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An Introduction to Real Analysis / editors, Cristina Flaut, Donal O'Regan.

By: Agarwal, Ravi P [author.].
Contributor(s): Flaut, Cristina [author.] | O'Regan, Donal [author.].
Material type: materialTypeLabelBookPublisher: Boca Raton, FL : CRC Press, 2018Edition: First edition.Description: 1 online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781351180610; 9781351180641.Subject(s): Applied Mathematics | MATHnetBASE | SCI-TECHnetBASE | STMnetBASEAdditional physical formats: Print version: : No titleOnline resources: Click here to view.
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.
Scope and content: "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.
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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.

"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.

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