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Single Variable Calculus Early Transcendentals (with Tools for Enriching Calculus, Video Skillbuilder CD-ROM, iLrn™ Homework, and Personal Tutor),9780534393304
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Single Variable Calculus Early Transcendentals (with Tools for Enriching Calculus, Video Skillbuilder CD-ROM, iLrn™ Homework, and Personal Tutor)

by
Edition:
5th
ISBN13:

9780534393304

ISBN10:
0534393306
Format:
Hardcover
Pub. Date:
12/16/2002
Publisher(s):
Cengage Learning
List Price: $307.99

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Summary

This edition of James Stewart's best-selling calculus book has been revised with the consistent dedication to excellence that has characterized all his books. Stewart's Calculus is successful throughout the world because he explains the material in a way that makes sense to a wide variety of readers. His explanations make ideas come alive, and his problems challenge, to reveal the beauty of calculus. Stewart's examples stand out because they are not just models for problem solving or a means of demonstrating techniques--they also encourage readers to develp an analytic view of the subject. This edition includes new problems, examples, and projects. This version of Stewart's book introduced exponential and logarithmic functions in the first chapter and their limits and derivatives are found in Chapters 2 and 3.

Table of Contents

Preface xiii
To the Student xxiv
A Preview of Calculus 2(8)
Functions and Models
10(76)
Four Ways to Represent a Function
11(14)
Mathematical Models: A Catalog of Essential Functions
25(13)
New Functions from Old Functions
38(10)
Graphing Calculators and Computers
48(7)
Exponential Functions
55(8)
Inverse Functions and Logarithms
63(23)
Review
77(3)
Principles of Problem Solving
80(6)
Limits and Derivatives
86(96)
The Tangent and Velocity Problems
87(5)
The Limit of a Function
92(12)
Calculating Limits Using the Limit Laws
104(10)
The Precise Definition of a Limit
114(10)
Continuity
124(11)
Limits at Infinity; Horizontal Asymptotes
135(14)
Tangents, Velocities, and Other Rates of Change
149(9)
Derivatives
158(7)
Writing Project Early Methods for Finding Tangents
164(1)
The Derivative as a Function
165(17)
Review
176(4)
Problems Plus
180(2)
Differentiation Rules
182(96)
Derivatives of Polynomials and Exponential Functions
183(9)
The Product and Quotient Rules
192(7)
Rates of Change in the Natural and Social Sciences
199(12)
Derivatives of Trigonometric Functions
211(6)
The Chain Rule
217(10)
Implicit Differentiation
227(9)
Higher Derivatives
236(8)
Applied Project Where Should a Pilot Start Descent?
243(1)
Applied Project Building a Better Roller Coaster
243(1)
Derivatives of Logarithmic Functions
244(6)
Hyperbolic Functions
250(6)
Related Rates
256(6)
Linear Approximations and Differentials
262(16)
Laboratory Project Taylor Polynomials
269(1)
Review
270(4)
Problems Plus
274(4)
Applications of Differentiation
278(90)
Maximum and Minimum Values
279(11)
Applied Project The Calculus of Rainbows
288(2)
The Mean Value Theorem
290(6)
How Derivatives Affect the Shape of a Graph
296(11)
Indeterminate Forms and L'Hospital's Rule
307(9)
Writing Project The Origins of L'Hospital's Rule
315(1)
Summary of Curve Sketching
316(8)
Graphing with Calculus and Calculators
324(7)
Optimization Problems
331(11)
Applied Project The Shape of a Can
341(1)
Applications to Business and Economics
342(5)
Newton's Method
347(6)
Antiderivatives
353(15)
Review
361(4)
Problems Plus
365(3)
Integrals
368(68)
Areas and Distances
369(11)
The Definite Integral
380(14)
Discovery Project Area Functions
393(1)
The Fundamental Theorem of Calculus
394(11)
Indefinite Integrals and the Net Change Theorem
405(9)
Writing Project Newton, Leibniz, and the Invention of Calculus
413(1)
The Substitution Rule
414(8)
The Logarithm Defined as an Integral
422(14)
Review
430(4)
Problems Plus
434(2)
Applications of Integration
436(38)
Areas between Curves
437(7)
Volumes
444(11)
Volumes by Cylindrical Shells
455(5)
Work
460(4)
Average Value of a Function
464(10)
Applied Project Where to Sit at the Movies
468(1)
Review
468(2)
Problems Plus
470(4)
Techniques of Integration
474(72)
Integration by Parts
475(7)
Trigonometric Integrals
482(7)
Trigonometric Substitution
489(7)
Integration of Rational Functions by Partial Fractions
496(9)
Strategy for Integration
505(6)
Integration Using Tables and Computer Algebra Systems
511(7)
Discovery Project Patterns in Integrals
517(1)
Approximate Integration
518(12)
Improper Integrals
530(16)
Review
540(3)
Problems Plus
543(3)
Further Applications of Integration
546(40)
Are Length
547(7)
Discovery Project Arc Length Contest
554(1)
Area of a Surface of Revolution
554(7)
Discovery Project Rotating on a Slant
560(1)
Applications to Physics and Engineering
561(10)
Applications to Economics and Biology
571(4)
Probability
575(11)
Review
582(2)
Problems Plus
584(2)
Differential Equations
586(64)
Modeling with Differential Equations
587(5)
Direction Fields and Euler's Method
592(9)
Separable Equations
601(10)
Applied Project How Fast Does a Tank Drain?
609(1)
Applied Project Which Is Faster, Going Up or Coming Down?
610(1)
Exponential Growth and Decay
611(12)
Applied Project Calculus and Baseball
622(1)
The Logistic Equation
623(9)
Linear Equations
632(6)
Predator-Prey Systems
638(12)
Review
644(4)
Problems Plus
648(2)
Parametric Equations and Polar Coordinates
650(50)
Curves Defined by Parametric Equations
651(9)
Laboratory Project Running Circles around Circles
659(1)
Calculus with Parametric Curves
660(9)
Laboratory Project Bezier Curves
669(1)
Polar Coordinates
669(10)
Areas and Lengths in Polar Coordinates
679(5)
Conic Sections
684(8)
Conic Sections in Polar Coordinates
692(8)
Review
696(3)
Problems Plus
699(1)
Infinite Sequences and Series
700
Sequences
701(12)
Laboratory Project Logistic Sequences
713(1)
Series
713(10)
The Integral Test and Estimates of Sums
723(7)
The Comparison Tests
730(5)
Alternating Series
735(5)
Absolute Convergence and the Ratio and Root Tests
740(7)
Strategy for Testing Series
747(2)
Power Series
749(5)
Representations of Functions as Power Series
754(6)
Taylor and Maclaurin Series
760(12)
Laboratory Project An Elusive Limit
772(1)
The Binomial Series
772(4)
Writing Project How Newton Discovered the Binomial Series
776(1)
Applications of Taylor Polynomials
776
Applied Project Radiation from the Stars
785(1)
Review
786(3)
Problems Plus
789
Appendixes 1(104)
A Numbers, Inequalities, and Absolute Values
2(8)
B Coordinate Geometry and Lines
10(6)
C Graphs of Second-Degree Equations
16(8)
D Trigonometry
24(10)
E Sigma Notation
34(5)
F Proofs of Theorems
39(8)
G Complex Numbers
47(8)
H Answers to Odd-Numbered Exercises
55(50)
Index 105


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