Anthony W. Knapp

Basic Real Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

This work systematically develops the concepts and tools of real analysis vital to every mathematician, whether pure, applied, aspiring or established. It presents a comprehensive, global treatment of the subject, emphasizing the connections between analysis and other branches of mathematics. Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 656
• Erscheinungstermin: 4. Oktober 2007
• Englisch
• ISBN-13: 9780817644413
• Artikelnr.: 43732485

Autorenporträt

Anthony W. Knapp, State University of New York at Stony Brook, NY, USA

Inhaltsangabe

Theory of Calculus in One Real Variable.- Metric Spaces.- Theory of Calculus in Several Real Variables.- Theory of Ordinary Differential Equations and Systems.- Lebesgue Measure and Abstract Measure Theory.- Measure Theory for Euclidean Space.- Differentiation of Lebesgue Integrals on the Line.- Fourier Transform in Euclidean Space.- Lp Spaces.- Topological Spaces.- Integration on Locally Compact Spaces.- Hilbert and Banach Spaces.

Rezensionen

From the reviews:

"The volume contains more than 300 problems and a separate section gives hints or complete solutions to them. The book seems to be completely unified, carefully reasoned, rich in concepts, methods and results, and indubitably useful as for students in Real Analysis so also for teachers in this field."(Zentralblatt MATH)

"This book tries to develop concepts and tools in real analysis that are vital to every mathematician. ... The book contains more than 300 problems with hints and complete solutions for many of them." (A. Kriegl, Monatshefte für Mathematik, Vol. 151 (3), 2007)