Basic Elements of Real Analysis - Rilegato

Protter, Murray H.

Rilegato

ISBN 10: 0387984798 ISBN 13: 9780387984797

Casa editrice: Springer Nature, 1998

Riassunto

From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.

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Recensione

"This book is intended for a "shortened" course aimed at students who intend to study the physical sciences or computer science. It covers the most important topics in an elementary way. ... The book can be recommended to students desiring a good solid background in mathematics for the study of other sciences without unnecessary detours."
EMS Newsletter, June 2001

Contenuti

The Real Number System.- Continuity and Limits.- Basic Properties of Functions on ?1.- Elementary Theory of Differentiation.- Elementary Theory of Integration.- Elementary Theory of Metric Spaces.- Differentiation and Integration in ?N.- Infinite Series.- The Derivative of an Integral.- The Riemann-Stieltjes Integral.- The Implicit Function Theorem. Lagrange Multipliers.- Vector Functions on ?N; The Theorems of Green and stokes.

Dettagli dell?edizione

• Editore: Springer Nature
• Data di pubblicazione: 1998
• ISBN 10: 0387984798
• ISBN 13: 9780387984797
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 273
• Contatto del produttore: {language_tag:it_IT,value:"Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com"}