
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,
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.
of Mathematics and Statistics, University of St Andrews, Scotland
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
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.
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.