**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

**Lecture Notes on Mathematical Methods of Classical Physics**

by

**Vicente Cortes, Alexander S. Haupt**-

**arXiv**

Topics include Lagrangian Mechanics, Hamiltonian Mechanics, Hamilton-Jacobi Theory, Classical Field Theory formulated in the language of jet bundles, field theories such as sigma models, gauge theory, and Einstein's theory of general relativity.

(

**4183**views)

**Little Magnetic Book**

by

**Nicolas Raymond**-

**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.

(

**3034**views)

**Lecture Notes on Quantum Brownian Motion**

by

**Laszlo Erdos**-

**arXiv**

Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.

(

**5518**views)

**Introduction to Quantum Integrability**

by

**A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos**-

**arXiv**

The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.

(

**6064**views)