An Introduction to Real Analysis
β Cesar O. Aguilar
π Library
π
2022
π English
β¦ LIBER β¦
π
An Introduction to Real Analysis
β Scribed by Agarwal, Ravi P.; Flaut, Cristina; O'Regan, Donal
- Publisher
- CRC Press
- Year
- 2018
- Tongue
- English
- Leaves
- 292
- Edition
- First edition
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
"This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course."--Provided by publisher.
Abstract: "This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course."--Provided by publisher
β¦ Table of Contents
Content: Cover
Half Title
Title Page
Copyright Page
Dedication
Table of Contents
Preface
1: Logic and Proof Techniques
2: Sets and Functions
3: Real Numbers
4: Open and Closed Sets
5: Cardinality
6: Real-Valued Functions
7: Real Sequences
8: Real Sequences (Contd.)
9: Infinite Series
10: Infinite Series (Contd.)
11: Limits of Functions
12: Continuous Functions
13: Discontinuous Functions
14: Uniform and Absolute Continuities and Functions of Bounded Variation
15: Differentiable Functions
16: Higher Order Differentiable Functions
17: Convex Functions
18: Indeterminate Forms 19: Riemann Integration20: Properties of the Riemann Integral
21: Improper Integrals
22: Riemann-Lebesgue Theorem
23: Riemann-Stieltjes Integral
24: Sequences of Functions
25: Sequences of Functions (Contd.)
26: Series of Functions
27: Power and Taylor Series
28: Power and Taylor Series (Contd.)
29: Metric Spaces
30: Metric Spaces (Contd.)
Bibliography
Index
β¦ Subjects
Applied Mathematics.;MATHnetBASE.;SCI-TECHnetBASE.;STMnetBASE.
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