Introductory Mathematical Analysis for Business, Economics and Life and Social Sciences (Arab World Editions) with MathXL

Introductory Mathematical Analysis for Business, Economics and Life and Social Sciences (Arab World Editions) with MathXL

By: Richard S. Paul (author), Richard J. Wood (author), Saadia Khouyibaba (author), Ernest F. Haeussler (author)Mixed Media

1 - 2 weeks availability

Description

Available in Summer 2012, the Arab World Edition of Haeussler's Introductory Mathematical Analysis, adapted by Khouyibaba, has specially customized content to align with core mathematics modules being taught across the Arab world. The book's focused content is an excellent fit with lecturers' teaching needs in the region. This textbook is set to become an essential tool for lecturers and students studying mathematics in the Arab world.

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Contents

PART I COLLEGE ALGEBRA CHAPTER 0 Review of Algebra 1 0.1 Sets of Real Numbers 2 0.2 Some Properties of Real Numbers 3 0.3 Exponents and Radicals 9 0.4 Operations with Algebraic Expressions 16 0.5 Factoring Polynomials 21 0.6 Fractions 24 Chapter 0 Review 29 Important Terms and Symbols 29 Review Problems 29 Chapter Test 30 CHAPTER 1 Equations and Inequalities 31 1.1 Equations, in Particular Linear Equations 31 1.2 Quadratic Equations 42 1.3 Applications of Equations 49 1.4 Linear Inequalities 58 1.5 Applications of Inequalities 62 1.6 Absolute Value 66 Chapter 1 Review 70 Important Terms and Symbols 70 Summary 70 Review Problems 71 Chapter Test 71 Variable-Quality Recording 73 CHAPTER 2 Functions, Graphs, and Lines 75 2.1 Functions 76 2.2 Special Functions 85 2.3 Combinations of Functions 90 2.4 Inverse Functions 95 2.5 Graphs in Rectangular Coordinates 98 2.6 Lines 107 2.7 Applications and Linear Functions 116 2.8 Quadratic Functions and Parabolas 122 Chapter 2 Review 130 Important Terms and Symbols 130 Summary 130 Review Problems 131 Chapter Test 133 Mobile Phones 134 CHAPTER 3 Exponential and Logarithmic Functions 137 3.1 Exponential Functions 137 3.2 Logarithmic Functions 151 3.3 Properties of Logarithms 158 vii February 22, 2012 A01 HAEU6401 01 SE FM page viii viii Expanded Contents 3.4 Logarithmic and Exponential Equations 164 Chapter 3 Review 169 Important Terms and Symbols 169 Summary 170 Review Problems 170 Chapter Test 172 Drug Dosages 173 PART II MATHEMATICS OF FINANCE CHAPTER 4 Mathematics of Finance 176 4.1 Summation Notation and Sequences 176 4.2 Simple and Compound Interest 191 4.3 Present Value 197 4.4 Interest Compounded Continuously 201 4.5 Annuities 205 4.6 Amortization of Loans 214 4.7 Perpetuities 220 Chapter 4 Review 223 Important Terms and Symbols 223 Summary 223 Review Problems 225 Chapter Test 225 Treasury Securities 226 CHAPTER 5 Matrix Algebra 229 5.1 Systems of Linear Equations 230 5.2 Applications of Systems of Linear Equations 243 5.3 Matrices 249 5.4 Matrix Addition and Scalar Multiplication 255 5.5 Matrix Multiplication 262 5.6 Solving Systems by the Gauss-Jordan Method 274 5.7 Inverses 290 5.8 Leontief's Input-Output Analysis 299 Chapter 5 Review 305 Important Terms and Symbols 305 Summary 306 Review Problems 306 Chapter Test 308 Insulin Requirements as a Linear Process 309 CHAPTER 6 Linear Programming 311 6.1 Linear Inequalities in Two Variables 311 6.2 Linear Programming: Graphical Approach 317 6.3 The Simplex Method: Maximization 329 6.4 The Simplex Method: Nonstandard Maximization Problems 349 6.5 Minimization 361 6.6 The Dual 366 Chapter 6 Review 376 Important Terms and Symbols 376 Summary 376 Review Problems 377 Chapter Test 379 Drug and Radiation Therapies 381 February 22, 2012 A01 HAEU6401 01 SE FM page ix Expanded Contents ix PART III CALCULUS CHAPTER 7 Limits and Continuity 383 7.1 Limits 384 7.2 One-Sided Limits and Limits at Infinity 394 7.3 Continuity 401 7.4 Continuity Applied to Inequalities 407 Chapter 7 Review 412 Important Terms and Symbols 412 Summary 413 Review Problems 413 Chapter Test 415 Public Debt 415 CHAPTER 8 Differentiation 417 8.1 The Derivative 418 8.2 Rules for Differentiation 