Mathematical Analysis provides a transition from elementary calculus to advanced courses in real nad 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. Table of Contents: The Real and Complex Number Systems / Some Basic Notions of Set Theory / Elements of Point Set Topology / Limits and Continuity / Derivatives / Functions of Bounded Variation and Reftifiable Curves / The Riemann-Stieltjes Integral / Infinite Series and Infinite Products / Sequences of Functions / The Lebesgue Integral / Fourier Series and Fourier Integrals / Multivariable Differential Calculus / Implicit Functions and Extremum Problems / Multiple Riemann Integrals / Multiple Lebesgue Integrals / Cauchy’s Theorem and the Residue Calculus / Suggested Exercises / Index of Special Symbols / Index. Audience: Postgraduate students
You are previewing: Mathematical Analysis 2nd edition, 1974 by T.M. Apostol
Mathematical Analysis 2nd edition, 1974 by T.M. Apostol
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Mathematical Analysis 2nd edition, 1974 by T.M. Apostol
Mathematical Analysis provides a transition from elementary calculus to advanced courses in real nad 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. Table of Contents: The Real and Complex Number Systems / Some Basic Notions of Set Theory / Elements of Point Set Topology / Limits and Continuity / Derivatives / Functions of Bounded Variation and Reftifiable Curves / The Riemann-Stieltjes Integral / Infinite Series and Infinite Products / Sequences of Functions / The Lebesgue Integral / Fourier Series and Fourier Integrals / Multivariable Differential Calculus / Implicit Functions and Extremum Problems / Multiple Riemann Integrals / Multiple Lebesgue Integrals / Cauchy’s Theorem and the Residue Calculus / Suggested Exercises / Index of Special Symbols / Index. Audience: Postgraduate students
| Format | |
|---|---|
| ISBN 10 | 818501566X |
| ISBN 13 | 978-8185015668 |
| Language | English |
| Pages | 505 |
| Published | 1974 |
| Size | 7.8MB |
| Author |
Tom M. Apostol |
| Publisher |
Narosa |
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