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BuchKartoniert, Paperback
400 Seiten
Englisch
Springererschienen am16.05.2008
As with the first, the second volume contains substantially more material than can be covered in a one-semester course. We also extend great thanks to our staff for their careful perusal of the entire manuscript and for tracking errata and inaccuracies.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR90,94
E-BookPDF1 - PDF WatermarkE-Book
EUR90,94

Produkt

KlappentextAs with the first, the second volume contains substantially more material than can be covered in a one-semester course. We also extend great thanks to our staff for their careful perusal of the entire manuscript and for tracking errata and inaccuracies.
ZusammenfassungThe second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. It continues the modern and clear development that started in Volume I.
Details
ISBN/GTIN978-3-7643-7472-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2008
Erscheinungsdatum16.05.2008
Seiten400 Seiten
SpracheEnglisch
Gewicht713 g
IllustrationenXII, 400 p.
Artikel-Nr.10681012

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- VI. Integral Calculus in One Variable - 1. Step Continuous Functions - 2. Continuous Extensions - 3. The Cauchy-Riemann Integral - 4. Properties of the Integral - 5. The Technology of Integration - 6. Sums and Integrals - 7. Fourier Series - 8. Improper Integrals - 9. The Gamma Function.- VII. Differential Calculus in Several Variables - 1. Continuous Linear Mappings - 2. Differentiability - 3. Calculation Rules - 4. Multilinear Mappings - 5. Higher Derivatives - 6. Nemytski Operators and Calculus of Variations - 7. Inverse Mappings - 8. Implicit Functions - 9. Manifolds - 10. Tangents and Normals.- VIII. Line Integrals - 1. Curves and Their Length - 2. Curves in Rn - 3. Pfaff Forms - 4. Line Integrals - 5. Holomorphic Functions - 6. Meromorphic Functions.- Bibliography.- Index.mehr