Calculus for Business, Economics, and the Social and Life Sciences, Brief / Edition 10

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Overview

Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. Students achieve success using this text as a result of the authors' applied and real-world orientation to concepts, problem-solving approach, straightforward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!

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Product Details

  • ISBN-13: 9780077292737
  • Publisher: McGraw-Hill Companies,Inc.
  • Publication date: 1/1/2009
  • Edition description: Older Edition
  • Edition number: 10
  • Product dimensions: 8.30 (w) x 10.00 (h) x 1.20 (d)

Meet the Author

Laurence D. Hoffmann

November 2011

I consider myself to be a writer and expositor as well as a mathematician, and these traits led to the original version of this text published in 1975. Before assuming my current position as a Senior Investment Management Consultant with Morgan Stanley Smith Barney, I was a tenured professor of mathematics at Claremont McKenna College, where, on three occasions, I was honored to be the recipient of the Huntoon Award for Excellence in Teaching, a “best-teacher” award determined by a vote of the students.

In addition to my current profession and my ongoing involvement with this text, I serve on the Strategic Planning committee of the Claremont Community foundation and on the Investment Committee of the Rancho Santa Ana Botanic Gardens in Claremont.

My wife, Janice, and I love to travel, enjoy music and the arts, have two grown sons, three grandchildren and two Maltese dogs. I am an avid (but average) tennis player, am addicted to the Sunday Puzzle on NPR, and have been trying for several years to become fluent in Italian.

Long ago, I received by BA in mathematics from Brown University and my Ph.D. in mathematics from the University of Wisconsin.

After receiving my undergraduate degree at Harvey Mudd College and my PhD from Caltech, I joined the Mathematics Department at Claremont McKenna College, where I have continued to teach, specializing in calculus, linear algebra, and differential equations. I love to write, and in addition to this text have written published texts on engineering calculus and linear algebra.

My wife, Jaqui, and I are active supporters of recording textbooks for the blind and dyslexic. We also travel whenever we get a chance and especially enjoy cruising. Our favorite destinations have been Crete, Barcelona, and Singapore.

I’m a lifelong Boston Red Sox, Los Angeles Lakers, and USC Trojan football fan, and write science fiction novels in my spare time. We have two sons, a newborn grandson, and seven cats, although it’s not clear whether we have the cats or they have us. We also raise foster kittens for a local shelter until they are ready to be adopted, and yes, three of our cats are fosters that we could not resist adopting ourselves.

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Table of Contents

Chapter 1: Functions, Graphs, and Limits

1.1 Functions

1.2 The Graph of a Function

1.3 Linear Functions

1.4 Functional Models

1.5 Limits

1.6 One-Sided Limits and Continuity


Chapter 2: Differentiation: Basic Concepts


2.1 The Derivative

2.2 Techniques of Differentiation

2.3 Product and Quotient Rules; Higher-Order Derivatives

2.4 The Chain Rule

2.5 Marginal Analysis and Approximations Using Increments

2.6 Implicit Differentiation and Related Rates


Chapter 3: Additional Applications of the Derivative


3.1 Increasing and Decreasing Functions; Relative Extrema

3.2 Concavity and Points of Inflection

3.3 Curve Sketching

3.4 Optimization; Elasticity of Demand

3.5 Additional Applied Optimization


Chapter 4: Exponential and Logarithmic Functions


4.1 Exponential Functions: Continuous Compounding

4.2 Logarithmic Functions

4.3 Differentiation of Exponential and Logarithmic Functions


4.4 Applications; Exponential Models


Chapter 5: Integration


5.1 Antidifferentiation: The Indefinite Integral

5.2 Integration by Substitution

5.3 The Definite Integral and the Fundamental Theorem of Calculus

5.4 Applying Definite Integration: Area Between Curves and Average Value

5.5 Additional Applications to Business and Economics

5.6 Additional Applications to the Life and Social Sciences


Chapter 6: Additional Topics in Integration


6.1 Integration by Parts; Integral Tables

6.2 Introduction to Differential Equations

6.3 Improper Integrals; Continuous Probability

6.4 Numerical Integration


Chapter 7: Calculus of Several Variables


7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Two Variables

7.4 The Method of Least-Squares

7.5 Constrained Optimization: The Method of Lagrange Multipliers

7.6 Double Integrals


Appendix A: Algebra Review


A.1 A Brief Review of Algebra

A.2 Factoring Polynomials and Solving Systems of Equations

A.3 Evaluating Limits with L’Hopital’s Rule

A.4 The Summation Notation
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