Funky Mathematical Physics Concepts

Funky Mathematical Physics Concepts: This text covers some of the unusual or challenging concepts in graduate mathematical physics. This work is meant to be used with any standard text, to help emphasize those things that are most confusing for new students.

Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra

Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra: We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.

Quirky Quantum Concepts

Quirky Quantum Concepts: Wave mechanics, 1D scattering, matrix mechanics, angular momentum, spin-1/2, updated quantum electromagnetic interactions. This work is meant to be used with a standard text, to help emphasize those things that are most confusing for new students.

Elliptic Functions and Elliptic Curves

Elliptic Functions and Elliptic Curves: Contents: Introduction; Abel's Method; A Crash Course on Riemann Surfaces; Cubic curves; Elliptic functions; Theta functions; Construction of elliptic functions; Lemniscatology or Complex Multiplication by Z[i]; Group law on smooth cubic curves.

Funky Electromagnetic Concepts

Funky Electromagnetic Concepts: Funky Electromagnetic Concepts will help you develop an accurate physical, conceptual, geometric, and pictorial understanding of important physics topics: Circuits; Classical Electromagnetics; Relativistic Electromagnetics; etc.