An Introduction To Real Analysis

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 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.) -- Bibliography -- Index

• | Author: Ravi P. Agarwal|Cristina Flaut|Donal O'Regan
• | Publisher: Chapman And Hall/Crc
• | Publication Date: Feb 22, 2018
• | Number of Pages: 277 pages
• | Language: English
• | Binding: Hardcover
• | ISBN-10: 0815396856
• | ISBN-13: 9780815396857