Spaces: An Introduction to Real Analysis - Rilegato

Lindstrom, Tom L.

 
9781470440626: Spaces: An Introduction to Real Analysis
Rilegato
ISBN 10: 1470440628 ISBN 13: 9781470440626
Casa editrice: Amer Mathematical Society, 2017

Sinossi

Spaces is a modern introduction to real analysis at the advanced undergraduate level. It is forward-looking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced courses in mathematical analysis and neighboring fields. The only prerequisites are a solid understanding of calculus and linear algebra. Two introductory chapters will help students with the transition from computation-based calculus to theory-based analysis.

The main topics covered are metric spaces, spaces of continuous functions, normed spaces, differentiation in normed spaces, measure and integration theory, and Fourier series. Although some of the topics are more advanced than what is usually found in books of this level, care is taken to present the material in a way that is suitable for the intended audience: concepts are carefully introduced and motivated, and proofs are presented in full detail. Applications to differential equations and Fourier analysis are used to illustrate the power of the theory, and exercises of all levels from routine to real challenges help students develop their skills and understanding. The text has been tested in classes at the University of Oslo over a number of years.

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

Editore
Amer Mathematical Society
Data di pubblicazione
2017
Lingua
Inglese
ISBN 10 
1470440628
ISBN 13 
9781470440626
Rilegatura
Copertina rigida
Numero di pagine
369
Contatto del produttore
non disponibile
Persona responsabile
non disponibile