A first course in real analysis : second edition

By: M H ProtterContributor(s): C B MorreyMaterial type: TextTextSeries: Undergraduate Texts in MathematicsPublication details: USA: Springer- Verlag, [c1991]Edition: 2nd edDescription: 534 pISBN: 9789624300130LOC classification: QA300.P
Contents:
Ch 1. The Real Number System Ch 2. Continuity and Limits Ch 3. Basic Properties of Functions on ℝ1 Ch 4. Elementary Theory of Differentiation Ch 5. Elementary Theory of Integration Ch 6. Elementary Theory of Metric Spaces Ch 7. Differentiation in ℝN Ch 8. Integration in ℝN Ch 9. Infinite Sequences and Infinite Series Ch 10. Fourier Series Ch 11. Functions Defined by Integrals; Improper Integrals Ch 12. The Riemann—Stieltjes Integral and Functions of Bounded Variation Ch 13. Contraction Mappings, Newton’s Method, and Differential Equations Ch 14. Implicit Function Theorems and Lagrange Multipliers Ch 15. Functions on Metric Spaces; Approximation Ch 16. Vector Field Theory; the Theorems of Green and Stokes
Summary: 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. --- summary provided by publisher
List(s) this item appears in: Gift Books
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA300.P (Browse shelf (Opens below)) Available Gifted by Junggi Yoon 01240
Total holds: 0

Ch 1. The Real Number System
Ch 2. Continuity and Limits
Ch 3. Basic Properties of Functions on ℝ1
Ch 4. Elementary Theory of Differentiation
Ch 5. Elementary Theory of Integration
Ch 6. Elementary Theory of Metric Spaces
Ch 7. Differentiation in ℝN
Ch 8. Integration in ℝN
Ch 9. Infinite Sequences and Infinite Series
Ch 10. Fourier Series
Ch 11. Functions Defined by Integrals; Improper Integrals
Ch 12. The Riemann—Stieltjes Integral and Functions of Bounded Variation
Ch 13. Contraction Mappings, Newton’s Method, and Differential Equations
Ch 14. Implicit Function Theorems and Lagrange Multipliers
Ch 15. Functions on Metric Spaces; Approximation
Ch 16. Vector Field Theory; the Theorems of Green and Stokes

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. --- summary provided by publisher

There are no comments on this title.

to post a comment.