This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and wavelet theory. Features: The core subjects of real analysis. The fundamentals for students who are interested in harmonic analysis, probability or partial differential equations. This volume would be a suitable textbook for an advanced undergraduate or first year graduate course in analysis.
"synopsis" may belong to another edition of this title.
The presentation is clear and rigorous.
SIAM Revie
Text: English (translation)
Original Language: Japanese
"About this title" may belong to another edition of this title.
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Paperback. Condition: New. This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and, wavelet theory. Features of this title include the core subjects of real analysis and the fundamentals for students who are interested in harmonic analysis, probability or partial differential equations. This volume would be a suitable textbook for an advanced undergraduate or first year graduate course in analysis. Seller Inventory # LU-9780821821046
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Condition: New. Presents an introduction to real analysis. This text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; and distribution theory. Series: Translations of Mathematical Monographs Reprint. Num Pages: 256 pages. BIC Classification: PBKB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Weight in Grams: 487. . 2000. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821821046
Seller: Rarewaves.com UK, London, United Kingdom
Paperback. Condition: New. This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and, wavelet theory. Features of this title include the core subjects of real analysis and the fundamentals for students who are interested in harmonic analysis, probability or partial differential equations. This volume would be a suitable textbook for an advanced undergraduate or first year graduate course in analysis. Seller Inventory # LU-9780821821046
Quantity: 1 available
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Condition: New. Presents an introduction to real analysis. This text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; and distribution theory. Series: Translations of Mathematical Monographs Reprint. Num Pages: 256 pages. BIC Classification: PBKB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Weight in Grams: 487. . 2000. Paperback. . . . . Seller Inventory # V9780821821046
Quantity: 1 available