First Course in Real Analysis

Name: First Course in Real Analysis
Price: 27.75 USD
Availability: InStock
ISBN: 9780387974378

ISBN-10: 0387974377

ISBN-13: 9780387974378

Edition: 2nd 1991 (Revised)

Authors: Murray H. Protter, Charles B. Morrey, J. H. Ewing, F. W. Gehring, P. R. Halmos

List price: $74.95

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Sell

Get cash fast!

Buy new: $64.47

Marketplace

4 new & used from $27.75

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors have included such elementary topics as the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits. The pace is deliberate, and the proofs are detailed. The emphasis of the presentation is on theory, but the book also contains a full treatment (with many illustrative examples and exercises) of the standard topics in infinite series, Fourier series, multidimensional calculus, elements of metric spaces, and vector field theory. There…

Book details

List price: $74.95
Edition: 2nd
Copyright year: 1991
Publisher: Springer New York
Publication date: 8/1/1991
Binding: Hardcover
Pages: 536
Size: 6.10" wide x 9.25" long x 0.48" tall
Weight: 2.090
Language: English




The Real Number System



Continuity and Limits



Basic Properties of Functions on R



Elementary Theory of Differentiation



Elementary Theory of Integration



Elementary Theory of Metric Spaces



Differentiation in R



Integration in R



Infinite Sequences and Infinite Series



Fourier Series



Functions Defined by Integrals; Improper Integrals



The Riemann-Stieltjes Integral and Functions of Bounded Variation



Contraction Mappings, Newton's Method, and Differential Equations



Implicit Function Theorems and Lagrange Multipliers



Functions on Metric Spaces; Approximation



Vector Field Theory; the Theorems of Green and Stokes


Appendices