An Elementary Introduction to the Riemannian Geometry of Surfaces - Brossura

Papamichalis, Konstantinos G.

Brossura

ISBN 10: 1973170264 ISBN 13: 9781973170266

Casa editrice: Independently published, 2017

Riassunto

The subject of this work is the study and the comprehension of the basic properties of a Riemannian surface, by using almost elementary mathematical concepts. The goal of the author is to offer to the reader a path to understanding the basic principles of the Riemannian Geometry that reflects his own path to this objective. In principle, this book is addressed mainly to physicists or engineers with a good background on Mathematical Analysis and Linear Algebra, as well as to any student interested in Differential Geometry and its applications. Although the present work has the characteristics of a “standard text”, certainly it is not a strictly mathematical essay; the principal concern of the author is to put a sequence of milestones leading to the heart of a Riemannian geometric structure. As a consequence, the proofs of the emerging theorems are outlined in the form of “steps-to-the-proof”: a sequence of steps is displayed that focus on the main concepts and ideas leading to the final result; but certainly they do not have the status of a strict mathematical proof. The adopted route of inquiry presupposes a certain knowledge and adeptness on some mathematical concepts and technics at a level determined by the relative references. The language and the mathematical context which is necessary for the description of the properties of the Riemannian surfaces are gradually been building starting from the presupposed knowledge. The geometric features of an abstract geometric surface are developed as a generalization or prolongation of the corresponding features of a surface immersed in a three dimensional Euclidean or pseudo-Euclidean space.

Dettagli dell?edizione

• Editore: Independently published
• Data di pubblicazione: 2017
• ISBN 10: 1973170264
• ISBN 13: 9781973170266
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 166
• Contatto del produttore: non disponibile