Step-by-Step BS to PhD Math/Physics
by Alex Alaniz
Publisher: UC Riverside 2013
Number of pages: 323
Description:
These are step-by-verifiable-step notes which are designed to help students with a year of calculus based physics who are about to enroll in ordinary differential equations go all the way to doctoral foundations in either mathematics and more so in physics with much reduced mystery. Abstract algebra, topology (local and global) folds into a useful, intuitive toolset for ordinary differential equations and partial differential equations, be they linear or nonlinear.
Download or read it online for free here:
Download link
(2.8MB, PDF)
Similar books
Topics in Spectral Theoryby Vojkan Jaksic - McGill University
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
(11118 views)
Classical and Quantum Mechanics via Lie algebrasby Arnold Neumaier, Dennis Westra - arXiv
This book presents classical, quantum, and statistical mechanics in an algebraic setting, thereby introducing mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie groups.
(16105 views)
Special Functions and Their Symmetries: Postgraduate Course in Applied Analysisby Vadim Kuznetsov, Vladimir Kisil - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
(18287 views)
Quantum Spin Systems on Infinite Latticesby Pieter Naaijkens - arXiv
These are the lecture notes for a one semester course at Leibniz University Hannover. The main aim of the course is to give an introduction to the mathematical methods used in describing discrete quantum systems consisting of infinitely many sites.
(9537 views)