A Window into Zeta and Modular Physics
by Klaus Kirsten, Floyd L. Williams
Publisher: Cambridge University Press 2010
Number of pages: 351
This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.
Home page url
Download or read it online for free here:
(multiple PDF files)
by Marios Tsatsos - arXiv
The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can give rise to new descriptions of quantum physics.
by C.L. Siegel - Tata Institute of Fundamental Research
From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).
by John C. Baez, Mike Stay - arXiv
There is extensive network of analogies between physics, topology, logic and computation. In this paper we make these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory.
by Sergiu I. Vacaru - arXiv
The monograph summarizes the author's results on the geometry of anholonomic and locally anisotropic interactions. The main subjects are in the theory of field interactions, strings and diffusion processes on spaces, superspaces and isospaces.