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9780486660974

Essential Calculus with Applications

by
  • ISBN13:

    9780486660974

  • ISBN10:

    0486660974

  • Edition: Reprint
  • Format: Paperback
  • Copyright: 1989-08-01
  • Publisher: Dover Publications

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Supplemental Materials

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Summary

Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.

Table of Contents

To the Instructor
To the Student
Mathematical Background
Introductory Remarks
1(1)
Sets
2(2)
Numbers
4(6)
Inequalities
10(4)
The Absolute Value
14(3)
Intervals and Neighborhoods
17(3)
Rectangular Coordinates
20(4)
Straight Lines
24(4)
More about Straight Lines
28(7)
Differential Calculus
Functions
35(7)
More about Functions
42(4)
Graphs
46(6)
Derivatives and Limits
52(7)
More about Derivatives
59(7)
More about Limits
66(8)
Differentiation Technique
74(7)
Further Differentiation Technique
81(7)
Other Kinds of Limits
88(12)
Differentiation as a Tool
Velocity and Acceleration
100(4)
Related Rates and Business Applications
104(5)
Properties of Continuous Functions
109(3)
Properties of Differentiable Functions
112(5)
Applications of the Mean Value Theorem
117(4)
Local Extrema
121(6)
Concavity and Inflection Points
127(4)
Optimization Problems
131(6)
Integral Calculus
The Definite Integral
137(7)
Properties of Definite Integrals
144(9)
The Logarithm
153(6)
The Exponential
159(6)
More about the Logarithm and Exponential
165(7)
Integration Technique
172(9)
Improper Integrals
181(5)
Integration as a Tool
Elementary Differential Equations
186(6)
Problems of Growth and Decay
192(7)
Problems of Motion
199(9)
Functions of Several Variables
From Two to n Dimensions
208(7)
Limits and Differentiation
215(8)
The Chain Rule
223(5)
Extrema in n Dimensions
228(7)
Tables 235(4)
Selected Hints and Answers 239(21)
Supplementary Hints and Answers 260(26)
Index 286

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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