Calculus Single Variable

ISBN-10: 0470647701

ISBN-13: 9780470647707

Edition: 10th 2012

List price: $143.00
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Description: The 10th edition of Calculus Single Variable continues to bring together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful for those going into mathematics and those going into the sciences and engineering.    This new text exhibits the same strengths from earlier editions including an emphasis on modeling and a flexible approach to technology.

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Book details

List price: $143.00
Edition: 10th
Copyright year: 2012
Publisher: John Wiley & Sons, Limited
Publication date: 2/14/2012
Binding: Hardcover
Pages: 880
Size: 8.75" wide x 10.25" long x 1.50" tall
Weight: 4.092

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.

Before Calculus
Functions
New Functions from Old
Families of Functions
Inverse Functions
Limits And Continuity
Limits (An Intuitive Approach)
Computing Limits
Limits at Infinity; End Behavior of a Function
Limits (Discussed More Rigorously)
Continuity
Continuity of Trigonometric Functions
The Derivative
Tangent Lines and Rates of Change
The Derivative Function
Introduction to Techniques of Differentiation
The Product and Quotient Rules
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Related Rates
Local Linear Approximation; Differentials
The Derivative In Graphing And Applications
Analysis of Functions I: Increase, Decrease, and Concavity
Analysis of Functions II: Relative Extrema; Graphing Polynomials
Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents
Absolute Maxima and Minima
Applied Maximum and Minimum Problems
Rectilinear Motion
Newton's Method
Rolle's Theorem; Mean-Value Theorem
Integration
An Overview of the Area Problem
The Indefinite Integral
Integration by Substitution
The Definition of Area as a Limit; Sigma Notation
The Definite Integral
The Fundamental Theorem of Calculus
Rectilinear Motion Revisited Using Integration
Average Value of a Function and its Applications
Evaluating Definite Integrals by Substitution
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
Moments, Centers of Gravity, and Centroids
Fluid Pressure and Force
Exponential, Logarithmic, And Inverse Trigonometric Functions
Exponential and Logarithmic Functions
Derivatives and Integrals Involving Logarithmic Functions
Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions
Graphs and Applications Involving Logarithmic and Exponential Functions
L'H�pital's Rule; Indeterminate Forms
Logarithmic and Other Functions Defined by Integrals
Derivatives and Integrals Involving Inverse Trigonometric Functions
Hyperbolic Functions and Hanging Cables
Principles Of Integral Evaluation
An Overview of Integration Methods
Integration by Parts
Integrating Trigonometric Functions
Trigonometric Substitutions
Integrating Rational Functions by Partial Fractions
Using Computer Algebra Systems and Tables of Integrals
Numerical Integration; Simpson's Rule
Improper Integrals
Mathematical Modeling With Differential Equations
Modeling with Differential Equations
Separation of Variables
Slope Fields; Euler's Method
First-Order Differential Equations and Applications
Infinite Series
Sequences
Monotone Sequences
Infinite Series
Convergence Tests
The Comparison, Ratio, and Root Tests
Alternating Series; Absolute and Conditional Convergence
Maclaurin and Taylor Polynomials
Maclaurin and Taylor Series; Power Series
Convergence of Taylor Series
Differentiating and Integrating Power Series; Modeling with Taylor Series
Parametric And Polar Curves; Conic Sections
Parametric Equations; Tangent Lines and Arc Length for Parametric Curves
Polar Coordinates
Tangent Lines, Arc Length, and Area for Polar Curves
Conic Sections
Rotation of Axes; Second-Degree Equations
Conic Sections in Polar Coordinates 754 A APPENDICES A GRAPHING FUNCTIONS USING CALCULATORS AND COMPUTER ALGEBRA SYSTEMS A1 B TRIGONOMETRY REVIEW A13 C SOLVING POLYNOMIAL EQUATIONS A27 D SELECTED PROOFS A34 ANSWERS TO ODD-NUMBERED EXERCISES A45
Index
Web Appendices (online only)
Available for download atwww.wiley.com/college/anton or atwww.howardanton.com and in WileyPLUS
Real Numbers, Intervals, And Inequalities
Absolute Value
Coordinate Planes, Lines, And Linear Functions
Distance, Circles, And Quadratic Equations
Early Parametric Equations Option
Mathematical Models
The Discriminant
Second-Order Linear Homogeneous Differential Equations
Web Projects: Expanding the Calculus Horizon (online only)
Available for download atwww.wiley.com/college/anton or atwww.howardanton.com and in WileyPLUS
Blammo The Human Cannonball
Comet Collision
Hurricane Modeling
Iteration And Dynamical Systems
Railroad Design
Robotics
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