Blank Brian E., Krantz Steven G. Calculus Multivariable

John Wiley & Sons. 2nd edition. 2011. 504 pages. ISBN: 0470453591; ISBN13: 9780470453599.
Covering key issues and fundamental topics, this book provides a classic approach to calculus.Cjntents.
Vectors.
Vectors in the Plane.
Vectors in Three-Dimensional Space.
The Dot Product and Applications.
The Cross Product and Triple Product.
Lines and Planes in Space.
Vector-Valued Functions.
Vector-Valued Functions-Limits, Derivatives, and Continuity.
Velocity and Acceleration.
Tangent Vectors and Arc Length.
Curvature.
Applications of Vector-Valued Functions to Motion.
Functions of Several Variables.
Functions of Several Variables.
Cylinders and Quadric Surfaces.
Limits and Continuity.
Partial Derivatives.
Differentiability and the Chain Rule.
Gradients and Directional Derivatives.
Tangent Planes.
Maximum-Minimum Problems.
Lagrange Multipliers.
Multiple Integrals.
Double Integrals Over Rectangular Regions.
Integration Over More General Regions.
Calculation of Volumes of Solids.
Polar Coordinates.
Integrating in Polar Coordinates.
Triple Integrals.
Physical Applications.
Other Coordinate Systems.
Vector Calculus.
Vector Fields.
Line Integrals.
Conservative Vector Fields and Path Independence.
Divergence, Gradient, and Curl.
Green's Theorem.
Surface Integrals.
Stokes's Theorem.
The Divergence Theorem.