Mathematical Analysis
Material type:
TextPublication details: New Delhi: Narosa Publishing House, 1974Edition: 2nd edDescription: xix, 499 pagesISBN: 9788185015668; 818501566XDDC classification: 515 Summary: About the book: 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
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
Lending Books
|
Main Library Stacks | Reference | 515 APO (Browse shelf(Opens below)) | Available | 009597 | ||
Reference Books
|
Main Library Reference | Reference | 515 APO (Browse shelf(Opens below)) | Available | 009233 |
Includes Index
About the book: 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
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