Logo

An Introduction to Hyperbolic Analysis

Small book cover: An Introduction to Hyperbolic Analysis

An Introduction to Hyperbolic Analysis
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(350KB, PDF)

Similar books

Book cover: Little Magnetic BookLittle Magnetic Book
by - arXiv
'Little Magnetic Book' is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.
(7172 views)
Book cover: Elements for Physics: Quantities, Qualities, and Intrinsic TheoriesElements for Physics: Quantities, Qualities, and Intrinsic Theories
by - Springer
Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.
(16443 views)
Book cover: Lectures on Integrable Hamiltonian SystemsLectures on Integrable Hamiltonian Systems
by - arXiv
We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. This is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and systems with time-dependent parameters.
(9067 views)
Book cover: Random Matrix Models and Their ApplicationsRandom Matrix Models and Their Applications
by - Cambridge University Press
The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.
(17180 views)