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Calculus Late Transcendentals

ISBN-10: 0471381551
ISBN-13: 9780471381556
Edition: 7th 2002 (Brief Edition)
List price: $122.95
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Description: This new edition includes new and revised exercises and more exploratory and open ended questions. There is a greater emphasis on mathematical modeling and new sections on second order differential equations and on rotation of coordinate axes.

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Book details

List price: $122.95
Edition: 7th
Copyright year: 2002
Publisher: John Wiley & Sons, Incorporated
Publication date: 6/29/2001
Binding: Hardcover
Pages: 928
Size: 8.75" wide x 10.25" long x 1.50" tall
Weight: 4.444
Language: English

This new edition includes new and revised exercises and more exploratory and open ended questions. There is a greater emphasis on mathematical modeling and new sections on second order differential equations and on rotation of coordinate axes.

Stephen Davis is the author of numerous books, including "The New York Times" bestsellers "Hammer of the Gods: The Led Zeppelin Saga" & "Walk This Way: The Autobiography of Aerosmith", & coauthor of "Fleetwood", the memoirs of Fleetwood Mac drummer Mick Fleetwood. His journalism has appeared in "Rolling Stone", "The New York Times", "The Boston Globe", & many other publications. He lives in New England.

Introduction: Calculus: A New Horizon from Ancient Roots
Functions
Functions and the Analysis of Graphical Information
Properties of Functions
Graphing Functions on Calculators and Computers; Computer Algebra Systems
New Functions from Old
Lines
Families of Functions
Mathematical Models
Parametric Equations
Horizon Module: Iteration and Dynamical Systems
Limits and Continuity
Limits (An Intuitive Approach)
Computing Limits
Computing Limits: End Behavior
Limits (Discussed More Rigorously)
Continuity
Limits and Continuity of Trigonometric Functions
The Derivative
Slopes and Rates of Change
The Derivative
Techniques of Differentiation
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Related Rates
Local Linear Approximation; Differentials
Horizon Module: Robotics
The Derivative in Graphing and Applications
Analysis of Functions I: Increase, Decrease, and Concavity
Analysis of Functions II: Relative Extrema; First and Second Derivative Tests
Analysis of Functions III: Applying Technology and the Tools of Calculus
Rectilinear Motion (Motion Along a Line)
Absolute Maxima and Minima
Applied Maximum and Minimum Problems
Newton's Method
Rolle's Theorem; Mean-Value Theorem
Integration
An Overview of the Area Problem
The Indefinite Integral; Integral Curves and Direction Fields
Integration by Substitution
Sigma Notation; Area as a Limit
The Definite Integral
The Fundamental Theorem of Calculus
Rectilinear Motion Revisited; Average Value
Evaluating Definite Integrals by Substitution
Horizon Module: Blammo the Human Cannonball
Applications of the Definite Integral in Geometry, Science, and Engineering
Area Between Two Curves
Volumes by Slicing; Disks and Washers
Volumes by Cylindrical Shells
Length of a Plane Curve
Area of a Surface of Revolution
Work
Fluid Pressure and Force
Exponential, Logarithmic, and Inverse Trigonometric Functions
Inverse Functions
Exponential and Logarithmic Functions
Derivatives and Integrals Involving Logarithmic and Exponential Functions
Graphs and Applications Involving Logarithmic and Exponential Functions
Logarithmic Functions from the Integral Point of View
Derivatives and Integrals Involving Inverse Trigonometric Functions
L'Hopital's Rule; Indeterminate Forms
Hyperbolic Functions and Hanging Cables
Principles of Integral Evaluation
An Overview of Integration Methods
Integration by Parts
Trigonometric Integrals
Trigonometric Substitutions
Integrating Rational Functions by Partial Fractions
Using Tables of Integrals and Computer Algebra Systems
Numerical Integration; Simpson's Rule
Improper Integrals
Horizon Module: Railroad Design
Mathematical Modeling with Differential Equations
First-Order Differential Equations and Applications
Direction Fields; Euler's Method
Modeling with First-Order Differential Equations
Second-Order Linear Homogeneous Differential Equations; The Vibrating Spring
Infinite Series
Maclaurin and Taylor Polynomial Approximations
Sequences
Monotone Sequences
Infinite Series
Convergence Tests
The Comparison, Ratio, and Root Tests
Alternating Series; Conditional Convergence
Maclaurin and Taylor Series; Power Series
Convergence of Taylor Series; Computational Methods
Differentiating and Integrating Power Series; Modeling with Taylor Series
Analytic Geometry in Calculus
Polar Coordinates
Tangent Lines and Arc Length for Parametric and Polar Curves
Area in Polar Coordinates
Conic Sections in Calculus
Rotation of Axes; Second-Degree Equations
Conic Sections in Polar Coordinates
Horizon Module: Comet Collision
Real Numbers, Intervals, and Inequalities
Absolute Value
Coordinate Planes and Lines
Distance, Circles, and Quadratic Equations
Trigonometry Review
Solving Polynomial Equations
Selected Proofs
Answers
Photo Credits
Index

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