附註:Title from e-book title screen (viewed Oct. 15, 2007).
Front Cover -- Front Matter -- Preface -- Table of Contents -- Chapter 1 Numbers and Arithmetic Operations -- 1.1 Number Systems -- 1.2 Positive and Negative Numbers -- 1.3 Addition and Subtraction -- 1.4 Multiplication and Division -- 1.5 Integer, Fractional, and Mixed Numbers -- 1.6 Reciprocals of Numbers -- 1.7 Arithmetic Operations with Fractional Numbers -- 1.8 Exponents -- 1.9 Scientific Notation -- 1.10 Operations with Numbers in Scientific Notation -- 1.11 Square and Cubic Roots -- 1.12 Common and Natural Logarithms -- 1.13 Decibel -- 1.14 Percentages -- 1.15 International System of Units (SI) -- 1.16 Graphs -- 1.17 Summary -- 1.18 Exercises -- 1.19 Solutions to Exercises -- Numbers and Arithmetic Operations -- Chapter 2 Elementary Algebra -- 2.1 Introduction -- 2.2 Algebraic Equations -- 2.3 Laws of Exponents -- 2.4 Laws of Logarithms -- 2.5 Quadratic Equations -- 2.6 Cubic and Higher Degree Equations -- 2.7 Measures of Central Tendency -- 2.8 Interpolation and Extrapolation -- 2.9 Infinite Sequences and Series -- 2.10 Arithmetic Series -- 2.11 Geometric Series -- 2.12 Harmonic Series -- 2.13 Proportions -- 2.14 Summary -- 2.15 Exercises -- 2.16 Solutions to Exercises -- Chapter 3 Intermediate Algebra -- 3.1 Systems of Two Equations -- 3.2 Systems of Three Equations -- 3.3 Matrices and Simultaneous Solution of Equations -- 3.4 Summary -- 3.5 Exercises -- 3.6 Solutions to Exercises -- Chapter 4 Fundamentals of Geometry -- 4.1 Introduction -- 4.2 Plane Geometry Figures -- 4.3 Solid Geometry Figures -- 4.4 Using Spreadsheets to Find Areas of Irregular Polygons -- 4.5 Summary -- 4.6 Exercises -- 4.7 Solutions to Exercises -- Chapter 5 Fundamentals of Plane Trigonometry -- 5.1 Introduction -- 5.2 Trigonometric Functions -- 5.3 Trigonometric Functions of an Acute Angle -- 5.4 Trigonometric Functions of an Any Angle.
5.5 Fundamental Relations and Identities -- 5.6 Triangle Formulas -- 5.7 Inverse Trigonometric Functions -- 5.8 Area of Polygons in Terms of Trigonometric Functions -- 5.9 Summary -- 5.10 Exercises -- 5.11 Solutions to Exercises -- Chapter 6 Fundamentals of Calculus -- 6.1 Introduction -- 6.2 Differential Calculus -- 6.3 The Derivative of a Function -- 6.4 Maxima and Minima -- 6.5 Integral Calculus -- 6.6 Indefinite Integrals -- 6.7 Definite Integrals -- 6.8 Summary -- 6.9 Exercises -- 6.10 Solutions to Exercises -- Chapter 7 Mathematics of Finance and Economics -- 7.1 Common Terms -- 7.2 Interest -- 7.3 Sinking Funds -- 7.4 Annuities -- 7.5 Amortization -- 7.6 Perpetuities -- 7.7 Valuation of Bonds -- 7.8 Spreadsheet Financial Functions -- 7.9 The MATLAB Financial Toolbox -- 7.10 Comparison of Alternate Proposals -- 7.11 Kelvin's Law -- 7.12 Summary -- 7.13 Exercises -- 7.14 Solutions to Exercises -- Chapter 8 Depreciation, Impairment, and Depletion -- 8.1 Depreciation Defined -- 8.2 Items that Can Be Depreciated -- 8.3 Items that Cannot Be Depreciated -- 8.4 Depreciation Rules -- 8.5 When Depreciation Begins and Ends -- 8.6 Methods of Depreciation -- 8.7 Straight-Line (SL) Depreciation Method -- 8.8 Sum of the Years Digits (SYD) Method -- 8.9 Fixed-Declining Balance (FDB) Method -- 8.10 The 125%, 150%, and 200% General Declining Balance (GDB) Methods -- 8.11 The Variable Declining Balance (VDB) method -- 8.12 The Units of Production (UOP) method -- 8.13 Depreciation Methods for Income Tax Reporting -- 8.14 The Accelerated Cost Recovery System (ACRS) -- 8.15 The Modified Accelerated Cost Recovery System (MACRS) -- 8.16 Section 179 -- 8.17 Impairments -- 8.18 Depletion -- 8.19 Valuation of a Depleting Asset -- 8.20 Summary -- 8.21 Exercises -- 8.22 Solutions to Exercises -- Chapter 9 Introduction to Probability and Statistics -- 9.1 Introduction.
