**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 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.

(

**8286**views)

**Elements for Physics: Quantities, Qualities, and Intrinsic Theories**

by

**Albert Tarantola**-

**Springer**

Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.

(

**15343**views)

**Foundations Of Potential Theory**

by

**Oliver Dimon Kellog**-

**Springer**

The present volume gives a systematic treatment of potential functions. It has a purpose to serve as an introduction for students and to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications.

(

**6044**views)

**Interactions, Strings and Isotopies in Higher Order Anisotropic Superspaces**

by

**Sergiu I. Vacaru**-

**arXiv**

The monograph summarizes the author's results on the geometry of anholonomic and locally anisotropic interactions. The main subjects are in the theory of field interactions, strings and diffusion processes on spaces, superspaces and isospaces.

(

**10691**views)