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An Introduction to Real Analysis /

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"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.

Bibliographic Details
Main Authors: Agarwal, Ravi P. (Author), Flaut, Cristina (Author), O'Regan, Donal (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2018.
Edition:First edition.
Subjects:
Applied Mathematics
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Online Access:Connect to the full text of this electronic book
Table of Contents:
  • chapter 1 Logic and Proof Techniques / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 2 Sets and Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 3 Real Numbers / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 4 Open and Closed Sets / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 5 Cardinality / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 6 Real-Valued Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 7 Real Sequences / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 8 Real Sequences (Contd.) / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 9 Infinite Series / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 10 Infinite Series (Contd.) / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 11 Limits of Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 12 Continuous Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 13 Discontinuous Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 14 Uniform and Absolute Continuities and Functions of Bounded Variation / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 15 Differentiable Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 16 Higher Order Differentiable Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 17 Convex Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 18 Indeterminate Forms / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 19 Riemann Integration / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 20 Properties of the Riemann Integral / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 21 Improper Integrals / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 22 Riemann-Lebesgue Theorem / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 23 Riemann-Stieltjes Integral / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 24 Sequences of Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 25 Sequences of Functions (Contd.) / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 26 Series of Functions / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 27 Power and Taylor Series / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 28 Power and Taylor Series (Contd.) / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 29 Metric Spaces / Ravi P. Agarwal Peter Cristina O'Regan Donal
  • chapter 30 Metric Spaces (Contd.) / Ravi P. Agarwal Peter Cristina O'Regan Donal.