An Introduction to Real Analysis 1st Edition by Ravi Agarwal, Cristina Flaut, Donal Regan 0815396856 9780815396857

An Introduction to Real Analysis 1st Edition by Ravi P. Agarwal, Cristina Flaut, Donal O’Regan – Ebook PDF Instant Download/DeliveryISBN: 0815396856, 9780815396857

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Product details:

ISBN-10 :  0815396856 

ISBN-13 :  9780815396857

Author:  Ravi P. Agarwal, Cristina Flaut, Donal O’Regan 

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.

An Introduction to Real Analysis 1st Table of contents:

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 Integration
20 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.)

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