Basic Elements of Real Analysis

AvMurray H. Protter

Häftad, Engelska, 2013

Del i serien Undergraduate Texts in Mathematics

534 kr

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Beskrivning

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 those students who intend to study any of the physical sciences and computer science need a text that presents the most important material in a brief and elementary fashion. The author has included 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. There are illustrative examples throughout with over 45 figures.

Produktinformation

Utgivningsdatum:2013-03-23
Mått:155 x 235 x 16 mm
Vikt:446 g
Format:Häftad
Språk:Engelska
Serie:Undergraduate Texts in Mathematics
Antal sidor:276
Förlag:Springer-Verlag New York Inc.
ISBN:9781475771503

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

"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

Innehållsförteckning

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.