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EbookBell Team
4.4
42 reviews 
ISBN 10: 0387974377
ISBN 13: 978-0387974378
Author: Murray H. Protter, Charles B. Jr. Morrey
Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.
Front Matter
The Real Number System
Continuity and Limits
Basic Properties of Functions on ℝ¹
Elementary Theory of Differentiation
Elementary Theory of Integration
Elementary Theory of Metric Spaces
Differentiation in ℝᴺ
Integration in ℝᴺ
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
Back Matter
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Tags: Murray H Protter, Charles B Jr Morrey, First, Course, Real, Analysis, Second, Edition
