Vector calculus
Başlık:
Vector calculus
Yazar:
Marsden, Jerrold E.
ISBN:
9780716718567
Ek Yazar:
Edition:
3rd ed.
Yayım Bilgisi:
New York : W.H. Freeman, c1988.
Fiziksel Tanım:
xiv, 655 p. : ill. ; 25 cm.
Added Author:
Mevcut:*
Library | Materyal Türü | Barkod | Yer Numarası | Durum |
|---|---|---|---|---|
Searching... Pamukkale Merkez Kütüphanesi | Kitap | 0043083 | QA303M338 1988 | Searching... Unknown |
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Table of Contents
| 1 The Geometry of Euclidean Space |
| 1.1 Vectors in Two- and Three-Dimensional Space |
| 1.2 The Inner Product, Length, and Distance |
| 1.3 Matrices, Determinants, and the Cross Product |
| 1.4 Cylindrical and Spherical Coordinates |
| 1.5 n-Dimensional Euclidean Space |
| 2 Differentiation Space |
| 2.1 The Geometry of Real-Valued Functions |
| 2.2 Limits and Continuity |
| 2.3 Differentiation |
| 2.4 Introduction to Paths |
| 2.5 Properties of the Derivative |
| 2.6 Gradients and Directional Derivatives |
| 3 Higher-Order Derivatives: Maxima and Minima |
| 3.1 Iterated Partial Derivatives |
| 3.2 Taylor's Theorem |
| 3.3 Extrema of Real-Valued Functions |
| 3.4 Constrained Extrema and Lagrange Multipliers |
| 3.5 The Implicit Function Theorem |
| 4 Vector-Valued Functions |
| 4.1 Acceleration and Newton's Second Law |
| 4.2 Arc Length |
| 4.3 Vector Fields |
| 4.4 Divergence and Curl |
| 5 Double and Triple Integrals |
| 5.1 Introduction |
| 5.2 The Double Integral Over a Rectangle |
| 5.3 The Double Integral Over More General Regions |
| 5.4 Changing the Order of Integration |
| 5.5 The Triple Integral |
| 6 The Change of Variables Formula and Applications of Integration |
| 6.1 The Geometry of Maps from R2 to R2 |
| 6.2 The Change of Variables Theorem |
| 6.3 Applications of Double and Triple |
| 6.4 Improper Integrals |
| 7 Integrals |
| 7.1 The Path Integral |
| 7.2 Line Integrals |
| 7.3 Parametrized Surfaces |
| 7.4 Area of a Surface |
| 7.5 Integrals of Scalar Functions Over Surfaces |
| 7.6 Surface Integrals of Vector Functions |
| 7.7 Applications to Differential Geometry, Physics and Forms of Life |
| 8 The Integral Theorems of Vector Analysis |
| 8.1 Green's Theorem |
| 8.2 Stokes' Theorem |
| 8.3 Conservative Fields |
| 8.4 Gauss' Theorem |
| 8.5 Applications to Physics, Engineering, and Differential Equations |
| 8.6 Differential Forms |
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