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Calculus

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ISBN-10: 0534435386

ISBN-13: 9780534435387

Edition: 5th 1991 (Revised)

Authors: Earl W. Swokowski

List price: $249.95
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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…    
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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

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