CART

(0) items

Vector Calculus,9780321780652
This item qualifies for
FREE SHIPPING!

FREE SHIPPING OVER $59!

Your order must be $59 or more, you must select US Postal Service Shipping as your shipping preference, and the "Group my items into as few shipments as possible" option when you place your order.

Bulk sales, PO's, Marketplace Items, eBooks, Apparel, and DVDs not included.

Vector Calculus

by
Edition:
4th
ISBN13:

9780321780652

ISBN10:
0321780655
Format:
Hardcover
Pub. Date:
9/28/2011
Publisher(s):
Pearson
Includes 2-weeks free access to
step-by-step solutions for this book.
Step-by-Step solutions are actual worked out problems to the questions at the end of each chapter that help you understand your homework and study for your exams. Chegg and eCampus are providing you two weeks absolutely free. 81% of students said using Step-by-Step solutions prepared them for their exams.
List Price: $192.67

Rent Textbook

(Recommended)
 
Term
Due
Price
$105.97

Buy New Textbook

Currently Available, Usually Ships in 24-48 Hours
N9780321780652
$184.04

eTextbook

Downloadable Offline Access
  • Apple Devices
  • Android Devices
  • Windows Devices
  • Mac Devices

 
Duration
Price
$85.94

Used Textbook

We're Sorry
Sold Out

More New and Used
from Private Sellers
Starting at $189.15
See Prices

Questions About This Book?

Why should I rent this book?
Renting is easy, fast, and cheap! Renting from eCampus.com can save you hundreds of dollars compared to the cost of new or used books each semester. At the end of the semester, simply ship the book back to us with a free UPS shipping label! No need to worry about selling it back.
How do rental returns work?
Returning books is as easy as possible. As your rental due date approaches, we will email you several courtesy reminders. When you are ready to return, you can print a free UPS shipping label from our website at any time. Then, just return the book to your UPS driver or any staffed UPS location. You can even use the same box we shipped it in!
What version or edition is this?
This is the 4th edition with a publication date of 9/28/2011.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. You may receive a brand new copy, but typically, only the book itself.

Related Products


  • Vector Calculus
    Vector Calculus
  • Vector Calculus
    Vector Calculus




Summary

Vector Calculus, Fourth Edition, uses the language and notation of vectors and matrices to teach multivariable calculus. It is ideal for students with a solid background in single-variable calculus who are capable of thinking in more general terms about the topics in the course. This text is distinguished from others by its readable narrative, numerous figures, thoughtfully selected examples, and carefully crafted exercise sets. Colley includes not only basic and advanced exercises, but also mid-level exercises that form a necessary bridge between the two.

Author Biography

Susan Colley is the Andrew and Pauline Delaney Professor of Mathematics at Oberlin College and currently Chair of the Department, having also previously served as Chair. She received S.B. and Ph.D. degrees in mathematics from the Massachusetts Institute of Technology prior to joining the faculty at Oberlin in 1983. Her research focuses on enumerative problems in algebraic geometry, particularly concerning multiple-point singularities and higher-order contact of plane curves. Professor Colley has published papers on algebraic geometry and commutative algebra, as well as articles on other mathematical subjects. She has lectured internationally on her research and has taught a wide range of subjects in undergraduate mathematics. Professor Colley is a member of several professional and honorary societies, including the American Mathematical Society, the Mathematical Association of America, Phi Beta Kappa, and Sigma Xi.

Table of Contents

1. Vectors

1.1 Vectors in Two and Three Dimensions

1.2 More About Vectors

1.3 The Dot Product

1.4 The Cross Product

1.5 Equations for Planes; Distance Problems

1.6 Some n-dimensional Geometry

1.7 New Coordinate Systems

True/False Exercises for Chapter 1

Miscellaneous Exercises for Chapter 1

 

2. Differentiation in Several Variables

2.1 Functions of Several Variables;Graphing Surfaces

2.2 Limits

2.3 The Derivative

2.4 Properties; Higher-order Partial Derivatives

2.5 The Chain Rule

2.6 Directional Derivatives and the Gradient

2.7 Newton's Method (optional)

True/False Exercises for Chapter 2

Miscellaneous Exercises for Chapter 2

 

3. Vector-Valued Functions

3.1 Parametrized Curves and Kepler's Laws

3.2 Arclength and Differential Geometry

3.3 Vector Fields: An Introduction

3.4 Gradient, Divergence, Curl, and the Del Operator

True/False Exercises for Chapter 3

Miscellaneous Exercises for Chapter 3

 

4. Maxima and Minima in Several Variables

4.1 Differentials and Taylor's Theorem

4.2 Extrema of Functions

4.3 Lagrange Multipliers

4.4 Some Applications of Extrema

True/False Exercises for Chapter 4

Miscellaneous Exercises for Chapter 4

 

5. Multiple Integration

5.1 Introduction: Areas and Volumes

5.2 Double Integrals

5.3 Changing the Order of Integration

5.4 Triple Integrals

5.5 Change of Variables

5.6 Applications of Integration

5.7 Numerical Approximations of Multiple Integrals (optional)

True/False Exercises for Chapter 5

Miscellaneous Exercises for Chapter 5

 

6. Line Integrals

6.1 Scalar and Vector Line Integrals

6.2 Green's Theorem

6.3 Conservative Vector Fields

True/False Exercises for Chapter 6

Miscellaneous Exercises for Chapter 6

 

7. Surface Integrals and Vector Analysis

7.1 Parametrized Surfaces

7.2 Surface Integrals

7.3 Stokes's and Gauss's Theorems

7.4 Further Vector Analysis; Maxwell's Equations

True/False Exercises for Chapter 7

Miscellaneous Exercises for Chapter 7

 

8. Vector Analysis in Higher Dimensions

8.1 An Introduction to Differential Forms

8.2 Manifolds and Integrals of k-forms

8.3 The Generalized Stokes's Theorem

True/False Exercises for Chapter 8

Miscellaneous Exercises for Chapter 8

 

Suggestions for Further Reading

Answers to Selected Exercises

Index


Please wait while the item is added to your cart...