Herbert Amann: Analysis II | Taschenbuch

Cover: 9783764374723 | Analysis II | Herbert Amann (u. a.) | Taschenbuch | xii | Englisch

Rückseite: 9783764374723 | Analysis II | Herbert Amann (u. a.) | Taschenbuch | xii | Englisch

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Sprache: Englisch

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Beschreibung

The 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. The modern and clear development that started in Volume I is continued. In this way a sustainable basis is created which allows the reader to deal with interesting applications that sometimes go considerably beyond the material that is represented in traditional textbooks. This applies, for instance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. There are numerous examples with varying degrees of difficulty and many informative figures.

Zusammenfassung

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.

Erscheinungsjahr:	2008
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 400 S.
ISBN-13:	9783764374723
ISBN-10:	3764374721
Sprache:	Englisch
Herstellernummer:	11549628
Einband:	Kartoniert / Broschiert
Autor:	Amann, Herbert Escher, Joachim
Hersteller:	Birkhäuser Springer Basel AG
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	240 x 168 x 23 mm
Von/Mit:	Herbert Amann (u. a.)
Erscheinungsdatum:	16.05.2008
Gewicht:	0,695 kg