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Calculus Multivariable

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ISBN-10: 0547209975

ISBN-13: 9780547209975

Edition: 9th 2010

Authors: Ron Larson, Robert P. Hostetler, Bruce H. Edwards

List price: $281.95
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Description:

The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
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Book details

List price: $281.95
Edition: 9th
Copyright year: 2010
Publisher: Brooks/Cole
Publication date: 1/14/2009
Binding: Hardcover
Pages: 512
Size: 8.50" wide x 10.50" long x 0.90" tall
Weight: 2.684
Language: English

Ron Larson received his PhD. in mathematics from the University of Colorado and has been a professor of mathematics at The Pennsylvania State University since 1970. He has pioneered the use of multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson has also conducted numerous seminars and in-service workshops for math teachers around the country about using computer technology as a teaching tool and motivational aid. His Interactive Calculus (a complete text on CD-ROM) received the 1996 Texty Award for the most innovative mathematics instructional material at the college level, and it was the first mainstream college textbook to be…    

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.

Front Matter
Vectors and the Geometry of Space
Vectors in the Plane
Space Coordinates and Vectors in Space
The Dot Product of Two Vectors
The Cross Product of Two Vectors in Space
Lines and Planes in Space
Section Project: Distances in Space
Surfaces in Space
Cylindrical and Spherical Coordinates
Review Exercises
P.S. Problem Solving
Vector-Valued Functions
Vector-Valued Functions
Section Project: Witch of Agnesi
Differentiation and Integration of Vector-Valued Functions
Velocity and Acceleration
Tangent Vectors and Normal Vectors
Arc Length and Curvature
Review Exercises
P.S. Problem Solving
Functions of Several Variables
Introduction to Functions of Several Variables
Limits and Continuity
Partial Derivatives Section Project: Moir?
Fringes
Differentials
Chain Rules for Functions of Several Variables
Directional Derivatives and Gradients
Tangent Planes and Normal Lines
Section Project: Wildflowers
Extrema of Functions of Two Variables
Applications of Extrema of Functions of Two Variables
Section Project: Building a Pipeline
Lagrange Multipliers
Review Exercises
P.S. Problem Solving
Multiple Integration
Iterated Integrals and Area in the Plane
Double Integrals and Volume
Change of Variables: Polar Coordinates
Center of Mass and Moments of Inertia
Section Project: Center of Pressure on a Sail
Surface Area
Section Project: Capillary Action
Triple Integrals and Applications
Triple Integrals in Cylindrical and Spherical Coordinates
Section Project: Wrinkled and Bumpy Spheres
Change of Variables: Jacobians
Review Exercises
P.S. Problem Solving
Vector Analysis
Vector Fields
Line Integrals
Conservative Vector Fields and Independence of Path
Green's Theorem
Section Project: Hyperbolic and Trigonometric Functions
Parametric Surfaces
Surface Integrals
Section Project: Hyperboloid of One Sheet
Divergence Theorem
Stokes's Theorem
Review Exercises
Section Project: The Planimeter
P.S. Problem Solving
Bonus Online Material
Additional Topics in Differential Equations (please visit URL to come)
Exact First-Order Equations
Second-Order Homogeneous Linear Equations
Second-Order Nonhomogeneous Linear Equations
Section Project: Parachute Jump
Series Solutions of Differential Equations
Review Exercises
P.S. Problem Solving
Book Appendices
Proofs of Selected Theorems
Integration Tables
Online Appendices
Precalculus Review (please visit URL to come)
Real Numbers and the Real Number Line
The Cartesian Plane
Review of Trigonometric Functions
Rotation and the General Second-Degree Equation (please visit URL to come)
Complex Numbers (please visit URL to come)
Business and Economic Applications (please visit URL to come)