**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

**Clifford Algebra, Geometric Algebra, and Applications**

by

**Douglas Lundholm, Lars Svensson**-

**arXiv**

These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.

(

**9210**views)

**Topics in Spectral Theory**

by

**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.

(

**5119**views)

**Lectures on Diffusion Problems and Partial Differential Equations**

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.

(

**5246**views)

**Theoretical Physics**

by

**W. Wilson**-

**Dutton**

The purpose of the present work is to present an account of the theoretical side of physics which, without being too elaborate, will be sufficiently comprehensive to be useful to teachers and students. This volume deals with mechanics and heat.

(

**5829**views)