000			01622nam a22001697a 4500
005			20240904134437.0
008			240904b |||||||| |||| 00| 0 eng d
020			_a(pbk)
040			_cUE-CL
082			_a515.8 _bSh51
100			_aSherbert, Donald R.
245			_aIntroduction to Real Analysis _c/ Donald R. Sherbert
300			_a402 p.
505			_aContents Chapter 6:- Differentiation 6.1 The Derivative 6.2 The Mean Value Teorem 6.3 L'Hospital's Rules 6.4 Taylor's Theorem Chapter 7:- The Riemann Integral 7.1 Rieman Integral 7.2 Riemann Integable Functions 7.3 The Fundamental Theorem 7.4 The Darboux Integral 7.5 Approximate Integration Chapter 8:- Sequences of Functions 8.1 Pointwise and Uniform Convergence 8.2 Interchange of Limits 8.3 The Exponential and Logarithmic Functions 8.4 The Trignometric Functions Chapter 9:- Infinite Series 9.1 Absolute Convergence 9.2 Tests in absolute Convergence 9.3 Tests for Non-absolute Convergence 9.4 Series of Functions Chapter 10:- The Generalized Rieman Integral 10.1 Difinition and Main Properties 10.2 Improper and Lebesgue Integrals 10.3 Infinite Integrals 10.4 Convergence Theorems Chapter 11:- A Glimpse Into Topology 11.1 Open and Close Set of R 11.2 Compact Sets 11.3 Continuous Functions 11.4 Metric Spaces Appendix A:- Logic and Proofs Appendix B:- Finite and Countable Sets Appendix C:- The Rieman and Lebesgue Criteria Appendix D:- Approximate Integration Appendix E:- Two Examples References Photo Credits Hints for Selected Exercises Index
650			_aMathematics - Real Analysis
942			_cBK
999			_c24185 _d24184