000			02340cam a2200361 i 4500
003			CUTN
005			20241001164122.0
008			130903s2014 flua b 001 0 eng
020			_a9781482216370
020			_a9781498774789
041			_aEnglish
042			_apcc
082	0	0	_a515.8 _223
100	1		_aKumar, Ajit,
100	1		_d1972-
245	1	2	_aA basic course in real analysis / _cAjit Kumar, S. Kumaresan.
260			_aBoca Raton : _bTaylor & Francis, _c2014.
300			_axix, 302 pages : _billustrations ; _c24 cm
500			_a"A CRC title."
504			_aIncludes bibliographical references (page 297) and index.
505			_tNote 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
520			_aBased 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
650		0	_aFunctions of real variables
650		0	_aMathematical analysis
650		0	_aNumbers, Real
650		0	_vTextbooks.
650		0	_vTextbooks.
650		0	_vTextbooks.
700	1		_aKumaresan, S.
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBOOKS
999			_c43670 _d43670