An Introduction to Hyperbolic Analysis
by Andrei Khrennikov, Gavriel Segre
Publisher: arXiv 2005
Number of pages: 42
Description:
Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane and hyperbolic Riemann surfaces; Physical application to the vibrating string; Hyperbolic Analysis as the (1,0)-case of Clifford Analysis.
Download or read it online for free here:
Download link
(350KB, PDF)
Similar books
Floer Homology, Gauge Theory, and Low Dimensional Topologyby David Ellwood, at al. - American Mathematical Society
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
(11411 views)
The Octonionsby John C. Baez - University of California
The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.
(18018 views)
Random Matricesby B. Eynard - arXiv.org
This is an introductory course about random matrices. These notes will give the reader a smell of that fascinating tool for physicists and mathematicians that are Random Matrices, and they can give the envy to learn and search more.
(9139 views)
Physics, Topology, Logic and Computation: A Rosetta Stoneby 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.
(9226 views)