9.2 Probability and Random Experiments -- 9.3 Relative Frequency -- 9.4 Combinations and Permutations -- 9.5 Joint and Conditional Probabilities -- 9.6 Bayes' Rule -- 9.7 Summary -- 9.8 Exercises -- 9.9 Solutions to Exercises -- Chapter 10 Random Variables -- 10.1 Definition of Random Variables -- 10.2 Probability Function -- 10.3 Cumulative Distribution Function -- 10.4 Probability Density Function -- 10.5 Two Random Variables -- 10.6 Statistical Averages -- 10.7 Summary -- 10.8 Exercises -- 10.9 Solutions to Exercises -- Chapter 11 Common Probability Distributions and Tests -- 11.1 Properties of Binomial Coefficients -- 11.2 The Binomial (Bernoulli) Distribution -- 11.3 The Uniform Distribution -- 11.4 The Exponential Distribution -- 11.5 The Normal (Gaussian) Distribution -- 11.6 Percentiles -- 11.7 The Student's t-Distribution -- 11.8 The Chi-Square Distribution -- 11.9 The F Distribution -- 11.10 Chebyshev's Inequality -- 11.11 Law of Large Numbers -- 11.12 The Poisson Distribution -- 11.13 The Multinomial Distribution -- 11.14 The Hypergeometric Distribution -- 11.15 The Bivariate Normal Distribution -- 11.16 The Rayleigh Distribution -- 11.17 Other Probability Distributions -- 11.18 Sampling Distribution of Means -- 11.19 Z -Score -- 11.20 Tests of Hypotheses and Levels of Significance -- 11.21 The z, t, F, and Chi-square tests -- 11.22 Summary -- 11.23 Exercises -- 11.24 Solutions to Exercises -- Chapter 12 Curve Fitting, Regression, and Correlation -- 12.1 Curve Fitting -- 12.2 Linear Regression -- 12.3 Parabolic Regression -- 12.4 Covariance -- 12.5 Correlation Coefficient -- 12.6 Summary -- 12.7 Exercises -- 12.8 Solutions to Exercises -- Chapter 13 Analysis of Variance (ANOVA) -- 13.1 Introduction -- 13.2 One-way ANOVA -- 13.3 Two-way ANOVA -- 13.4 Two-factor without Replication ANOVA -- 13.5 Two-factor with Replication ANOVA.
13.6 Summary -- 13.7 Exercises -- 13.8 Solutions to Exercises -- Appendix A Introduction to MATLAB -- A.1 MATLAB® and Simulink® -- A.2 Command Window -- A.3 Roots of Polynomials -- A.4 Polynomial Construction from Known Roots -- A.5 Evaluation of a Polynomial at Specified Values -- A.6 Rational Polynomials -- A.7 Using MATLAB to Make Plots -- A.8 Subplots -- A.9 Multiplication, Division and Exponentiation -- A.10 Script and Function Files -- A.11 Display Formats -- Appendix B The Gamma and Beta Functions and Distrubutions -- B.1 The Gamma Function -- B.2 The Gamma Distribution -- B.3 The Beta Function -- B.4 The Beta Distribution -- Appendix C -- C.1 Stochastic Processes -- C.2 Stochastic Matrices -- C.3 Transition Diagrams -- C.4 Regular Stochastic Matrices -- C.5 Some Practical Examples -- Index.
摘要:This text is targeted at high school seniors who plan to enter business, science, and technology related fields, and working professionals seeking to enhance their knowledge on various math topics including probability and optimization methods. This book begins with the basic mathematical operations and ends with advanced and yet practical examples. Contains many real-world examples supplemented with computer applications. It is ideal for self-study.
