Physics

Course with clear explanations of the topics covered in Waves, Sound, and Light for high school and intro college.

The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.

Authors: Becchi, Carlo Maria, D'Elia, Massimo
New to this edition is a more detailed discussion on Lorentz transformations, a deeper treatment of quantum mechanics, and a closer comparison of statistical mechanics in classical and in quantum physics
Includes more worked examples of relevant applications as well as solved problems
Provides a rigorous and self-contained presentation within the simplest theoretical framework and using elementary mathematical tools

Towards Excellence

by Vladimir Zelevinsky (Author), Alexander Volya (Author)