The Structures of Mathematical Physics An Introduction

The Structures of Mathematical Physics: An Introduction by Steven P. Starkovich
English | PDF,EPUB | 2021 | 274 Pages | ISBN : 303073448X | 20.5 MB
This textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable manifolds and Lie groups -- mathematical structures which are foundational to modern theoretical physics. It is aimed primarily at undergraduate students in physics and mathematics with no previous background in these topics. Applications to physics -- such as the metric tensor of special relativity, the symplectic structures associated with Hamilton's equations and the Generalized Stokes's Theorem -- appear at appropriate places in the text.