A First Course in Real Analysis
โ Berberian Sterling K.
๐ Library
๐
2004
๐ Springer
๐ English
โฆ LIBER โฆ
๐
A First Course in Real Analysis
โ Scribed by M. H. Protter, C. B. Morrey Jr. (auth.)
- Publisher
- Springer US
- Year
- 1977
- Tongue
- English
- Leaves
- 519
- Series
- Undergraduate Texts in Mathematics
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xii
The real number system....Pages 1-30
Continuity and limits....Pages 31-59
Basic properties of functions on โ 1 ....Pages 60-83
Elementary theory of differentiation....Pages 84-97
Elementary theory of integration....Pages 98-129
Metric spaces and mappings....Pages 130-172
Differentiation in โ N ....Pages 173-193
Integration in โ N ....Pages 194-209
Infinite sequences and infinite series....Pages 210-261
Fourier series....Pages 262-281
Functions defined by integrals....Pages 282-299
Functions of bounded variation and the Riemann-Stieltjes integral....Pages 300-321
Contraction mappings and differential equations....Pages 322-331
Implicit function theorems and differentiable maps....Pages 332-364
Functions on metric spaces....Pages 365-403
Vector field theory: The theorems of Green and Stokes....Pages 404-482
Back Matter....Pages 483-510
โฆ Subjects
Real Functions
๐ SIMILAR VOLUMES
A First Course in Real Analysis
โ Sterling K. Berberian
๐ Library
๐
2004
๐ Springer
๐ English
A first course in real analysis
โ Berberian S.K.
๐ Library
๐
1994
๐ Springer
๐ English
The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series--are built, with logical continuity (i.e., "rigor"),
A First Course in Real Analysis
โ Berberian Sterling K.
๐ Library
๐
2004
๐ Springer
๐ English
A First Course in Real Analysis
โ Murray H. Protter, Charles B. Jr. Morrey
๐ Library
๐
1991
๐ Springer
๐ English
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 p
A First Course in Real Analysis
โ Murray H. Protter, Charles B. Jr. Morrey
๐ Library
๐
1991
๐ Springer
๐ English