This book is an introduction to quantum mechanics and mathematics that leads to the solution of the Schrodinger equation. It is can be read and understood by undergraduates without sacrificing the mathematical detail necessary for a complete solution giving the shapes of molecular orbitals seen in every chemistry text. Readers are introduced to many mathematical topics new to the undergraduate curriculum such as basic representation theory, Schur's lemma, and the Legendre polynomials.

This book is an introduction to quantum mechanics and mathematics that leads to the solution of the Schrodinger equation. It is can be read and understood by undergraduates without sacrificing the mathematical detail necessary for a complete solution giving the shapes of molecular orbitals seen in every chemistry text. Readers are introduced to many mathematical topics new to the undergraduate curriculum such as basic representation theory, Schur's lemma, and the Legendre polynomials.

The aim of this book is to present Classical Thermodynamics in a unified way, from the most fundamental principles to non-uniform systems, thereby requiring the introduction of coarse graining methods, leading for instance to phase field methods. Solution