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Summary

Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material.

Table of Contents

A Library of Functions
Key Concept: The Derivative
Short-Cuts to Differentiation
Using the Derivative
Key Concept: The Definite Integral
Constructing Antiderivatives
Integration
Using the Definite Integral
Series
Approximating Functions
Differential Equations
Functions of Several Variables
A Fundamental Tool: Vectors
Differentiating Functions of Many Variables
Optimization: Local and Global Extrema
Integrating Functions of Many Variables
Parameterized Curves and Vector Fields
Line Integrals
Flux Integrals
Calculus of Vector Fields
Roots, Accuracy, and Bounds
Complex Numbers
Newton's Method
Determinants
Ready Reference
Answers to Odd Numbered Problems
Index
Table of Contents provided by Publisher. All Rights Reserved.

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