000			01717nam a22002297a 4500
003			OSt
005			20241105161202.0
008			180806b ||||| |||| 00| 0 eng d
020			_a9789624300130
040			_cGifted by Junggi Yoon _aICTS-TIFR
050			_aQA300.P
100			_aM H Protter
245			_aA first course in real analysis _b: second edition
250			_a2nd ed.
260			_aUSA: _bSpringer- Verlag, _c[c1991]
300			_a534 p.
490			_a Undergraduate Texts in Mathematics
505			_aCh 1. The Real Number System Ch 2. Continuity and Limits Ch 3. Basic Properties of Functions on ℝ1 Ch 4. Elementary Theory of Differentiation Ch 5. Elementary Theory of Integration Ch 6. Elementary Theory of Metric Spaces Ch 7. Differentiation in ℝN Ch 8. Integration in ℝN Ch 9. Infinite Sequences and Infinite Series Ch 10. Fourier Series Ch 11. Functions Defined by Integrals; Improper Integrals Ch 12. The Riemann—Stieltjes Integral and Functions of Bounded Variation Ch 13. Contraction Mappings, Newton’s Method, and Differential Equations Ch 14. Implicit Function Theorems and Lagrange Multipliers Ch 15. Functions on Metric Spaces; Approximation Ch 16. Vector Field Theory; the Theorems of Green and Stokes
520			_aMany changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation. --- summary provided by publisher
700			_aC B Morrey
942			_2lcc _cBK
999			_c1961 _d1961