Notes on Theoretical Physics, Vol. VIII: Thermodynamics and Statistical Mechanics
Year: 2026
Type: book
Abstract: Notes on Theoretical Physics offers a detailed exposition of fundamental areas within theoretical physics and its mathematical foundations. The primary objective of this work is to present explicit, step-by-step mathematical developments, intentionally avoiding the systemic use of natural units or excessive simplifications that can otherwise obscure dimensional analysis and the tracking of fundamental constants. By preserving the explicit identity of algebraic operations and differential representations, the text aims to maintain transparency in the interplay between mathematical formalism and physical interpretation. The scope includes topics ranging from classical analytical mechanics and electrodynamics to advanced mathematical tools, such as the treatment of distribution theory within the framework of topological dual spaces. Conceived as an open and evolving pedagogical project, this work is intended to serve as a reference for students and researchers seeking foundational depth. Given the breadth of the subjects covered, the author remains fully aware that errata and areas for improvement are inevitable. Therefore, the scientific and student community is warmly invited to engage in a critical reading; any formal corrections or suggestions will be integrated into future revisions, with due acknowledgment of contributors in subsequent editions.
Author: Soto García, Keniel Y.
Institution: University of Puerto Rico at Río Piedras
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7169661627