Calculus and Its Applications

ISBN-10: 0321571304

ISBN-13: 9780321571304

Edition: 12th 2010

Authors: Larry J. Goldstein, David I. Schneider, David C. Lay, Nakhle H. Asmar

List price: $176.00
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Description:

Normal 0 false false false KEY BENFIT:Goldsteinrsquo;sCalculus and Its Applications, Twelfth Editionis a comprehensive print and online program for readers interested in business, economics, life science, or social sciences. Without sacrificing mathematical integrity, the book clearly presents the concepts with a large quantity of exceptional, in-depth exercises. The authors'proven formulapairing substantial amounts of graphical analysis and informal geometric proofs with an abundance of exerciseshas proven to be tremendously successful with both students and instructors. The textbook is supported by a wide array of supplements as well as MyMathLab reg; and MathXL reg; , the most widely adopted and acclaimed online homework and assessment system on the market. Functions; The Derivative; Applications of the Derivative; Techniques of Differentiation; Logarithm Functions; Applications of the Exponential and Natural Logarithm Functions; The Definite Integral; Functions of Several Variables; The Trigonometric Functions; Techniques of Integration; Differential Equations; Taylor Polynomials and Infinite Series; Probability and Calculus For all readers interested in applied calculus.
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Book details

List price: $176.00
Edition: 12th
Copyright year: 2010
Publisher: Prentice Hall PTR
Publication date: 3/2/2009
Binding: Hardcover
Pages: 656
Size: 8.50" wide x 10.50" long x 1.00" tall
Weight: 2.794

Goldstein-Villanova University

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Functions
Functions and Their Graphs
Some Important Functions
The Algebra of Functions
Zeros of Functions-The Quadratic Formula and Factoring
Exponents and Power Functions
Functions and Graphs in Applications
The Derivative
The Slope of a Straight Line
The Slope of a Curve at a Point
The Derivative
Limits and the Derivative
Differentiability and Continuity
Some Rules for Differentiation
More About Derivatives
The Derivative as a Rate of Change
Applications of the Derivative
Describing Graphs of Functions
The First and Second Derivative Rules
The First and Second Derivative Tests and Curve Sketching
Curve Sketching (Conclusion)
Optimization Problems
Further Optimization Problems
Applications of Derivatives to Business and Economics
Techniques of Differentiation
The Product and Quotient Rules
The Chain Rule and the General Power Rule
Implicit Differentiation and Related Rates
Logarithm Functions
Exponential Functions
The Exponential Functione x
Differentiation of Exponential Functions
The Natural Logarithm Function
The Derivative of lnx
Properties of the Natural Logarithm Function
Applications of the Exponential and Natural Logarithm Functions
Exponential Growth and Decay
Compound Interest
Applications of the Natural Logarithm Function to Economics
Further Exponential Models
The Definite Integral
Antidifferentiation
Areas and Riemann Sums
Definite Integrals and the Fundamental Theorem
Areas in thexy-Plane
Applications of the Definite Integral
Functions of Several Variables
Examples of Functions of Several Variables
Partial Derivatives
Maxima and Minima of Functions of Several Variables
Lagrange Multipliers and Constrained Optimization
The Method of Least Squares
Double Integrals
The Trigonometric Functions
Radian Measure of Angles
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