Michael Spivak

Calculus On Manifolds

A Modern Approach To Classical Theorems Of Advanced Calculus

• Broschiertes Buch

Produktbeschreibung

This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

Produktdetails

• Verlag: Taylor & Francis Inc
• Seitenzahl: 162
• Erscheinungstermin: 22. Januar 1971
• Englisch
• Abmessung: 216mm x 141mm x 12mm
• Gewicht: 212g
• ISBN-13: 9780805390216
• ISBN-10: 0805390219
• Artikelnr.: 21864155

Autorenporträt

Michael Spivak

Inhaltsangabe

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