Calculus On Manifolds
A Modern Approach To Classical Theorems Of Advanced Calculus
(Sprache: Englisch)
This little book is especially concerned with those portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approa
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This little book is especially concerned with those portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approaInhaltsverzeichnis zu „Calculus On Manifolds “
Functions on Euclidean Space * Norm and inner Product * Subsets of Euclidean Space * Functions and Continuity Differentiation * Basic Definitions * Basic Theorems * Partial Derivatives * Inverse Functions * Implicit Functions * Notation Integration * Basic Definitions * Measure Zero and Content Zero * Integrable Functions * Fubinis Theorem * Partitions of Unity * Change of Variable Integration on Chains * Algebraic Preliminaries * Fields and Forms * Geometric Preliminaries * The Fundamental Theorem of Calculus Integration on Manifolds * Manifolds * Fields and Forms on Manifolds * Stokes Theorem on Manifolds * The Volume Element * The Classical Theorems
Bibliographische Angaben
- Autor: Michael Spivak
- 162 Seiten, mit Abbildungen, Maße: 14,1 x 21,6 cm, Kartoniert (TB), Englisch
- Verlag: Taylor & Francis Inc
- ISBN-10: 0805390219
- ISBN-13: 9780805390216
- Erscheinungsdatum: 22.01.1971
Sprache:
Englisch
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