Undergraduate Analysis - Rilegato

Lang, Serge

Rilegato

ISBN 10: 0387908005 ISBN 13: 9780387908007

Casa editrice: Springer, 1983

Riassunto

The present volume is a text designed for a first course in analysis. Although it is logically self-contained, it presupposes the mathematical maturity acquired by students who will ordinarily have had two years of calculus. When used in this context, most of the first part can be omitted, or reviewed extremely rapidly, or left to the students to read by themselves. The course can proceed immediately into Part Two after covering Chapters o and 1. However, the techniques of Part One are precisely those which are not emphasized in elementary calculus courses, since they are regarded as too sophisticated. The context of a third-year course is the first time that they are given proper emphasis, and thus it is important that Part One be thoroughly mastered. Emphasis has shifted from computational aspects of calculus to theoretical aspects: proofs for theorems concerning continuous 2 functions; sketching curves like x e-X, x log x, xlix which are usually regarded as too difficult for the more elementary courses; and other similar matters.

Su questo libro

Recensione:

Second Edition

S. Lang

Undergraduate Analysis

"[A] fine book . . . logically self-contained . . . This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it."―AMERICAN MATHEMATICAL SOCIETY

Product Description:

Book by Lang Serge

Su questa edizione

• Editore: Springer
• Data di pubblicazione: 1983
• ISBN 10: 0387908005
• ISBN 13: 9780387908007
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 559