Essential Calculus with Applications

ISBN-10: 0486660974

ISBN-13: 9780486660974

Edition: 1989

Authors: Richard A. Silverman

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Book details

List price: $15.95
Copyright year: 1989
Publisher: Dover Publications, Incorporated
Publication date: 8/1/1989
Binding: Paperback
Pages: 320
Size: 6.00" wide x 9.25" long x 0.75" tall
Weight: 0.880
Language: English

To the Instructor
To the Student
Mathematical Background
Introductory Remarks
The Absolute Value
Intervals and Neighborhoods
Rectangular Coordinates
Straight Lines
More about Straight Lines
Differential Calculus
More about Functions
Derivatives and Limits
More about Derivatives
More about Limits
Differentiation Technique
Further Differentiation Technique
Other Kinds of Limits
Differentiation as a Tool
Velocity and Acceleration
Related Rates and Business Applications
Properties of Continuous Functions
Properties of Differentiable Functions
Applications of the Mean Value Theorem
Local Extrema
Concavity and Inflection Points
Optimization Problems
Integral Calculus
The Definite Integral
Properties of Definite Integrals
The Logarithm
The Exponential
More about the Logarithm and Exponential
Integration Technique
Improper Integrals
Integration as a Tool
Elementary Differential Equations
Problems of Growth and Decay
Problems of Motion
Functions of Several Variables
From Two to n Dimensions
Limits and Differentiation
The Chain Rule
Extrema in n Dimensions
Selected Hints and Answers
Supplementary Hints and Answers
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