Mathematical Analysis and Its Inherent Nature - Rilegato

Giv, Hossein Hosseini

 
9781470428075: Mathematical Analysis and Its Inherent Nature
Rilegato
ISBN 10: 1470428075 ISBN 13: 9781470428075
Casa editrice: Amer Mathematical Society, 2016

Sinossi

Mathematical analysis is often referred to as generalized calculus. But it is much more than that. This book has been written in the belief that emphasizing the inherent nature of a mathematical discipline helps students to understand it better. With this in mind, and focusing on the essence of analysis, the text is divided into two parts based on the way they are related to calculus: completion and abstraction. The first part describes those aspects of analysis which complete a corresponding area of calculus theoretically, while the second part concentrates on the way analysis generalizes some aspects of calculus to a more general framework. Presenting the contents in this way has an important advantage: students first learn the most important aspects of analysis on the classical space R and then fill in the gaps of their calculus-based knowledge. Then they proceed to a step-by-step development of an abstract theory, namely, the theory of metric spaces which explores such crucial notions as limit, continuity, and convergence in a wider context.

The readers are assumed to have passed courses in one- and several-variable calculus and an elementary course on the foundations of mathematics. A large variety of exercises and the inclusion of informal interpretations of many results and examples will greatly facilitate the reader's study of the subject.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
Amer Mathematical Society
Data di pubblicazione
2016
Lingua
Inglese
ISBN 10 
1470428075
ISBN 13 
9781470428075
Rilegatura
Copertina rigida
Numero di pagine
348
Contatto del produttore
non disponibile
Persona responsabile
non disponibile