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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), Ernest F. Haeussler (author), Saadia Khouyibaba (author)Mixed Media

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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.

Contents

PART I COLLEGE ALGEBRACHAPTER 0 Review of Algebra 10.1 Sets of Real Numbers 20.2 Some Properties of Real Numbers 30.3 Exponents and Radicals 90.4 Operations with Algebraic Expressions 160.5 Factoring Polynomials 210.6 Fractions 24Chapter 0 Review 29Important Terms and Symbols 29Review Problems 29Chapter Test 30CHAPTER 1 Equations and Inequalities 311.1 Equations, in Particular Linear Equations 311.2 Quadratic Equations 421.3 Applications of Equations 491.4 Linear Inequalities 581.5 Applications of Inequalities 621.6 Absolute Value 66Chapter 1 Review 70Important Terms and Symbols 70Summary 70Review Problems 71Chapter Test 71Variable-Quality Recording 73CHAPTER 2 Functions, Graphs, and Lines 752.1 Functions 762.2 Special Functions 852.3 Combinations of Functions 902.4 Inverse Functions 952.5 Graphs in Rectangular Coordinates 982.6 Lines 1072.7 Applications and Linear Functions 1162.8 Quadratic Functions and Parabolas 122Chapter 2 Review 130Important Terms and Symbols 130Summary 130Review Problems 131Chapter Test 133Mobile Phones 134CHAPTER 3 Exponential and Logarithmic Functions 1373.1 Exponential Functions 1373.2 Logarithmic Functions 1513.3 Properties of Logarithms 158viiFebruary 22, 2012 A01 HAEU6401 01 SE FM page viiiviii Expanded Contents3.4 Logarithmic and Exponential Equations 164Chapter 3 Review 169Important Terms and Symbols 169Summary 170Review Problems 170Chapter Test 172Drug Dosages 173PART II MATHEMATICS OF FINANCECHAPTER 4 Mathematics of Finance 1764.1 Summation Notation and Sequences 1764.2 Simple and Compound Interest 1914.3 Present Value 1974.4 Interest Compounded Continuously 2014.5 Annuities 2054.6 Amortization of Loans 2144.7 Perpetuities 220Chapter 4 Review 223Important Terms and Symbols 223Summary 223Review Problems 225Chapter Test 225Treasury Securities 226CHAPTER 5 Matrix Algebra 2295.1 Systems of Linear Equations 2305.2 Applications of Systems of Linear Equations 2435.3 Matrices 2495.4 Matrix Addition and Scalar Multiplication 2555.5 Matrix Multiplication 2625.6 Solving Systems by the Gauss-Jordan Method 2745.7 Inverses 2905.8 Leontief's Input-Output Analysis 299Chapter 5 Review 305Important Terms and Symbols 305Summary 306Review Problems 306Chapter Test 308Insulin Requirements as a Linear Process 309CHAPTER 6 Linear Programming 3116.1 Linear Inequalities in Two Variables 3116.2 Linear Programming: Graphical Approach 3176.3 The Simplex Method: Maximization 3296.4 The Simplex Method: Nonstandard Maximization Problems 3496.5 Minimization 3616.6 The Dual 366Chapter 6 Review 376Important Terms and Symbols 376Summary 376Review Problems 377Chapter Test 379Drug and Radiation Therapies 381February 22, 2012 A01 HAEU6401 01 SE FM page ixExpanded Contents ixPART III CALCULUSCHAPTER 7 Limits and Continuity 3837.1 Limits 3847.2 One-Sided Limits and Limits at Infinity 3947.3 Continuity 4017.4 Continuity Applied to Inequalities 407Chapter 7 Review 412Important Terms and Symbols 412Summary 413Review Problems 413Chapter Test 415Public Debt 415CHAPTER 8 Differentiation 4178.1 The Derivative 4188.2 Rules for Differentiation 4268.3 The Derivative as a Rate of Change 4348.4 The Product Rule and the Quotient Rule 4468.5 The Chain Rule 455Chapter 8 Review 463Important Terms and Symbols 463Summary 463Review Problems 464Chapter Test 466Marginal Propensity