An edition of Single Variable Calculus, Early Transcendentals (1991)

Single variable calculus

early transcendentals

2nd ed.

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Cover of: Single variable calculus by James Stewart, James Stewart
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Last edited by Drini
August 26, 2024 | History
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An edition of Single Variable Calculus, Early Transcendentals (1991)

Single variable calculus

early transcendentals

2nd ed.

by

  • 17 Want to read
  • 0 Currently reading
  • 0 Have read

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Publish Date
Publisher
Brooks/Cole Pub.
Language
English
Pages
629

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Subjects

Calculus, Textbooks, Problems, exercises, Calculus, problems, exercises, etc.

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Cover of: Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
2016, Cengage Learning
- Eighth Edition
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Cover of: Single variable calculus early transcendentals
Single variable calculus early transcendentals
2012, Cengage Learning
in English - California edition. 7th edition.
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Cover of: Single Variable Calculus, Early Transcendentals
Single Variable Calculus, Early Transcendentals
2012, Brooks/Cole Cengage Learning
in English - 7th ed., Student ed.
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Cover of: Single variable calculus
Single variable calculus: early transcendentals
2008, Thomson Brooks/Cole
in English - 6th ed.
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Cover of: Single variable calculus
Single variable calculus: early transcendentals
2003, Thomson Brooks/Cole, Brooks Cole
in English - 5th ed.
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Cover of: Single variable calculus
Single variable calculus: early transcendentals
1999, Brooks/Cole, Brooks/Cole Publishing Company
in English - 4th ed.
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Cover of: Single variable calculus
Single variable calculus: early transcendentals
1991, Brooks/Cole Pub.
in English - 2nd ed.
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Book Details

