Calculus on manifolds : a modern approach to classical theorems of advanced calculus / Michael Spivak.
Series Mathematics monograph seriesEditor: New York : W. A. Benjamin, 1965Descripción: xii, 144 p. : il. ; 22 cmTema(s): Differential topology | CalculusOtra clasificación: 26-01 (57-01)1. Functions on Euclidean Space [1] NORM AND INNER PRODUCT, [1] SUBSETS OF EUCLIDEAN SPACE, [5] FUNCTIONS AND CONTINUITY, [11] 2. Differentiation [15] BASIC DEFINITIONS, [15] BASIC THEOREMS, [19] PARTIAL DERIVATIVES, [25] DERIVATIVES, [30] INVERSE FUNCTIONS, [34] IMPLICIT FUNCTIONS, [40] NOTATION, [44] 3. Integration [46] BASIC DEFINITIONS, [46] MEASURE ZERO AND CONTENT ZERO, [50] INTEGRABLE FUNCTIONS, [52] FUBINl’s THEOREM, [56] PARTITIONS OF UNITY, [63] CHANGE OF VARIABLE, [67] 4. Integration on Chains [75] ALGEBRAIC PRELIMINARIES, [75] FIELDS AND FORMS, [86] GEOMETRIC PRELIMINARIES, [97] THE FUNDAMENTAL THEOREM OF CALCULUS, [100] 5. Integration on Manifolds [109] MANIFOLDS, [109] FIELDS AND FORMS ON MANIFOLDS, [115] STOKES’ THEOREM ON MANIFOLDS, [122] THE VOLUME ELEMENT, [126] THE CLASSICAL THEOREMS, [134] Bibliography, [139] Index, [141]
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 26 Sp761 (Browse shelf) | Available | A-2618 |
Bibliografía: p. 139-140.
1. Functions on Euclidean Space [1] --
NORM AND INNER PRODUCT, [1] --
SUBSETS OF EUCLIDEAN SPACE, [5] --
FUNCTIONS AND CONTINUITY, [11] --
2. Differentiation [15] --
BASIC DEFINITIONS, [15] --
BASIC THEOREMS, [19] --
PARTIAL DERIVATIVES, [25] --
DERIVATIVES, [30] --
INVERSE FUNCTIONS, [34] --
IMPLICIT FUNCTIONS, [40] --
NOTATION, [44] --
3. Integration [46] --
BASIC DEFINITIONS, [46] --
MEASURE ZERO AND CONTENT ZERO, [50] --
INTEGRABLE FUNCTIONS, [52] --
FUBINl’s THEOREM, [56] --
PARTITIONS OF UNITY, [63] --
CHANGE OF VARIABLE, [67] --
4. Integration on Chains [75] --
ALGEBRAIC PRELIMINARIES, [75] --
FIELDS AND FORMS, [86] --
GEOMETRIC PRELIMINARIES, [97] --
THE FUNDAMENTAL THEOREM OF CALCULUS, [100] --
5. Integration on Manifolds [109] --
MANIFOLDS, [109] --
FIELDS AND FORMS ON MANIFOLDS, [115] --
STOKES’ THEOREM ON MANIFOLDS, [122] --
THE VOLUME ELEMENT, [126] --
THE CLASSICAL THEOREMS, [134] --
Bibliography, [139] --
Index, [141] --
MR, 35 #309
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