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
![Book cover: An Introduction to Hyperbolic Analysis](images/4577.jpg)
by Andrei Khrennikov, Gavriel Segre - arXiv
Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane; etc.
(12248 views)
![Book cover: Lectures on Diffusion Problems and Partial Differential Equations](images/7580.jpg)
by S.R.S. Varadhan - Tata Institute of Fundamental Research
Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.
(9699 views)
![Book cover: Tensor Techniques in Physics: a concise introduction](images/8397.jpg)
by Roy McWeeny - Learning Development Institute
Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).
(13807 views)
![Book cover: A Mathematics Primer for Physics Graduate Students](images/4706.jpg)
by Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
(24866 views)