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This ADVANTAGE SERIES edition of Swokowski's text is a truly valuable selection. Groundbreaking in every way when first published, this book is a simple, straightforward, direct calculus text. Its popularity is directly due to its broad use of applications, the easy-to-understand writing style, and the wealth of examples and exercises, which reinforce conceptualization of the subject matter. The author wrote this text with three objectives in mind. The first was to make the book more student-oriented by expanding discussions and providing more examples and figures to help clarify concepts. To further aid students, guidelines for solving problems were added in many sections of the text. The… More second objective was to stress the usefulness of calculus by means of modern applications of derivatives and integrals. The third objective, to make the text as accurate and error-free as possible, was accomplished by a careful examination of the exposition, combined with a thorough checking of each example and exercise. And,as part of the ADVANTAGE SERIES, this new version will offer all the quality content you've come to expect from Swokowski sold to your students at a significantly lower price.Less

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Book details

List price: $249.95 Edition: 5th Copyright year: 1991 Publisher: Brooks/Cole Publication date: 6/16/2000 Binding: Hardcover Pages: 1184 Size: 8.50" wide x 10.50" long x 1.70" tall Weight: 5.082 Language: English

AuthorTable of Contents

Earl Swokowski authored multiple editions of numerous successful textbooks, including CALCULUS; CALCULUS OF A SINGLE VARIABLE; FUNDAMENTALS OF COLLEGE ALGEBRA; and PRECALCULUS: FUNCTIONS AND GRAPHS, all published by Cengage Learning Brooks/Cole.

Precalculus Review

Algebra

Functions

Trigonometry

Limits of Functions

Introduction to Limits

Definition of Limits

Techniques for Finding Limits

Limits Involving Infinity

Continuous Functions

Review Exercises

The Derivative

Tangent Lines and Rates of Change

Definition of Derivative

Techniques of Differentiation

Derivatives of the Trigonometric Functions

Increments and Differentials

The Chain Rule

Implicit Differentiation

Related Rates

Review Exercises

Applications of the Derivative

Extrema of Functions

The Mean Value Theorem

The First Derivative Test

Concavity and the Second Derivative Test

Summary of Graphical Methods

Optimization Problems

Rectlinear Motion and Other Applications

Newton's Method

Review Exercises

Integrals

Antiderivatives and Indefinite Integrals

Change of Variables in Indefinite Integrals

Summation Notation and Area

The Definite Integral

Properties of the Definite Integral

The Fundamental Theorem of Calculus

Numerical Integration

Review Exercises

Applications of the Definite Integral

Area

Solids of Revolution

Volumes by Cylindrical Shells

Volumes by Cross Sections

Arc Length and Surfaces of Revolution

Work

Moments and Centers of Mass

Other Applications

Review Exercises

Logarithmic and Exponential Functions

Inverse Functions

The Natural Logarithmic Function

The Natural Exponential Function

Integration

General Exponential and Logarithmic Functions

Laws of Growth and Decay

Review Exercises

Inverse Trigonometric and Hyperbolic Functions

Inverse Trigonometric Functions

Derivative and Integrals

Hyperbolic Functions

Inverse Hyperbolic Functions

Review Exercises

Techniques of Integration

Integration by Parts

Trigonometric Integrals

Trigonometric Substitutions

Integrals of Rational Functions

Integrals Involving Quadratic Expressions

Miscellaneous Substitutions

Tables of Integrals

Review Exercises

Indeterminate Forms and Improper Integrals

The Indeterminate Forms 0/0 and ?/?

Other Indeterminate Forms

Integrals with Infinite Limits of Integration

Integrals with Discontinuous Integrands

Review Exercises

Infinite Series

Sequences

Convergent of Divergent Series

Positive-Term Series

The Rational and Root Tests

Alternation Series and Absolute Convergence

Power Series

Power Series Representations of Functions

Maclaurin and Taylor Series

Applications of Taylor Polynomials

The Binomial Series

Review Exercises

Topics From Analytic Geometry

Parabolas

Ellipses

Hyperbolas

Rotation of Axes

Review Exercises

Plane Curves and Polar Coordinates

Plane Curves

Tangent Lines and Arc Length

Polar Coordinates

Integrals in Polar Coordinates

Polar Equations of Conics

Review Exercises

Vectors and Surfaces

Vectors in Two Dimensions

Vectors in Three Dimensions

The Dot Product

The Vector Product

Lines and Planes

Surfaces

Review Exercises

Vector-Valued Functions

Vector-Valued Functions and Space Curves

Limits, Derivatives, and Integrals

Motion

Curvature

Tangential and Normal Components of Acceleration

Kepler's Laws

Review Exercises

Partial Differentiation

Functions of Several Variables

Limits and Continuity

Partial Derivatives

Increments and Differentials

Chain Rules

Directional Derivatives

Tangent Planes and Normal Lines

Extrema of Functions of Several Variables

Lagrange Multipliers

Review Exercises

Multiple Integrals

Double Integrals

Area and Volume

Double Integrals in Polar Coordinates

Surface Area

Triple Integrals

Moments and Center of Mass

Cylindrical Coordinates

Spherical Coordinates

Change of Variables and Jacobians

Review Exercises

Vector Calculus

Vector Fields

Line Integrals

Independence of Path

Green's Theorem

Surface Integrals

The Divergence Theorem

Stoke's Theorem

Review Exercises

Differential Equations

Seperable Differential Equations

First-Order Linear Differential Equations

Second-Order Linear Differential Equations

Nonhomogeneous Linear Differential Equations

Vibrations

Series Solutions

Review Exercises

Mathematical Induction

Theorems on Limits and Integrals

Tables

Table Of Integrals

Answers To Odd-Numbered Exercises

Index

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