Multivariable Calculus 9th Edition by James Stewart, Daniel Clegg, Saleem Watson ISBN 0357042921 9780357042922

Multivariable Calculus 9th Edition by James Stewart, Daniel K. Clegg, Saleem Watson – Ebook PDF Instant Download/Delivery. 0357042921, 978-0357042922
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Product details:

ISBN 10:       0357042921
ISBN 13: 978-0357042922
Author:         James Stewart, Daniel K. Clegg, Saleem Watson

Multivariable Calculus 9th Table of contents:

Chapter 1: Vectors and the Geometry of Space

• 1.1 Three-Dimensional Coordinate Systems
• 1.2 Vectors in Two and Three Dimensions
• 1.3 The Dot Product
• 1.4 The Cross Product
• 1.5 Equations of Lines and Planes in Space
• 1.6 Cylindrical and Spherical Coordinates

Chapter 2: Vector Functions and Parametric Equations

• 2.1 Vector-Valued Functions
• 2.2 Derivatives and Integrals of Vector Functions
• 2.3 Motion in Space: Velocity and Acceleration
• 2.4 Tangent Vectors and Normal Vectors
• 2.5 Curvature and Torsion
• 2.6 Applications of Vector Functions

Chapter 3: Partial Derivatives

• 3.1 Functions of Several Variables
• 3.2 Limits and Continuity
• 3.3 Partial Derivatives
• 3.4 Tangent Planes and Linear Approximations
• 3.5 The Chain Rule
• 3.6 Directional Derivatives and Gradient Vectors
• 3.7 Maximum and Minimum Values
• 3.8 Lagrange Multipliers

Chapter 4: Multiple Integrals

• 4.1 Double Integrals over Rectangular Regions
• 4.2 Double Integrals over General Regions
• 4.3 Applications of Double Integrals
• 4.4 Triple Integrals
• 4.5 Applications of Triple Integrals
• 4.6 Change of Variables in Multiple Integrals

Chapter 5: Vector Calculus

• 5.1 Line Integrals
• 5.2 Green’s Theorem
• 5.3 Curl and Divergence
• 5.4 Surface Integrals
• 5.5 Stokes’ Theorem
• 5.6 The Divergence Theorem

Chapter 6: Coordinate Systems

• 6.1 Cylindrical Coordinates
• 6.2 Spherical Coordinates
• 6.3 Applications of Cylindrical and Spherical Coordinates

Chapter 7: Functions of Several Variables

• 7.1 Limits and Continuity in Higher Dimensions
• 7.2 The Total Derivative
• 7.3 The Jacobian Matrix and Determinants
• 7.4 Implicit Function Theorem
• 7.5 Taylor Series Expansion

Chapter 8: Advanced Topics in Multivariable Calculus

• 8.1 Potential Functions
• 8.2 Conservative Vector Fields
• 8.3 Parametric Surfaces and Their Areas
• 8.4 Flux and Flow

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