Tom M. Apostol
Mathematical analysis. 2nd ed - 2nd ed. - New Delhi: Narosa Publishing, [c1994] - 500 p
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
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.
818501566
Mathematics
QA300
Mathematical analysis. 2nd ed - 2nd ed. - New Delhi: Narosa Publishing, [c1994] - 500 p
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
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.
818501566
Mathematics
QA300