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Applied Calculus for Business, Economics, and the Social and Life Sciences.

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Home » Books » Science » Mathematics » Calculus

Applied Calculus for Business, Economics, and the Social and Life Sciences.

By Laurence D. Hoffmann, Gerald L. Bradley

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Format: Paperback, Expanded ed of 10th Edition
Published In: United States, 01 April 2009
"Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded 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. This expanded edition includes four additional chapters on Differential Equations, Infinite Series and Taylor Approximations, Probability, and Trigonometric Functions. The new ninth edition builds on the straightforward writing style, practical applications from a variety of disciplines, clear step-by-step problem solving techniques, and comprehensive exercise sets that have been hallmarks of Hoffmann/Bradley's success through the years.

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 1.1 The Derivative 1.2 Techniques of Differentiation 1.3 Product and Quotient Rules; Higher-Order Derivatives 1.4 The Chain Rule 1.5 Marginal Analysis and Approximations Using Increments 1.6 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 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 Improper Integrals 6.3 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 Chapter 8: Differential Equations 8.1 Introduction to Differential Equations 8.2 First-Order Linear Differential Equations 8.3 Additional Applications of Differential Equations 8.4 Approximate Solutions of Differential Equations 8.5 Difference Equations; The Cobweb Model Chapter 9: Infinite Series and Taylor Series Approximations 9.1 Infinite Series; Geometric Series 9.2 Tests for Convergence 9.3 Functions as Power Series; Taylor Series Chapter 10: Probability and Calculus 10.1 Introduction to Probability; Discrete Random Variables 10.2 Continuous Random Variables 10.3 Expected Value and Variance of Continuous Random Variables 10.4 Normal and Poisson Probability Distributions Chapter 11: Trigonometric Functions 11.1 The Trigonometric Functions 11.2 Differentiation and Integration of Trigonometric Functions 11.3 Additional Applications Involving Trigonometric Function 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

EAN: 9780070182820
ISBN: 0070182825
Publisher: McGraw Hill Higher Education
Dimensions: 25.1 x 20.3 x 3.5 centimetres (1.80 kg)
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