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Mathematics : For Business, Life Sciences, and Social Sciences

ISBN-10: 0471548464

ISBN-13: 9780471548461

Edition: 5th 1993

Authors: Abe Mizrahi, Michael Sullivan

List price: $51.00
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Book details

List price: $51.00
Edition: 5th
Copyright year: 1993
Publisher: Wiley & Sons, Incorporated, John
Binding: Hardcover
Pages: 992
Size: 8.07" wide x 9.49" long
Weight: 1.738
Language: English

Reviewp. 1
Rectangular Coordinates and Graphsp. 2
The Straight Linep. 14
Parallel and Intersecting Lines; Applicationsp. 26
Functionsp. 36
More about Functionsp. 51
Systems of Linear Equations; Matricesp. 72
Systems of Linear Equations: Substitution; Eliminationp. 73
Systems of Linear Equations: Matrix Methodp. 86
Systems of m Linear Equations Containing n Variablesp. 98
Matrix Algebrap. 110
Multiplication of Matricesp. 122
Inverse of a Matrixp. 136
Linear Programmingp. 163
Linear Inequalitiesp. 164
A Geometric Approach to Linear Programming Problemsp. 177
The Simplex Tableau; Pivotingp. 194
The Simplex Method: Solving Maximum Problems in Standard Formp. 205
The Simplex Method with Mixed Constraints; Phase I/Phase IIp. 220
Using LINDO to Solve Linear Programming Problemsp. 231
Sets; Counting Techniquesp. 251
Setsp. 252
The Multiplication Principlep. 266
Permutationsp. 271
Combinationsp. 277
The Binomial Theoremp. 282
Probabilityp. 293
Sample Spaces and Alignment of Probabilitiesp. 295
Properties of the Probability of an Eventp. 307
Equally Likely Outcomesp. 315
Conditional Probabilityp. 322
Independent Eventsp. 332
Bayes' Formulap. 338
The Binomial Probability Modelp. 348
Expected Valuep. 358
Markov Chains; Gamesp. 381
Markov Chains and Transition Matricesp. 382
Regular Markov Chainsp. 391
Absorbing Markov Chainsp. 400
Two-Person Gamesp. 409
Mixed Strategiesp. 414
Optimal Strategy in Two-Person Zero-Sum Games with 2 x 2 Matricesp. 417
Statisticsp. 427
Organization of Datap. 429
Measures of Central Tendencyp. 436
Measures of Dispersionp. 443
The Normal Distributionp. 449
Financep. 463
Simple Interestp. 464
Compound Interestp. 467
Annuities; Sinking Fundsp. 473
Present Value of an Annuity; Amortizationp. 479
Applications: Leasing; Capital Expenditures: Bondsp. 486
The Limit and the Derivative of a Functionp. 494
The Idea of a Limitp. 495
Algebraic Techniques for Finding Limitsp. 502
Continuous Functionsp. 511
The Tangent Problem; The Derivativep. 520
Derivative Formulasp. 530
The Simple Power Rule; Sum and Difference Formulasp. 531
Rates of Change; Application to Economics: Marginal Analysisp. 538
Product and Quotient Formulasp. 545
The Extended Power Rule; The Chain Rulep. 556
Higher-Order Derivatives; Velocity and Accelerationp. 564
Implicit Differentiationp. 571
The Derivative of x[superscript p/q]p. 578
Applications: Graphing Functions; Optimizationp. 587
Horizontal and Vertical Tangent Linesp. 588
Increasing and Decreasing Functions; The First Derivative Testp. 592
Concavity; The Second Derivative Testp. 605
Asymptotesp. 619
Optimizationp. 628
Elasticity of Demandp. 643
Related Ratesp. 649
The Differential and Linear Approximationsp. 657
Exponential and Logarithm Functionsp. 671
The Exponential Functionp. 672
The Derivative of the Exponential Functionp. 688
The Logarithm Functionp. 693
The Derivative of the Logarithm Functionp. 703
The Integral Calculusp. 713
Antiderivatives; The Indefinite Integralp. 714
Integration by Substitution; Integration by Partsp. 725
The Definite Integralp. 734
Area under a Graphp. 744
Approximating Definite Integralsp. 758
Improper Integralsp. 765
More Applications of the Integralp. 772
Average Value of a Functionp. 773
Discrete Probability Functionsp. 776
Probability Density Functionsp. 783
Differential Equationsp. 791
Functions of Two Or More Variablesp. 802
Rectangular Coordinates in Spacep. 803
Functions and Their Graphsp. 806
Partial Derivativesp. 812
Local Maxima and Local Minimap. 818
LaGrange Multipliersp. 825
Appendix: Review of Algebra and Geometry for Calculusp. 834
A.1 Real Numbersp. 835
A.2 Factoring Polynomialsp. 844
A.3 Quadratic Equationsp. 851
A.4 Solving Inequalitiesp. 854
A.5 Geometry Topicsp. 860
Tablesp. 865
Answers to Odd-Numbered Problemsp. 875
Indexp. 959
Table of Contents provided by Blackwell. All Rights Reserved.