A Handbook of Real Variables | With Applications to Differential Equations and Fourier Analysis
Steven G. Krantz
ISBN 10: 081764329X ISBN 13: 9780817643294
Published by Birkhäuser Boston, 2003
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A Handbook of Real Variables | With Applications to Differential Equations and Fourier Analysis | Steven G. Krantz | Buch | xiii | Englisch | 2003 | Birkhäuser Boston | EAN 9780817643294 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 102537456
Synopsis:
The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. We learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools.
Product Description: Handbook Of Real Variables: With Applications To Differential Equations And Fourier Analysis by Krantz S., 9780817643294, Springer/Birkhauser
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Bibliographic Details
Title: A Handbook of Real Variables | With ...
Publisher: Birkhäuser Boston
Publication Date: 2003
Binding: Buch
Condition: Neu
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