Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Fourteenth Edition, 14/e

Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Haeussler, Paul, and Wood establish a strong algebraic foundation that sets this text apart from other applied mathematics texts, paving the way for students to solve real-world problems that use calculus. Emphasis on developing algebraic skills is extended to the exercisesincluding both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize manageability for teachers and learning for students. The table of contents covers a wide range of topics efficiently, enabling instructors to tailor their courses to meet student needs. Cover 1 Algebra 3 Finite Mathematics 4 Calculus 5 Title Page 6 Copyright Page 7 Contents 10 Chapter 0: Review of Algebra 22 0.1. Sets of Real Numbers 23 0.2. Some Properties of Real Numbers 24 0.3. Exponents and Radicals 31 0.4. Operations with Algebraic Expressions 36 0.5. Factoring 41 0.6. Fractions 43 0.7. Equations, in Particular Linear Equations 49 0.8. Quadratic Equations 60 Chapter 0: Review 66 Chapter 1: Applications and More Algebra 68 1.1. Applications of Equations 69 1.2. Linear Inequalities 76 1.3. Applications of Inequalities 80 1.4. Absolute Value 83 1.5. Summation Notation 87 1.6. Sequences 91 Chapter 1: Review 101 Chapter 2: Functions and Graphs 104 2.1. Functions 105 2.2. Special Functions 112 2.3. Combinations of Functions 117 2.4. Inverse Functions 122 2.5. Graphs in Rectangular Coordinates 125 2.6. Symmetry 134 2.7. Translations and Reflections 139 2.8. Functions of Several Variables 141 Chapter 2: Review 149 Chapter 3: Lines, Parabolas, and Systems 152 3.1. Lines 153 3.2. Applications and Linear Functions 160 3.3. Quadratic Functions 166 3.4. Systems of Linear Equations 173 3.5. Nonlinear Systems 183 3.6. Applications of Systems of Equations 185 Chapter 3: Review 193 Chapter 4: Exponential and Logarithmic Functions 196 4.1. Exponential Functions 197 4.2. Logarithmic Functions 209 4.3. Properties of Logarithms 215 4.4. Logarithmic and Exponential Equations 221 Chapter 4: Review 225 Chapter 5: Mathematics of Finance 229 5.1. Compound Interest 230 5.2. Present Value 235 5.3. Interest Compounded Continuously 239 5.4. Annuities 243 5.5. Amortization of Loans 251 5.6. Perpetuities 255 Chapter 5: Review 258 Chapter 6: Matrix Algebra 261 6.1. Matrices 262 6.2. Matrix Addition and Scalar Multiplication 267 6.3. Matrix Multiplication 274 6.4. Solving Systems by Reducing Matrices 285 6.5. Solving Systems by Reducing Matrices (Continued) 295 6.6. Inverses 300 6.7. Leontief’s Input--Output Analysis 307 Chapter 6: Review 313 Chapter 7: Linear Programming 315 7.1. Linear Inequalities in Two Variables 316 7.2. Linear Programming 320 7.3. The Simplex Method 327 7.4. Artificial Variables 341 7.5. Minimization 351 7.6. The Dual 356 Chapter 7: Review 365 Chapter 8: Introduction to Probability and Statistics 369 8.1. Basic Counting Principle and Permutations 370 8.2. Combinations and Other Counting Principles 376 8.3. Sample Spaces and Events 388 8.4. Probability 395 8.5. Conditional Probability and Stochastic Processes 409 8.6. Independent Events 422 8.7. Bayes’ Formula 432 Chapter 8: Review 440 Chapter 9: Additional Topics in Probability 445 9.1. Discrete Random Variables and Expected Value 446 9.2. The Binomial Distribution 453 9.3. Markov Chains 458 Chapter 9: Review 468 Chapter 10: Limits and Continuity 471 10.1. Limits 472 10.2. Limits (Continued) 482 10.3. Continuity 490 10.4. Continuity Applied to Inequalities 495 Chapter 10: Review 500 Chapter 11: Differentiation 503 11.1. The Derivative 504 11.2. Rules for Differentiation 512 11.3. The Derivative as a Rate of Change 520 11.4. The Product Rule and the Quotient Rule 530 11.5. The Chain Rule 540 Chapter 11: Review 548 Chapter 12: Additional Differentiation Topics 552 12.1. Derivatives of Logarithmic Functions 553 12.2. Derivatives of Exponential Functions 558 12.3. Elasticity of Demand 564 12.4. Implicit Differentiation 569 12.5. Logarithmic Differentiation 575 12.6. Newton’s Method 579 12.7. Higher-Order Derivatives 583 Chapter 12: Review 587 Chapter 13: Curve Sketching 590 13.1. Relative Extrema 591 13.2. Absolute Extrema on a Closed Interval 602 13.3. Concavity 604 13.4. The Second-Derivative Test 612 13.5. Asymptotes 614 13.6. Applied Maxima and Minima 624 Chapter 13: Review 635 Chapter 14: Integration 640 14.1. Differentials 641 14.2. The Indefinite Integral 646 14.3. Integration with Initial Conditions 652 14.4. More Integration Formulas 656 14.5. Techniques of Integration 663 14.6. The Definite Integral 668 14.7. The Fundamental Theorem of Calculus 674 Chapter 14: Review 682 Chapter 15: Applications of Integration 686 15.1. Integration by Tables 687 15.2. Approximate Integration 693 15.3. Area Between Curves 699 15.4. Consumers’ and Producers’ Surplus 708 15.5. Average Value of a Function 711 15.6. Differential Equations 713 15.7. More Applications of Differential Equations 720 15.8. Improper Integrals 727 Chapter 15: Review 730 Chapter 16: Continuous Random Variables 734 16.1. Continuous Random Variables 735 16.2. The Normal Distribution 742 16.3. The Normal Approximation to the Binomial Distribution 747 Chapter 16: Review 751 Chapter 17: Multivariable Calculus 753 17.1. Partial Derivatives 754 17.2. Applications of Partial Derivatives 759 17.3. Higher-Order Partial Derivatives 765 17.4. Maxima and Minima for Functions of Two Variables 767 17.5. Lagrange Multipliers 775 17.6. Multiple Integrals 782 Chapter 17: Review 786 Appendix A: Compound Interest Tables 790 Appendix B: Table of Selected Integrals 798 Appendix C: Areas Under the Standard Normal Curve 801 Answers to Odd-Numbered Problems 804 Index 844 Index of Applications 855 Back Cover 858 Haeussler, Paul, And Wood Establish A Strong Algebraic Foundation That Sets This Text Apart From Other Applied Mathematics Texts, Paving The Way For Students To Solve Real-world Problems That Use Calculus. Emphasis On Developing Algebraic Skills Is Extended To The Exercises-including Both Drill Problems And Applications. Key Topics: Review Of Algebra;applications And More Algebra;functions And Graphs;lines, Parabolas, And Systems;exponential And Logarithmic Functions;mathematics Of Finance;matrix Algebra;linear Programming;introduction To Probability And Statistics;additional Topics In Probability;limits And Continuity;differentiation;additional Differentiation Topics;curve Sketching;integration;applications Of Integration;continuous Random Variables;multivariable Calculus Market: Appropriate For Mathematics For Business Courses. "Haeussler, Paul, and Wood establish a strong algebraic foundation that sets this text apart from other applied mathematics texts, paving the way for students to solve real-world problems that use calculus. Emphasis on developing algebraic skills is extended to the exercises-including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize manageability for teachers and learning for students. The table of contents covers a wide range of topics efficiently, enabling instructors to tailor their courses to meet student needs." -- Provided by publisher