Table of Contents

Review and Preview
Page 2
1. Numbers, Inequalities, and Absolute Values
Page 3
2. Coordinate Geometry and Lines
Page 13
3. Graphs of Second-Degree Equations
Page 21
4. Functions and Their Graphs
Page 28
5. Combinations of Functions
Page 36
6. Types of Functions; Shifting and Scaling
Page 41
7. A Preview of Calculus
Page 47
Review
Page 54
Chapter 1. Limits and Rates of Change
Page 56
1.1. The Tangent and Velocity Problems
Page 57
1.2. The Limit of a Function
Page 61
1.3. Calculating Limits Using the Limit Laws
Page 69
1.4. The Precise Definition of a Limit
Page 79
1.5. Continuity
Page 86
1.6. Limits at Infinity; Horizontal Asymptotes
Page 96
1.7. Infinite Limits; Vertical Asymptotes
Page 104
1.8. Tangents, Velocities, and Other Rates of Change
Page 112
Review
Page 120
Chapter 2. Derivatives
Page 122
2.1. Derivatives
Page 123
2.2. Differentiation Formulas
Page 132
2.3. Rates of Change in the Natural and Social Sciences
Page 142
2.4. Derivatives of Trigonometric Functions
Page 152
2.5. The Chain Rule
Page 158
2.6. Implicit Differentiation
Page 166
2.7. Higher Derivatives
Page 172
2.8. Related Rates
Page 176
2.9. Differentials and Linear Approximations
Page 181
2.10. Newton's Method
Page 186
Review
Page 189
Problems Plus
Page 192
Chapter 3. Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
Page 194
3.1. Exponential Functions
Page 195
3.2. Derivatives of Exponential Functions
Page 199
3.3. Inverse Functions
Page 203
3.4. Logarithmic Functions
Page 210
3.5. Derivatives of Logarithmic Functions
Page 216
3.6. Exponential Growth and Decay
Page 223
3.7. Inverse Trigonometric Functions
Page 228
3.8. Hyperbolic Functions
Page 236
3.9. Indeterminate Forms and L'Hospital's Rule
Page 241
Review
Page 249
Applications Plus
Page 252
Chapter 4. The Mean Value Theorem and Curve Sketching
Page 256
4.1. Maximum and Minimum Values
Page 257
4.2. The Mean Value Theorem
Page 264
4.3. Monotonic Functions and the First Derivative Test
Page 269
4.4. Concavity and Points of Inflection
Page 275
4.5. Curve Sketching
Page 281
4.6. Applied Maximum and Minimum Problems
Page 290
4.7. Applications to Economics
Page 298
4.8. Antiderivatives
Page 302
Review
Page 309
Problems Plus
Page 312
Chapter 5. Integrals
Page 314
5.1. Sigma Notation
Page 315
5.2. Area
Page 320
5.3. The Definite Integral
Page 328
5.4. Properties of the Definite Integral
Page 335
5.5. The Fundamental Theorem of Calculus
Page 340
5.6. The Substitution Rule
Page 350
5.7. The Logarithm Defined as an Integral
Page 358
Review
Page 365
Applications Plus
Page 368
Chapter 6. Applications of Integration
Page 372
6.1. Areas between Curves
Page 373
6.2. Volume
Page 379
6.3. Volumes by Cylindrical Shells
Page 390
6.4. Work
Page 395
6.5. Average Value of a Function
Page 399
Review
Page 402
Problems Plus
Page 404
Chapter 7. Techniques of Integration
Page 406
7.1. Integration by Parts
Page 408
7.2. Trigonometric Integrals
Page 414
7.3. Trigonometric Substitution
Page 420
7.4. Integration of Rational Functions by Partial Fractions
Page 426
7.5. Rationalizing Substitutions
Page 435
7.6. Strategy for Integration
Page 438
7.7. Using Tables of Integrals
Page 443
7.8. Approximate Integration
Page 446
7.9. Improper Integrals
Page 456
Review
Page 465
Applications Plus
Page 468
Chapter 8. Further Applications of Integration
Page 470
8.1. Differential Equations
Page 471
8.2. Arc Length
Page 480
8.3. Area of a Surface of Revolution
Page 486
8.4. Moments and Centers of Mass
Page 491
8.5. Hydrostatic Pressure and Force
Page 499
8.6. Applications to Economics and Biology
Page 502
Review
Page 508
Problems Plus
Page 510
Chapter 9. Parametric Equations and Polar Coordinates
Page 512
9.1. Curves Defined by Parametric Equations
Page 513
9.2. Tangents and Areas
Page 517
9.3. Arc Length and Surface Area
Page 522
9.4. Polar Coordinates
Page 527
9.5. Areas and Lengths in Polar Coordinates
Page 535
9.6. Conic Sections
Page 540
9.7. Conic Sections in Polar Coordinates
Page 548
Review
Page 552
Applications Plus
Page 554
Chapter 10. Infinite Sequences and Series
Page 558
10.1. Sequences
Page 559
10.2. Series
Page 568
10.3. The Integral Test
Page 576
10.4. The Comparison Tests
Page 580
10.5. Alternating Series
Page 584
10.6. Absolute Convergence and the Ratio and Root Tests
Page 588
10.7. Strategy for Testing Series
Page 595
10.8. Power Series
Page 597
10.9. Taylor and Maclaurin Series
Page 602
10.10. The Binomial Series
Page 612
10.11. Approximation by Taylor Polynomials
Page 615
Review
Page 625
Problems Plus
Page 627
Appendixes
A. Review of Algebra
Page A2
B. Review of Trigonometry
Page A14
C. Proofs of Theorems
Page A24
D. Lies My Calculator or Computer Told Me
Page A35
E. Rotation of Axes
Page A42
F. Complex Numbers
Page A46
G. Table of Integrals
Page A54
H. Answers to Odd-Numbered Exercises
Page A59
Index
Page A97

Edition Notes

Includes index.

Published in
Pacific Grove, Calif

Classifications

Dewey Decimal Class
515
Library of Congress
QA303 .S8826 1991b

The Physical Object

Pagination
xvi, 629, 103 p. :
Number of pages
629

ID Numbers

Open Library
OL2028340M
Internet Archive
singlevariableca0000stew_j1f8
ISBN 10
0534164102
LCCN
91004474
OCLC/WorldCat
24545445
Library Thing
50557
Goodreads
1853231

Source records

Scriblio MARC record
Library of Congress MARC record
Internet Archive item record

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
August 26, 2024 Edited by Drini merge authors
August 26, 2024 Edited by Drini move to correct work
August 26, 2024 Edited by Drini Add TOC from Tocky
August 7, 2023 Edited by bitnapper merge authors
April 1, 2008 Created by an anonymous user Imported from Scriblio MARC record