An edition of Multivariable Calculus, Concepts and Contexts (1998)

Multivariable Calculus

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Cover of: Multivariable Calculus by James Stewart, James Stewart, Daniel K. Clegg, Saleem Watson
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Last edited by Drini
August 26, 2024 | History
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An edition of Multivariable Calculus, Concepts and Contexts (1998)

Multivariable Calculus

by

  • 31 Want to read
  • 4 Currently reading

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Publish Date
Publisher
Cengage Learning
Language
English
Pages
1408

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Previews available in: English

Subjects

Calculus, Textbooks

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Edition Availability
Cover of: Multivariable Calculus
Multivariable Calculus
2020, Cengage Learning
in English
Cover of: Multivariable Calculus: Concepts and Contexts
Multivariable Calculus: Concepts and Contexts
2010, Cengage Learning
in English - 4th Edition
Cover of: Multivariable calculus
Multivariable calculus: concepts and contexts
1998, Brooks/Cole
in English

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Book Details

Table of Contents

Preface
Page vii
Technology in the Ninth Edition
Page xvi
To the Student
Page xvii
10. Parametric Equations and Polar Coordinates
Page 661
10.1. Curves Defined by Parametric Equations
Page 662
Discovery Project: Running Circles Around Circles
Page 672
10.2. Calculus with Parametric Curves
Page 673
Discovery Project: Bézier Curves
Page 684
10.3. Polar Coordinates
Page 684
Discovery Project: Families of Polar Curves
Page 694
10.4. Calculus in Polar Coordinates
Page 694
10.5. Conic Sections
Page 702
10.6. Conic Sections in Polar Coordinates
Page 711
Review
Page 719
Problems Plus
Page 722
11. Sequences, Series, and Power Series
Page 723
11.1. Sequences
Page 724
Discovery Project: Logistic Sequences
Page 738
11.2. Series
Page 738
11.3. The Integral Test and Estimates of Sums
Page 751
11.4. The Comparison Tests
Page 760
11.5. Alternating Series and Absolute Convergence
Page 765
11.6. The Ratio and Root Tests
Page 774
11.7. Strategy for Testing Series
Page 779
11.8. Power Series
Page 781
11.9. Representations of Functions as Power Series
Page 787
11.10. Taylor and Maclaurin Series
Page 795
Discovery Project: An Elusive Limit
Page 810
11.10. Writing Project: How Newton Discovered the Binomial Series
Page 811
11.11. Applications of Taylor Polynomials
Page 811
Applied Project: Radiation from the Stars
Page 820
Review
Page 821
Problems Plus
Page 825
12. Vectors and the Geometry of Space
Page 829
12.1. Three-Dimensional Coordinate Systems
Page 830
12.2. Vectors
Page 836
Discovery Project: The Shape of a Hanging Chain
Page 846
12.3. The Dot Product
Page 847
12.4. The Cross Product
Page 855
Discovery Project: The Geometry of a Tetrahedron
Page 864
12.5. Equations of Lines and Planes
Page 864
Discovery Project: Putting 3D in Perspective
Page 874
12.6. Cylinders and Quadric Surfaces
Page 875
Review
Page 883
Problems Plus
Page 887
13. Vector Functions
Page 889
13.1. Vector Functions and Space Curves
Page 890
13.2. Derivatives and Integrals of Vector Functions
Page 898
13.3. Arc Length and Curvature
Page 904
13.4. Motion in Space: Velocity and Acceleration
Page 916
Applied Project: Kepler's Laws
Page 925
Review
Page 927
Problems Plus
Page 930
14. Partial Derivatives
Page 933
14.1. Functions of Several Variables
Page 934
14.2. Limits and Continuity
Page 951
14.3. Partial Derivatives
Page 961
Discovery Project: Deriving the Cobb-Douglas Production Function
Page 973
14.4. Tangent Planes and Linear Approximations
Page 974
Applied Project: The Speedo LZR Racer
Page 984
14.5. The Chain Rule
Page 985
14.6. Directional Derivatives and the Gradient Vector
Page 994
14.7. Maximum and Minimum Values
Page 1008
Discovery Project: Quadratic Approximations and Critical Points
Page 1019
14.8. Lagrange Multipliers
Page 1020
Applied Project: Rocket Science
Page 1028
Applied Project: Hydro-Turbine Optimization
Page 1030
Review
Page 1031
Problems Plus
Page 1035
15. Multiple Integrals
Page 1037
15.1. Double Integrals over Rectangles
Page 1038
15.2. Double Integrals over General Regions
Page 1051
15.3. Double Integrals in Polar Coordinates
Page 1062
15.4. Applications of Double Integrals
Page 1069
15.5. Surface Area
Page 1079
15.6. Triple Integrals
Page 1082
Discovery Project: Volumes of Hyperspheres
Page 1095
15.7. Triple Integrals in Cylindrical Coordinates
Page 1095
Discovery Project: The Intersection of Three Cylinders
Page 1101
15.8. Triple Integrals in Spherical Coordinates
Page 1102
Applied Project: Roller Derby
Page 1108
15.9. Change of Variables in Multiple Integrals
Page 1109
Review
Page 1117
Problems Plus
Page 1121
16. Vector Calculus
Page 1123
16.1. Vector Fields
Page 1124
16.2. Line Integrals
Page 1131
16.3. The Fundamental Theorem for Line Integrals
Page 1144
16.4. Green's Theorem
Page 1154
16.5. Curl and Divergence
Page 1161
16.6. Parametric Surfaces and Their Areas
Page 1170
16.7. Surface Integrals
Page 1182
16.8. Stokes' Theorem
Page 1195
16.9. The Divergence Theorem
Page 1201
16.10. Summary
Page 1208
Review
Page 1209
Problems Plus
Page 1213
Appendixes
F. Proofs of Theorems
Page A1
G. Answers to Odd-Numbered Exercises
Page A5
Index
Page A39

Classifications

Library of Congress
, QA303.2 .S735 2021

Edition Identifiers

Open Library
OL29826542M
ISBN 13
9780357042922
OCLC/WorldCat
1111378346

Work Identifiers

Work ID
OL16811570W

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August 26, 2024 Edited by Drini merge authors
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January 29, 2014 Created by TextMarlin Added new book.