Buch, Englisch, 642 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 2020 g
Buch, Englisch, 642 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 2020 g
Reihe: Undergraduate Texts in Mathematics
ISBN: 978-1-4419-2853-5
Verlag: Springer
This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.
From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Weitere Infos & Material
One Review of Calculus.- 0 Sets and Mappings.- I Real Numbers.- II Limits and Continuous Functions.- III Differentiation.- IV Elementary Functions.- V The Elementary Real Integral.- Two Convergence.- VI Normed Vector Spaces.- VII Limits.- VIII Compactness.- IX Series.- X The Integral in One Variable.- Three Applications of the Integral.- XI Approximation with Convolutions.- XII Fourier Series.- XIII Improper Integrals.- XIV The Fourier Integral.- Four Calculus in Vector Spaces.- XV Functions on n-Space.- XVI The Winding Number and Global Potential Functions.- XVII Derivatives in Vector Spaces.- XVIII Inverse Mapping Theorem.- XIX Ordinary Differential Equations.- Five Multiple Integration.- XX Multiple Integrals.- XXI Differential Forms.
