Thomas' Calculus, Multivariable:

ISBN-10: 0321884051
ISBN-13: 9780321884053
Edition: 2013
List price: $122.67 Buy it from $50.80 Rent it from $69.93
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Description: This text is designed for the multivariable component a three-semester or four-quarter calculus course (math, engineering, and science majors). Thomas’ Calculus, Multivariable, Thirteenth Edition, introduces readers to the intrinsic beauty of  More...

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Book details

List price: $122.67
Copyright year: 2013
Publisher: Pearson College Div
Binding: Paperback
Size: 8.25" wide x 10.50" long x 1.00" tall
Weight: 2.442
Language: English

This text is designed for the multivariable component a three-semester or four-quarter calculus course (math, engineering, and science majors). Thomas’ Calculus, Multivariable, Thirteenth Edition, introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded–always with the goal of developing technical competence while furthering readers’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's learners. 

Infinite Sequences and Series
Sequences
Infinite Series
The Integral Test
Comparison Tests
Absolute Convergence; The Ratio and Root Tests
Alternating Series and Conditional Convergence
Power Series
Taylor and Maclaurin Series
Convergence of Taylor Series
The Binomial Series and Applications of Taylor Series
Parametric Equations and Polar Coordinates
Parametrizations of Plane Curves
Calculus with Parametric Curves
Polar Coordinates
Graphing Polar Coordinate Equations
Areas and Lengths in Polar Coordinates
Conic Sections
Conics in Polar Coordinates
Vectors and the Geometry of Space
Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Lines and Planes in Space
Cylinders and Quadric Surfaces
Vector-Valued Functions and Motion in Space
Curves in Space and Their Tangents
Integrals of Vector Functions; Projectile Motion
Arc Length in Space
Curvature and Normal Vectors of a Curve
Tangential and Normal Components of Acceleration
Velocity and Acceleration in Polar Coordinates
Partial Derivatives
Functions of Several Variables
Limits and Continuity in Higher Dimensions
Partial Derivatives
The Chain Rule
Directional Derivatives and Gradient Vectors
Tangent Planes and Differentials
Extreme Values and Saddle Points
Lagrange Multipliers
Taylor's Formula for Two Variables
Partial Derivatives with Constrained Variables
Multiple Integrals
Double and Iterated Integrals over Rectangles
Double Integrals over General Regions
Area by Double Integration
Double Integrals in Polar Form
Triple Integrals in Rectangular Coordinates
Moments and Centers of Mass
Triple Integrals in Cylindrical and Spherical Coordinates
Substitutions in Multiple Integrals
Integrals and Vector Fields
Line Integrals
Vector Fields and Line Integrals: Work, Circulation, and Flux
Path Independence, Conservative Fields, and Potential Functions
Green's Theorem in the Plane
Surfaces and Area
Surface Integrals
Stokes' Theorem
The Divergence Theorem and a Unified Theory

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