Calculus - Early Transcendentals

ISBN-10: 0131569899

ISBN-13: 9780131569898

Edition: 7th 2008

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Description: The Seventh Edition of this highly dependable book retains its best featuresit keeps the accuracy, mathematical precision, and rigor appropriate that it is known for.This book contains an entire six chapters on early transcendental calculus and a chapter on differential equations and their applications.For professionals who want to brush up on their calculus skills.

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Book details

List price: $277.20
Edition: 7th
Copyright year: 2008
Publisher: Prentice Hall PTR
Publication date: 2/27/2007
Binding: Hardcover
Pages: 1344
Size: 8.50" wide x 11.00" long x 1.75" tall
Weight: 6.644
Language: English

About the Authors
Preface
Functions, Graphs, and Models
Functions and Mathematical ModelingInvestigation: Designing a Wading Pool
Graphs of Equations and Functions
Polynomials and Algebraic Functions
Transcendental Functions
Preview: What Is Calculus?
Review - Understanding: Concepts and Definitions
Objectives: Methods and Techniques
Prelude to Calculus
Tangent Lines and Slope Predictors
Investigation: Numerical Slope Investigations
The Limit ConceptInvestigation: Limits, Slopes, and Logarithms
More About LimitsInvestigation: Numerical Epsilon-Delta Limits
The Concept of Continuity
Review - Understanding: Concepts and Definitions
Objectives: Methods and Techniques
The Derivative
The Derivative and Rates of Change
Basic Differentiation Rules
The Chain Rule
Derivatives of Algebraic Functions
Maxima and Minima of Functions on Closed Intervals
Investigation: When Is Your Coffee Cup Stablest?
Applied Optimization Problems
Derivatives of Trigonometric Functions
Exponential and Logarithmic Functions
Investigation: Discovering the Number e for Yourself
Implicit Differentiation and Related Rates
Investigation: Constructing the Folium of Descartes
Successive Approximations and Newton's Method
Investigation: How Deep Does a Floating Ball Sink?
Review - Understanding: Concepts, Definitions, and Formulas
Objectives: Methods and Techniques
Additional Applications of the Derivative
Introduction
Increments, Differentials, and Linear Approximation
Increasing and Decreasing Functions and the Mean Value Theorem
The First Derivative Test and Applications
Investigation: Constructing a Candy Box With Lid
Simple Curve Sketching
Higher Derivatives and Concavity
Curve Sketching and Asymptotes
Investigation: Locating Special Points on Exotic Graphs
Indeterminate Forms and L'Hapital's Rule
More Indeterminate Forms
Review - Understanding: Concepts, Definitions, and Results
Objectives: Methods and Techniques
The Integral
Introduction
Antiderivatives and Initial Value Problems
Elementary Area Computations
Riemann Sums and the Integral
Investigation: Calculator/Computer Riemann Sums
Evaluation of Integrals
The Fundamental Theorem of Calculus
Integration by Substitution
Areas of Plane Regions
Numerical IntegrationInvestigation: Trapezoidal and Simpson Approximations
Review - Understanding: Concepts, Definitions, and Results
Objectives: Methods and Techniques
Applications of the Integral
Riemann Sum Approximations
Volumes by the Method of Cross Sections
Volumes by the Method of Cylindrical Shells
Investigation: Design Your Own Ring!
Arc Length and Surface Area of Revolution
Force and Work
Centroids of Plane Regions and Curves
The Natural Logarithm as an Integral
Investigation: Natural Functional Equations
Inverse Trigonometric Functions
Hyperbolic Functions
Review - Understanding: Concepts, Definitions, and Formulas
Objectives: Methods and Techniques
Techniques of Integration
Introduction<
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