A basic course in real analysis / Ajit Kumar, S. Kumaresan.

By:

Contributor(s):

Kumaresan, S

Material type: Text

TextLanguage: English Publication details: Boca Raton : Taylor & Francis, 2014.Description: xix, 302 pages : illustrations ; 24 cmISBN:

9781482216370
9781498774789

Subject(s):

DDC classification:

515.8 23

Contents:

Note continued: 5.4. Cauchy Product of Two Infinite Series 6.1. Darboux Integrability 6.2. Properties of the Integral 6.3. Fundamental Theorems of Calculus 6.4. Mean Value Theorems for Integrals 6.5. Integral Form of the Remainder 6.6. Riemann's Original Definition 6.7. Sum of an Infinite Series as an Integral 6.8. Logarithmic and Exponential Functions 6.9. Improper Riemann Integrals 7.1. Pointwise Convergence 7.2. Uniform Convergence 7.3. Consequences of Uniform Convergence 7.4. Series of Functions 7.5. Power Series 7.6. Taylor Series of a Smooth Function 7.7. Binomial Series 7.8. Weierstrass Approximation Theorem D.1. Chapter 1 D.2. Chapter 2 D.3. Chapter 3 D.4. Chapter 4 D.5. Chapter 5 D.6. Chapter 6 D.7. Chapter 7. Machine generated contents note

Summary: Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	515.8 (Browse shelf(Opens below))	Checked out to ABHINAW KUMAR MISHRA ANANDBHIARI MISHRA (I220203)	29/05/2025	50230

"A CRC title."

Includes bibliographical references (page 297) and index.

Note continued: 5.4. Cauchy Product of Two Infinite Series
6.1. Darboux Integrability
6.2. Properties of the Integral
6.3. Fundamental Theorems of Calculus
6.4. Mean Value Theorems for Integrals
6.5. Integral Form of the Remainder
6.6. Riemann's Original Definition
6.7. Sum of an Infinite Series as an Integral
6.8. Logarithmic and Exponential Functions
6.9. Improper Riemann Integrals
7.1. Pointwise Convergence
7.2. Uniform Convergence
7.3. Consequences of Uniform Convergence
7.4. Series of Functions
7.5. Power Series
7.6. Taylor Series of a Smooth Function
7.7. Binomial Series
7.8. Weierstrass Approximation Theorem
D.1. Chapter 1
D.2. Chapter 2
D.3. Chapter 3
D.4. Chapter 4
D.5. Chapter 5
D.6. Chapter 6
D.7. Chapter 7. Machine generated contents note

Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations

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