Research Catalog

Title

The mathematics of Minkowski space-time : with an introduction to commutative hypercomplex numbers / Francesco Catoni ... [et al.].

Publication

Basel ; Boston : Birkhäuser Verlag, c2008.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Catoni, Francesco.

Description

xviii, 255 p. : ill.; 24 cm.

Summary

Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.

Series Statement

Frontiers in mathematics

Uniform Title

Frontiers in mathematics.

Subject

• Generalized spaces
• Special relativity (Physics)
• Geometry
• Global analysis (Mathematics)
• Global differential geometry
• Mathematical physics
• Mathematics
• Topological Groups

Bibliography (note)

• Includes bibliographical references (p. [245]-250) and index.

Processing Action (note)

• committed to retain

Contents

N-Dimensional Commutative Hypercomplex Numbers -- The Geometries Generated by Hypercomplex Numbers -- Trigonometry in the Minkowski Plane -- Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox) -- General Two-Dimensional Hypercomplex Numbers -- Functions of a Hyperbolic Variable -- Hyperbolic Variables on Lorentz Surfaces -- Constant Curvature Lorentz Surfaces -- Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle).

ISBN

• 9783764386139 (pbk.)
• 3764386134 (pbk.)

LCCN

^^2008923068

OCLC

• 187294662
• SCSB-12412190

Owning Institutions

Harvard Library