92800 Jürgen Jost POSTMODERN ANALYSIS - gebrauchtes Buch

EAN (ISBN-13): 9783540438731
ISBN (ISBN-10): 3540438734
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2003
Herausgeber: Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Buch in der Datenbank seit 2007-06-04T17:54:31+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-15T21:56:22+01:00 (Berlin)
ISBN/EAN: 3540438734

ISBN - alternative Schreibweisen:
3-540-43873-4, 978-3-540-43873-1
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: jost jürgen, jost jurgen, bourbaki
Titel des Buches: postmodern analysis

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Daten vom Verlag:

Autor/in: Jürgen Jost
Titel: Universitext; Postmodern Analysis
Verlag: Springer; Springer Berlin
371 Seiten
Erscheinungsjahr: 2002-10-28
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Italien.
Gewicht: 0,600 kg
Sprache: Englisch
87,99 € (DE)

BC; Book; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; differential calculus; calculus; partial differentia; Banach Space; Lebesgue integration; ordinary differential equation; banach spaces; integration; Implicit function; differential equation; calculus of variations; integral; maximum principle; Eigenvalue; B; Analysis; Mathematics and Statistics; Partial Differential Equations; Differentialrechnung und -gleichungen; BC; EA; BC

I. Calculus for Functions of One Variable.- 0. Prerequisites.- 1. Limits and Continuity of Functions.- 2. Differentiability.- 3. Characteristic Properties of Differentiable Functions. Differential Equations.- 4. The Banach Fixed Point Theorem. The Concept of Banach Space.- 5. Uniform Convergence. Interchangeability of Limiting Processes. Examples of Banach Spaces. The Theorem of Arzela-Ascoli.- 6. Integrals and Ordinary Differential Equations.- II. Topological Concepts.- 7. Metric Spaces: Continuity, Topological Notions, Compact Sets.- III. Calculus in Euclidean and Banach Spaces.- 8. Differentiation in Banach Spaces.- 9. Differential Calculus in ?d.- 10. The Implicit Function Theorem. Applications.- 11. Curves in ?d. Systems of ODEs.- IV. The Lebesgue Integral.- 12. Preparations. Semicontinuous Functions.- 13. The Lebesgue Integral for Semicontinuous Functions. The Volume of Compact Sets.- 14. Lebesgue Integrable Functions and Sets.- 15. Null Functions and Null Sets. The Theorem of Fubini.- 16. The Convergence Theorems of Lebesgue Integration Theory.- 17. Measurable Functions and Sets. Jensen’s Inequality. The Theorem of Egorov.- 18. The Transformation Formula.- V. Lp and Sobolev Spaces.- 19. The Lp-Spaces.- 20. Integration by Parts. Weak Derivatives. Sobolev Spaces.- VI. Introduction to the Calculus of Variations and Elliptic Partial Differential Equations.- 21. Hilbert Spaces. Weak Convergence.- 22. Variational Principles and Partial Differential Equations.- 23. Regularity of Weak Solutions.- 24. The Maximum Principle.- 25. The Eigenvalue Problem for the Laplace Operator.- Index of Notation.