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

Pocket Book of Integrals and Mathematical Formulas / Edition 3

by Ronald J. Tallarida, Steven Strauss

Paperback

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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
Publisher: Taylor & Francis
Publication date: 07/29/1999
Series: Advances in Applied Mathematics Series , #2
Edition description: 3RD
Pages: 280
Product dimensions: 4.20(w) x 6.50(h) x 0.20(d)

Table of Contents

1Elementary Algebra and Geometry
1.Fundamental Properties (Real Numbers)1
2.Exponents2
3.Fractional Exponents2
3.Fractional Exponents2
4.Irrational Exponents2
5.Logarithms3
6.Factorials3
7.Binomial Theorem4
8.Factors and Expansion4
9.Progression4
10.Complex Numbers5
11.Polar Form6
12.Permutations7
13.Combinations7
14.Algebraic Equations8
15.Geometry9
2Determinants, Matrices, and Linear Systems of Equations
1.Determinants15
2.Evaluation by Cofactors16
3.Properties of Determinants17
4.Matrices18
5.Operations18
6.Properties19
7.Transpose20
8.Identity Matrix20
9.Adjoint21
10.Inverse Matrix21
11.Systems of Linear Equations22
12.Matrix Solution23
3Trigonometry
1.Triangles24
2.Trigonometric Functions of an Angle25
3.Trigonometric Indentities27
4.Inverse Trigonometric Functions29
4Analytic Geometry
1.Rectangular Coordinates31
2.Distance between Two Points; Slope32
3.Equations of Straight Lines33
4.Distance from a Point to a Line35
5.Circle36
6.Parabola36
7.Ellipse39
8.Hyperbola41
9.Change of Axes44
10.General Equation of Degree Two46
11.Polar Coordinates (Figure 4.16)46
12.Curves and Equations49
5Series
1.Bernoulli and Euler Numbers55
2.Series of Functions56
3.Error Function62
6Differential Calculus
1.Notation63
2.Slope of a Curve63
3.Angle of Intersection of Two Curves64
4.Radius of Curvature64
5.Relative Maxima and Minima65
6.Points of Inflection of a Curve66
7.Taylor's Formula67
8.Indeterminant Forms68
9.Numerical Methods68
10.Functions of Two Variables70
11.Partial Derivatives71
7Integral Calculus
1.Indefinite Integral73
2.Definite Integral73
3.Properties74
4.Common Applications of the Definite Integral74
5.Cylindrical and Spherical Coordinates77
6.Double Integration78
7.Surface Area and Volume by Double Integration79
8.Centroid80
8Vector Analysis
1.Vectors82
2.Vector Differentiation83
3.Divergence Theorem85
4.Stokes' Theorem85
5.Planar Motion in Polar Coordinates85
9Special Functions
1.Hyperbolic Functions87
2.Gamma Function (Generalized Factorial Function)88
3.Laplace Transforms89
4.Z-Transform92
5.Fourier Series95
6.Functions with Period Other than 2[pi]96
7.Bessel Functions98
8.Legendre Polynomials100
9.Laguerre Polynomials102
10.Hermite Polynomials103
11.Orthogonality104
10Differential Equations
1.First Order-First Degree Equations105
2.Second Order Linear Equations (With Constant Coefficients)106
11Statistics
1.Arithmetic Mean109
2.Median109
3.Mode109
4.Geometric Mean109
5.Harmonic Mean110
6.Variance110
7.Standard Deviation110
8.Coefficient of Variation111
9.Probability111
10.Binomial Distribution113
11.Mean of Binomially Distributed Variable113
12.Normal Distribution113
13.Poisson Distribution115
14.Empirical Distributions115
15.Estimation116
16.Hypotheses Testing116
17.t-Distribution117
18.Hypothesis Testing with t- and Normal Distributions118
19.Chi-Square Distribution121
20.Least Squares Regression123
21.The F-Distribution (Analysis of Variance)126
22.Summary of Probability Distributions128
23.Sample Size Determinations130
12Financial Mathematics
1.Simple Interest134
2.True Interest Formula (Loan Payments)135
3.Loan Payment Schedules136
4.Loan Balance Calculation137
5.Accelerated Loan Payment138
6.Lump Sum Payment140
7.Compound Interest141
8.Time to Double (Your Money)143
9.Present Value of a Single Future Payment143
10.Regular Saving to Accumulate a Specified Amount144
11.Monthly Payments to Achieve a Specified Amount146
12.Periodic Withdrawals From an Interest-Bearing Account146
13.Periodic Withdrawals That Maintain the Principal149
14.Time to Deplete an Interest-Bearing Account with Periodic Withdrawals150
15.Amounts to Withdraw for a Specified Number of Withdrawalsp151
16.Amounts to Withdraw for a Specified Number of Withdrawals II153
17.Present Value of Regular Payments154
18.Annuities155
19.The In-Out Formula158
20.Stocks and Stock Quotations159
21.Bonds160
22.Tax-Free Yield162
23.Stock Options (Puts and Calls)163
24.Market Averages164
25.Mutual Fund Quotations165
26.Dollar Cost Averaging166
27.Moving Average167
Table of Derivatives169
Table of Integrals176
Appendix250
Table A.1Areas Under the Standard Normal Curve250
Table A.2Poisson Distribution251
Table A.3t-Distribution253
Table A.4X[superscript 2] Distribution254
Table A.5Variance Ratio255
Table A.6Monthly Payments per $1000 of Loan Value257
Table A.7The Growth of $1 at Various Annual Interest Rates and Specified Number of Years261
Table A.8Doubling Time for Various Annual Interest Rates262
Table A.9Monthly Savings to Produce $1000 in the Specified Number of Years at the Given Annual Interest Rate (Compounded Monthly)263
Table A.10Monthly Savings to Produce $1000 in Specified Number of Years at the Given Annual Interest Rate (Compounded Annually)264
Table A.11Percentage of Funds That May Be Withdrawn Each Year at the Beginning of the Year at Different Annual Interest Rates265
Table A.12Growth of Annual Deposits of $1,000 at the End of the Year at Specified Annual Interest Rates266
Table A.13Growth of Annual Deposits of $1,000 at the Beginning of the Year at Specified Annual Interest Rates267
Table A.14Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect $1,000 Per Month Thereafter at 4% Annual Interest Compounded Monthly268
Table A.15Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect $1,000 Per Month Thereafter at 6% Annual Interest Compounded Monthly268
Table A.16Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect $1,000 Per Month Thereafter at 8% Annual Interest Compounded Monthly269
Table A.17Monthly Amount That Must Be Saved for the Years Indicated in Order to Collect $1,000 Per Month Thereafter at 10% Annual Interest Compounded Monthly269
Index271

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