Calculus Early Transcendentals – James Stewart – 8th Edition

Description

Success in your calculus course starts here! James Stewart’s CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.

In the Eighth Edition of CALCULUS: EARLY TRANSCENDENTALS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart’s texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart’s writing and presentation serve to enhance understanding and build confidence.

Table of Contents

A Preview of Calculus
Ch 1: Functions and Models
Ch 1: Introduction
1.1: Four Ways to Represent a Function
1.1: Exercises
1.2: Mathematical Models: A Catalog of Essential Functions
1.2: Exercises
1.3: New Functions from Old Functions
1.3: Exercises
1.4: Exponential Functions
1.4: Exercises
1.5: Inverse Functions and Logarithms
1.5: Exercises
Ch 1: Review
Principles of Problem Solving

Ch 2: Limits and Derivatives
Ch 2: Introduction
2.1: The Tangent and Velocity Problems
2.1: Exercises
2.2: The Limit of a Function
2.2: Exercises
2.3: Calculating Limits Using the Limit Laws
2.3: Exercises
2.4: The Precise Definition of a Limit
2.4: Exercises
2.5: Continuity
2.5: Exercises
2.6: Limits at Infinity; Horizontal Asymptotes
2.6: Exercises
2.7: Derivatives and Rates of Change
2.7: Exercises
2.8: The Derivative as a Function
2.8: Exercises
Ch 2: Review
Ch 2: Problems Plus

Ch 3: Differentiation Rules
Ch 3: Introduction
3.1: Derivatives of Polynomials and Exponential Functions
3.1: Exercises
3.2: The Product and Quotient Rules
3.2: Exercises
3.3: Derivatives of Trigonometric Functions
3.3: Exercises
3.4: The Chain Rule
3.4: Exercises
3.5: Implicit Differentiation
3.5: Exercises
3.6: Derivatives of Logarithmic Functions
3.6: Exercises
3.7: Rates of Change in the Natural and Social Sciences
3.7: Exercises
3.8: Exponential Growth and Decay
3.8: Exercises
3.9: Related Rates
3.9: Exercises
3.10: Linear Approximations and Differentials
3.10: Exercises
3.11: Hyperbolic Functions
3.11: Exercises
Ch 3: Review
Ch 3: Problems Plus

Ch 4: Applications of Differentiation
Ch 4: Introduction
4.1: Maximum and Minimum Values
4.1: Exercises
4.2: The Mean Value Theorem
4.2: Exercises
4.3: How Derivatives Affect the Shape of a Graph
4.3: Exercises
4.4: Indeterminate Forms and l’Hospital’s Rule
4.4: Exercises
4.5: Summary of Curve Sketching
4.5: Exercises
4.6: Graphing with Calculus and Calculators
4.6: Exercises
4.7: Optimization Problems
4.7: Exercises
4.8: Newton’s Method
4.8: Exercises
4.9: Antiderivatives
4.9: Exercises
Ch 4: Review
Ch 4: Problems Plus

Ch 5: Integrals
Ch 5: Introduction
5.1: Areas and Distances
5.1: Exercises
5.2: The Definite Integral
5.2: Exercises
5.3: The Fundamental Theorem of Calculus
5.3: Exercises
5.4: Indefinite Integrals and the Net Change Theorem
5.4: Exercises
5.5: The Substitution Rule
5.5: Exercises
Ch 5: Review
Ch 5: Problems Plus

Ch 6: Applications of Integration
Ch 6: Introduction
6.1: Areas Between Curves
6.1: Exercises
6.2: Volumes
6.2: Exercises
6.3: Volumes by Cylindrical Shells
6.3: Exercises
6.4 Work
6.4: Exercises
6.5: Average Value of a Function
6.5: Exercises
Ch 6: Review
Ch 6: Problems Plus

Ch 7: Techniques of Integration
Ch 7: Introduction
7.1: Integration by Parts
7.1: Exercises
7.2: Trigonometric Integrals
7.2: Exercises
7.3: Trigonometric Substitution
7.3: Exercises
7.4: Integration of Rational Functions by Partial Fractions
7.4: Exercises
7.5: Strategy for Integration
7.5: Exercises
7.6: Integration Using Tables and Computer Algebra Systems
7.6: Exercises
7.7: Approximate Integration
7.7: Exercises
7.8: Improper Integrals
7.8: Exercises
Ch 7: Review
Ch 7: Problems Plus

Ch 8: Further Applications of Integration
Ch 8: Introduction
8.1: Arc Length
8.1: Exercises
8.2: Area of a Surface of Revolution
8.2: Exercises
8.3: Applications to Physics and Engineering
8.3: Exercises
8.4: Applications to Economics and Biology
8.4: Exercises
8.5: Probability
8.5: Exercises
Ch 8: Review
Ch 8: Problems Plus

Ch 9: Differential Equations
Ch 9: Introduction
9.1: Modeling with Differential Equations
9.1: Exercises
9.2: Direction Fields and Euler’s Method
9.2: Exercises
9.3: Separable Equations
9.3: Exercises
9.4: Models for Population Growth
9.4: Exercises
9.5: Linear Equations
9.5: Exercises
9.6: Predator-Prey Systems
9.6: Exercises
Ch 9: Review
Ch 9: Problems Plus

Ch 10: Parametric Equations and Polar Coordinates
Ch 10: Introduction
10.1: Curves Defined by Parametric Equations
10.1: Exercises
10.2: Calculus with Parametric Curves
10.2: Exercises
10.3: Polar Coordinates
10.3: Exercises
10.4: Areas and Lengths in Polar Coordinates
10.4: Exercises
10.5: Conic Sections
10.5: Exercises
10.6: Conic Sections in Polar Coordinates
10.6: Exercises
Ch 10: Review
Ch 10: Problems Plus

Ch 11: Infinite Sequences and Series
Ch 11: Introduction
11.1: Sequences
11.1: Exercises
11.2: Series
11.2: Exercises
11.3: The Integral Test and Estimates of Sums
11.3: Exercises
11.4: The Comparison Tests
11.4: Exercises
11.5: Alternating Series
11.5: Exercises
11.6: Absolute Convergence and the Ratio and Root Tests
11.6: Exercises
11.7: Strategy for Testing Series
11.7: Exercises
11.8: Power Series
11.8: Exercises
11.9: Representations of Functions as Power Series
11.9: Exercises
11.10: Taylor and Maclaurin Series
11.10: Exercises
11.11: Applications of Taylor Polynomials
11.11: Exercises
Ch 11: Review
Ch 11: Problems Plus

Appendixes
Appendix A: Numbers, Inequalities, and Absolute Values
Appendix B: Coordinate Geometry and Lines
Appendix C: Graphs of Second-Degree Equations
Appendix D: Trigonometry
Appendix E: Sigma Notation
Appendix F: Proofs of Theorems
Appendix G: The Logarithm Defined as an Integral
Appendix H: Complex Numbers
Appendix I: Answers to Odd-Numbered Exercises
Index

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