ISBN-10:
0849302633
ISBN-13:
9780849302633
Pub. Date:
07/29/1999
Publisher:
Taylor & Francis # Pocket Book of Integrals and Mathematical Formulas / Edition 3

## Paperback

Current price is , Original price is \$26.95. You

## Overview

This text extends the MATLAB Primer in order to represent the significant features introduced in MATLAB 5.0. This pocket book serves as an excellent resource for students and engineers requiring a high-level introduction and handy reference to MATLAB 5.0, helping readers to team efficiently and independently without having to delve through manuals.

## Product Details

ISBN-13: 9780849302633 Taylor & Francis 07/29/1999 Advances in Applied Mathematics Series , #2 3RD 280 4.20(w) x 6.50(h) x 0.20(d)

## Table of Contents

 1 Elementary Algebra and Geometry 1. Fundamental Properties (Real Numbers) 1 2. Exponents 2 3. Fractional Exponents 2 3. Fractional Exponents 2 4. Irrational Exponents 2 5. Logarithms 3 6. Factorials 3 7. Binomial Theorem 4 8. Factors and Expansion 4 9. Progression 4 10. Complex Numbers 5 11. Polar Form 6 12. Permutations 7 13. Combinations 7 14. Algebraic Equations 8 15. Geometry 9 2 Determinants, Matrices, and Linear Systems of Equations 1. Determinants 15 2. Evaluation by Cofactors 16 3. Properties of Determinants 17 4. Matrices 18 5. Operations 18 6. Properties 19 7. Transpose 20 8. Identity Matrix 20 9. Adjoint 21 10. Inverse Matrix 21 11. Systems of Linear Equations 22 12. Matrix Solution 23 3 Trigonometry 1. Triangles 24 2. Trigonometric Functions of an Angle 25 3. Trigonometric Indentities 27 4. Inverse Trigonometric Functions 29 4 Analytic Geometry 1. Rectangular Coordinates 31 2. Distance between Two Points; Slope 32 3. Equations of Straight Lines 33 4. Distance from a Point to a Line 35 5. Circle 36 6. Parabola 36 7. Ellipse 39 8. Hyperbola 41 9. Change of Axes 44 10. General Equation of Degree Two 46 11. Polar Coordinates (Figure 4.16) 46 12. Curves and Equations 49 5 Series 1. Bernoulli and Euler Numbers 55 2. Series of Functions 56 3. Error Function 62 6 Differential Calculus 1. Notation 63 2. Slope of a Curve 63 3. Angle of Intersection of Two Curves 64 4. Radius of Curvature 64 5. Relative Maxima and Minima 65 6. Points of Inflection of a Curve 66 7. Taylor's Formula 67 8. Indeterminant Forms 68 9. Numerical Methods 68 10. Functions of Two Variables 70 11. Partial Derivatives 71 7 Integral Calculus 1. Indefinite Integral 73 2. Definite Integral 73 3. Properties 74 4. Common Applications of the Definite Integral 74 5. Cylindrical and Spherical Coordinates 77 6. Double Integration 78 7. Surface Area and Volume by Double Integration 79 8. Centroid 80 8 Vector Analysis 1. Vectors 82 2. Vector Differentiation 83 3. Divergence Theorem 85 4. Stokes' Theorem 85 5. Planar Motion in Polar Coordinates 85 9 Special Functions 1. Hyperbolic Functions 87 2. Gamma Function (Generalized Factorial Function) 88 3. Laplace Transforms 89 4. Z-Transform 92 5. Fourier Series 95 6. Functions with Period Other than 2[pi] 96 7. Bessel Functions 98 8. Legendre Polynomials 100 9. Laguerre Polynomials 102 10. Hermite Polynomials 103 11. Orthogonality 104 10 Differential Equations 1. First Order-First Degree Equations 105 2. Second Order Linear Equations (With Constant Coefficients) 106 11 Statistics 1. Arithmetic Mean 109 2. Median 109 3. Mode 109 4. Geometric Mean 109 5. Harmonic Mean 110 6. Variance 110 7. Standard Deviation 110 8. Coefficient of Variation 111 9. Probability 111 10. Binomial Distribution 113 11. Mean of Binomially Distributed Variable 113 12. Normal Distribution 113 13. Poisson Distribution 115 14. Empirical Distributions 115 15. Estimation 116 16. Hypotheses Testing 116 17. t-Distribution 117 18. Hypothesis Testing with t- and Normal Distributions 118 19. Chi-Square Distribution 121 20. Least Squares Regression 123 21. The F-Distribution (Analysis of Variance) 126 22. Summary of Probability Distributions 128 23. Sample Size Determinations 130 12 Financial Mathematics 1. Simple Interest 134 2. True Interest Formula (Loan Payments) 135 3. Loan Payment Schedules 136 4. Loan Balance Calculation 137 5. Accelerated Loan Payment 138 6. Lump Sum Payment 140 7. Compound Interest 141 8. Time to Double (Your Money) 143 9. Present Value of a Single Future Payment 143 10. Regular Saving to Accumulate a Specified Amount 144 11. Monthly Payments to Achieve a Specified Amount 146 12. Periodic Withdrawals From an Interest-Bearing Account 146 13. Periodic Withdrawals That Maintain the Principal 149 14. Time to Deplete an Interest-Bearing Account with Periodic Withdrawals 150 15. Amounts to Withdraw for a Specified Number of Withdrawalsp151 16. Amounts to Withdraw for a Specified Number of Withdrawals II 153 17. Present Value of Regular Payments 154 18. Annuities 155 19. The In-Out Formula 158 20. Stocks and Stock Quotations 159 21. Bonds 160 22. Tax-Free Yield 162 23. Stock Options (Puts and Calls) 163 24. Market Averages 164 25. Mutual Fund Quotations 165 26. Dollar Cost Averaging 166 27. Moving Average 167 Table of Derivatives 169 Table of Integrals 176 Appendix 250 Table A.1 Areas Under the Standard Normal Curve 250 Table A.2 Poisson Distribution 251 Table A.3 t-Distribution 253 Table A.4 X[superscript 2] Distribution 254 Table A.5 Variance Ratio 255 Table A.6 Monthly Payments per \$1000 of Loan Value 257 Table A.7 The Growth of \$1 at Various Annual Interest Rates and Specified Number of Years 261 Table A.8 Doubling Time for Various Annual Interest Rates 262 Table A.9 Monthly Savings to Produce \$1000 in the Specified Number of Years at the Given Annual Interest Rate (Compounded Monthly) 263 Table A.10 Monthly Savings to Produce \$1000 in Specified Number of Years at the Given Annual Interest Rate (Compounded Annually) 264 Table A.11 Percentage of Funds That May Be Withdrawn Each Year at the Beginning of the Year at Different Annual Interest Rates 265 Table A.12 Growth of Annual Deposits of \$1,000 at the End of the Year at Specified Annual Interest Rates 266 Table A.13 Growth of Annual Deposits of \$1,000 at the Beginning of the Year at Specified Annual Interest Rates 267 Table A.14 Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect \$1,000 Per Month Thereafter at 4% Annual Interest Compounded Monthly 268 Table A.15 Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect \$1,000 Per Month Thereafter at 6% Annual Interest Compounded Monthly 268 Table A.16 Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect \$1,000 Per Month Thereafter at 8% Annual Interest Compounded Monthly 269 Table A.17 Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect \$1,000 Per Month Thereafter at 10% Annual Interest Compounded Monthly 269 Index 271

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