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Applied Calculus

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ISBN-10: 0547169779

ISBN-13: 9780547169774

Edition: 5th 2010 (Brief Edition)

Authors: James Stewart, Andrew M. Rockett, Geoffrey C. Berresford

List price: $338.95
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Description:

This text for the one semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Many applications are financial or business related, but many applications in this text cover general-interest topics as well, including the growing population of Africa, the composition of the Supreme Court, water shortage, the fastest pitch in baseball, and pollution and the depletion of natural resources. The Fifth Edition maintains the hallmark features that have made Brief Applied Calculus so popular: contemporary and interesting applications; careful and effective use of technology, including integrated…    
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Book details

List price: $338.95
Edition: 5th
Copyright year: 2010
Publisher: Brooks/Cole
Publication date: 11/20/2008
Binding: Hardcover
Pages: 672
Size: 8.25" wide x 10.25" long x 1.00" tall
Weight: 2.992
Language: English

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on CONTINUED FRACTIONS (1992) was hailed by Ivan Niven as "an outstanding addition to the literature of mathematics," and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal The Pentagon from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals, including Mathematical Reviews for the American Mathematical Society.

Dr. Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University and taught at the State University of New York at Purchase before joining the faculty at the C.W. Post campus of Long Island University. Besides co-authoring four textbooks with Dr. Rockett, he has published papers in differential equations, linear programming, logic, and probability, and has received several teaching awards and the Distinguished Service Award from The Metropolitan New York Section of the Mathematical Association of America.

Preface
A User's Guide to Features
Integrating Excel
Graphing Calculator Terminology
Functions
Real Numbers, Inequalities, and Lines
Exponents
Functions
Functions, Continued
Derivatives and Their Uses
Limits and Continuity
Rates of Change, Slopes, and Derivatives
Some Differentiation Formulas
The Product and Quotient Rules
Higher-Order Derivatives
The Chain Rule and the Generalized Power Rule
Nondifferentiable Functions
Further Applications of Derivatives
Graphing Using the First Derivative
Graphing Using the and Second Derivatives
Optimization
Further Applications of Optimization
Optimizing Lot Size and Harvest Size
Implicit Differentiation and Related Rules
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Differentiation of Logarithmic and Exponential Functions
Two Applications to Economics: Relative Rates and Elasticity of Demand
Integration and Its Applications
Antiderivatives and Indefinite Integrals
Integration Using Logarithmic and Exponential Functions
Definite Integrals and Areas
Further Applications of Definite Integrals: Average Value and Area Between Curves
Two Applications to Economics: Consumers' Surplus and Income Distribution
Integration by Substitution
Integration Techniques and Differential Equations
Integration by Parts
Integration Using Tables
Improper Integrals
Numerical Integration
Differential Equations
Further Applications of Differential Equations: Three Models of Growth
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Optimizing Functions of Several Variables
Least Squares
Lagrange Multipliers and Constrained Optimization
Total Differentials and Approximate Changes
Multiple Integrals
Cumulative Review for Chapters 1-7
Answers to Selected Exercises
Index