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Applied Calculus

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ISBN-10: 0547169787

ISBN-13: 9780547169781

Edition: 5th 2010

Authors: Geoffrey C. Berresford, Andrew M. Rockett, Andrew Mansfield Rockett

List price: $357.95
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Book details

List price: $357.95
Edition: 5th
Copyright year: 2010
Publisher: Brooks/Cole
Publication date: 11/20/2008
Binding: Hardcover
Pages: 896
Size: 8.25" wide x 10.00" long x 1.50" tall
Weight: 3.388

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.

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.

Preface
A Users 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
Integration by Parts
Integration Using Tables
Improper Integrals
Numerical Integration
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
Trigonometric Functions
Triangles, Angles, and Radian Measure
Sine and Cosine Functions
Derivatives of Sine and Cosine Functions
Integrals of Sine and Cosine Functions
Other Trigonometric Functions
Differential Equations
Separation of Variables
Further Applications of Differential Equations: Three Models of Growth
First-Order Linear Differential Equations
Approximate Solutions of Differential Equations: Eulers Method
Sequences And Series
Geometric Series
Taylor Polynomials
Taylor Series
Newtons Method
Probability
Discrete Probability
Continuous Probability
Uniform and Exponential Random Variables
Norml Random Variables
Appendix: Normal Probabilities from Tables
Answers to Selected Exercises
Index