Calculus: Several Variables, 9th Edition,9780471449706

Calculus: Several Variables, 9th Edition

by ; ;
Edition: 9th
ISBN13: 9780471449706
ISBN10: 0471449709
Format: Hardcover
Pub. Date: 2003-02-01
Publisher(s): WILEY
List Price: $182.31

Rent Textbook

Select for Price
Add to Cart
There was a problem. Please try again later.

New Textbook

We're Sorry
Sold Out

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

Buy from our Marketplace starting at $43.55

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

A new revision of this successful classic text known for its elegant writing style, precision and perfect balance of theory and applications. This Ninth Edition is refined to offer students an even clearer understanding of calculus and insight into mathematics. It includes a wealth of rich problem sets which give relevance to calculus for students. Salas, Hille. and Etgen are recognized for their mathematical integrity, accuracy, and clarity. Key features that make this text an outstanding learning tool include: Precision and Clarity: Emphasis on mathematical exposition -- an accurate and understandable treatment of topics. Accessibility: Completely accessible to the beginning calculus student without sacrificing approximate mathematics. Balance of Theory and Applications: Problems drawn from the sciences and engineering are used to motivate calculus concepts which are then applied to a variety of disciplines through examples and exercises.

Table of Contents

Vectors
706(56)
Cartesian Space Coordinates
706(5)
Displacements and Forces
711(2)
Vectors
713(8)
The Dot Product
721(11)
Work
731(1)
The Cross Product
732(9)
Torque
740(1)
Lines
741(9)
Planes
750(12)
Some Geometry by Vector Methods
759(1)
Chapter Highlights
760(2)
Vector Calculus
762(58)
Vector Functions
762(9)
Differentiation Formulas
771(5)
Curves
776(10)
Arc Length
786(8)
Curvilinear Motion; Curvature
794(11)
Transition Curves
805(1)
Vector Calculus in Mechanics
805(8)
Planetary Motion
813(7)
Chapter Highlights
819(1)
Functions of Several Variables
820(41)
Elementary Examples
820(4)
A Brief Catalogue of Quadric Surfaces; Projections
824(6)
Graphs; Level Curves and Level Surfaces
830(9)
Partial Derivatives
839(8)
Open Sets and Closed Sets
847(3)
Limits and Continuity; Equality of Mixed Partials
850(11)
Partial Differential Equations
859(1)
Chapter Highlights
860(1)
Gradients; Extreme Values; Differentials
861(81)
Differentiability and Gradient
861(8)
Points Where f = 0
867(2)
Gradients and Directional Derivatives
869(10)
The Mean-Value Theorem; Chain Rules
879(14)
The Gradient as a Normal; Tangent Lines and Tangent Planes
893(10)
Local Extreme Values
903(8)
Absolute Extreme Values
911(6)
Maxima and Minima with Side Conditions
917(8)
Maxima and Minima with Two Side Conditions
925(1)
Differentials
925(6)
Reconstructing a Function from its Gradient
931(11)
Chapter Highlights
939(1)
Skill Mastery Review: Vectors; Vector Functions; Partial Differentiation; Gradients
940(2)
Double and Triple Integrals
942(77)
Multiple-Sigma Notation
942(3)
The Double Integral
945(12)
The Evaluation of a Double Integral by Repeated Integrals
957(12)
Numerical Methods for Double Integrals
968(1)
Double Integrals in Polar Coordinates
969(7)
Some Applications of Double Integration
976(7)
Triple Integrals
983(5)
Reduction to Repeated Integrals
988(9)
Triple Integrals in Cylindrical Coordinates
997(7)
The Triple Integral as the Limit of Riemann Sums; Spherical Coordinates
1004(7)
Jacobians; Changing Variables in Multiple Integration
1011(8)
Generalized Polar Coordinates
1017(1)
Chapter Highlights
1017(2)
Line Integrals and Surface Integrals
1019(77)
Line Integrals
1019(9)
The Fundamental Theorem for Line Integrals
1028(4)
Work-Energy Formula; Conservation of Mechanical Energy
1032(3)
Line Integrals with Respect to Arc Length
1035(6)
Green's Theorem
1041(10)
The Folium of Descartes
1050(1)
Parametrized Surfaces; Surface Area
1051(12)
Surface Integrals
1063(11)
The Vector Differential Operator
1074(5)
The Divergence Theorem
1079(7)
Stokes's Theorem
1086(10)
Chapter Highlights
1093(1)
Skill Mastery Review: Multiple Integrals; Line and Surface Integrals
1094(2)
Elementary Differential Equations
1096
Introduction
1096(3)
Bernoulli Equations; Homogeneous Equations; Numerical Methods
1099(9)
Direction Fields
1107(1)
Exact Differential Equations
1108(5)
The Equation y`` + ay' + by = 0
1113(9)
The Equation y'' + ay' + by = Φ(x)
1122(8)
Mechanical Vibrations
1130
Chapter Highlights
1139
APPENDIX A. SOME ADDITIONAL TOPICS
1(8)
A.1 Rotation of Axes; Equations of Second Degree
1(4)
A.2 Determinants
5(4)
APPENDIX B. SOME ADDITIONAL PROOFS
9(7)
B.1 The Intermediate Value Theorem
9(1)
B.2 Boundedness; Extreme-Value Theorem
10(1)
B.3 Inverses
11(1)
B.4 The Integrability of Continuous Functions
12(3)
B.5 The Integral as the Limit of Riemann Sums
15(1)
Answers to Odd-Numbered Exercises 16
Index 1

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.