to Consume 467CHAPTER 9 Additional Differentiation Topics 4699.1 Derivatives of Logarithmic Functions 4699.2 Derivatives of Exponential Functions 4769.3 Elasticity of Demand 4819.4 Implicit Differentiation 4879.5 Logarithmic Differentiation 4949.6 Higher-Order Derivatives 497Chapter 9 Review 501Important Terms and Symbols 501Summary 502Review Problems 502Chapter Test 504Economic Order Quantity 504CHAPTER 10 Curve Sketching 50610.1 Relative Extrema 50710.2 Absolute Extrema on a Closed Interval 51910.3 Concavity 52210.4 The Second-Derivative Test 52910.5 Asymptotes 53110.6 Applied Maxima and Minima 541Chapter 10 Review 552Important Terms and Symbols 552Summary 552Review Problems 553Chapter Test 556Population Change over Time 557February 22, 2012 A01 HAEU6401 01 SE FM page xx Expanded ContentsCHAPTER 11 Integration 56011.1 Differentials 56111.2 The Indefinite Integral 56511.3 Integration with Initial Conditions 57111.4 More Integration Formulas 57611.5 Techniques of Integration 58311.6 The Definite Integral 58811.7 The Fundamental Theorem of Integral Calculus 59411.8 Area between Curves 60311.9 Consumers' and Producers' Surplus 612Chapter 11 Review 615Important Terms and Symbols 615Summary 616Review Problems 617Chapter Test 619Delivered Price 620CHAPTER 12 Methods and Applications of Integration 62312.1 Integration by Parts 62312.2 Integration by Tables 62812.3 Average Value of a Function 63512.4 Differential Equations 63712.5 More Applications of Differential Equations 64412.6 Improper Integrals 650Chapter 12 Review 654Important Terms and Symbols 654Summary 654Review Problems 655Chapter Test 657Dieting 658CHAPTER 13 Multivariable Calculus 66013.1 Functions of Several Variables 66013.2 Partial Derivatives 66913.3 Applications of Partial Derivatives 67413.4 Higher-Order Partial Derivatives 67913.5 Maxima and Minima for Functions of Two Variables 68113.6 Lagrange Multipliers 69113.7 Lines of Regression 699Chapter 13 Review 705Important Terms and Symbols 705Summary 705Review Problems 706Chapter Test 707Data Analysis to Model Cooling 709BONUSCHAPTERSAVAILABLE ONLINECHAPTER I Introduction to Probability and Statistics 1I.1 Basic Counting Principle and Permutations 2I.2 Combinations and Other Counting Principles 9I.3 Sample Spaces and Events 19I.4 Probability 27I.5 Conditional Probability and Stochastic Processes 41I.6 Independent Events 54February 22, 2012 A01 HAEU6401 01 SE FM page xiExpanded Contents xiI.7 Bayes' Formula 64Chapter I Review 72Important Terms and Symbols 72Summary 73Review Problems 74Chapter Test 76Probability and Cellular Automata 79CHAPTER II Additional Topics in Probability 81II.1 Discrete Random Variables and Expected Value 81II.2 The Binomial Distribution 91II.3 Markov Chains 96Chapter II Review 106Important Terms and Symbols 106Summary 106Review Problems 107Chapter Test 109Markov Chains in Game Theory 110CHAPTER III Continuous Random Variables 112III.1 Continuous Random Variables 112III.2 The Normal Distribution 120III.3 The Normal Approximation to the Binomial Distribution 125Chapter III Review 128Important Terms and Symbols 128Summary 128Review Problems 129Chapter Test 129Cumulative Distribution from Data 130APPENDIX A Compound Interest Tables 711APPENDIX B Table of Selected Integrals 719APPENDIX C Areas Under the Standard Normal Curve 722APPENDIX D Algebra, Finite Mathematics, and Calculus 725English-Arabic Glossary of Mathematical Terms G-1Answers to Odd-Numbered Problems AN-1Index I-1Photo Credits P-1

Product Details

  • 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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