TY - BOOK AU - Tom M. Apostol TI - Mathematical analysis. 2nd ed SN - 818501566 AV - QA300 PY - 1994///] CY - New Delhi PB - Narosa Publishing KW - Mathematics N1 - Ch 1- The Real and Complex Number Systems Ch 2- Some Basic Notions of Set Theory Ch 3- Elements of Point Set Topology Ch 4- Limits and Continuity Ch 5- Derivatives Ch 6- Functions of Bounded Variation and Reftifiable Curves Ch 7- The Riemann-Stieltjes Integral Ch 8- Infinite Series and Infinite Products Ch 9- Sequences of Functions Ch 10- The Lebesgue Integral Ch 11- Fourier Series and Fourier Integrals Ch 12- Multivariable Differential Calculus Ch 13- Implicit Functions and Extremum Problems Ch 14- Multiple Riemann Integrals Ch 15- Multiple Lebesgue Integrals Ch 16- Cauchy's Theorem and the Residue Calculus N2 - Mathematical Analysis provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces readers to some of the abstract thinking that pervades modern analysis. The comprehensive text may also be used in analysis courses and as a supplementary text in courses in integration theory and complex analysis ER -