426 8.3 The Derivative as a Rate of Change 434 8.4 The Product Rule and the Quotient Rule 446 8.5 The Chain Rule 455 Chapter 8 Review 463 Important Terms and Symbols 463 Summary 463 Review Problems 464 Chapter Test 466 Marginal Propensity to Consume 467 CHAPTER 9 Additional Differentiation Topics 469 9.1 Derivatives of Logarithmic Functions 469 9.2 Derivatives of Exponential Functions 476 9.3 Elasticity of Demand 481 9.4 Implicit Differentiation 487 9.5 Logarithmic Differentiation 494 9.6 Higher-Order Derivatives 497 Chapter 9 Review 501 Important Terms and Symbols 501 Summary 502 Review Problems 502 Chapter Test 504 Economic Order Quantity 504 CHAPTER 10 Curve Sketching 506 10.1 Relative Extrema 507 10.2 Absolute Extrema on a Closed Interval 519 10.3 Concavity 522 10.4 The Second-Derivative Test 529 10.5 Asymptotes 531 10.6 Applied Maxima and Minima 541 Chapter 10 Review 552 Important Terms and Symbols 552 Summary 552 Review Problems 553 Chapter Test 556 Population Change over Time 557 February 22, 2012 A01 HAEU6401 01 SE FM page x x Expanded Contents CHAPTER 11 Integration 560 11.1 Differentials 561 11.2 The Indefinite Integral 565 11.3 Integration with Initial Conditions 571 11.4 More Integration Formulas 576 11.5 Techniques of Integration 583 11.6 The Definite Integral 588 11.7 The Fundamental Theorem of Integral Calculus 594 11.8 Area between Curves 603 11.9 Consumers' and Producers' Surplus 612 Chapter 11 Review 615 Important Terms and Symbols 615 Summary 616 Review Problems 617 Chapter Test 619 Delivered Price 620 CHAPTER 12 Methods and Applications of Integration 623 12.1 Integration by Parts 623 12.2 Integration by Tables 628 12.3 Average Value of a Function 635 12.4 Differential Equations 637 12.5 More Applications of Differential Equations 644 12.6 Improper Integrals 650 Chapter 12 Review 654 Important Terms and Symbols 654 Summary 654 Review Problems 655 Chapter Test 657 Dieting 658 CHAPTER 13 Multivariable Calculus 660 13.1 Functions of Several Variables 660 13.2 Partial Derivatives 669 13.3 Applications of Partial Derivatives 674 13.4 Higher-Order Partial Derivatives 679 13.5 Maxima and Minima for Functions of Two Variables 681 13.6 Lagrange Multipliers 691 13.7 Lines of Regression 699 Chapter 13 Review 705 Important Terms and Symbols 705 Summary 705 Review Problems 706 Chapter Test 707 Data Analysis to Model Cooling 709 BONUSCHAPTERSAVAILABLE ONLINE CHAPTER I Introduction to Probability and Statistics 1 I.1 Basic Counting Principle and Permutations 2 I.2 Combinations and Other Counting Principles 9 I.3 Sample Spaces and Events 19 I.4 Probability 27 I.5 Conditional Probability and Stochastic Processes 41 I.6 Independent Events 54 February 22, 2012 A01 HAEU6401 01 SE FM page xi Expanded Contents xi I.7 Bayes' Formula 64 Chapter I Review 72 Important Terms and Symbols 72 Summary 73 Review Problems 74 Chapter Test 76 Probability and Cellular Automata 79 CHAPTER II Additional Topics in Probability 81 II.1 Discrete Random Variables and Expected Value 81 II.2 The Binomial Distribution 91 II.3 Markov Chains 96 Chapter II Review 106 Important Terms and Symbols 106 Summary 106 Review Problems 107 Chapter Test 109 Markov Chains in Game Theory 110 CHAPTER III Continuous Random Variables 112 III.1 Continuous Random Variables 112 III.2 The Normal Distribution 120 III.3 The Normal Approximation to the Binomial Distribution 125 Chapter III Review 128 Important Terms and Symbols 128 Summary 128 Review Problems 129 Chapter Test 129 Cumulative Distribution from Data 130 APPENDIX A Compound Interest Tables 711 APPENDIX B Table of Selected Integrals 719 APPENDIX C Areas Under the Standard Normal Curve 722 APPENDIX D Algebra, Finite Mathematics, and Calculus 725 English-Arabic Glossary of Mathematical Terms G-1 Answers to Odd-Numbered Problems AN-1 Index I-1 Photo Credits P-1

Product Details

  • publication date: 16/08/2012
  • ISBN13: 9781408286463
  • Format: Mixed Media
  • ID: 9781408286463
  • weight: 1566
  • ISBN10: 1408286467

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

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