Cover image for Pocket book of integrals and mathematical formulas
Title:
Pocket book of integrals and mathematical formulas
Author:
Tallarida, Ronald J.
Personal Author:
Edition:
Third edition.
Publication Information:
Boca Raton, Fla. : Chapman & Hall/CRC Press, [1999]

©1999
Physical Description:
280 pages : illustrations ; 17 cm
General Note:
Includes index.
Language:
English
ISBN:
9780849302633
Format :
Book

Available:*

Library
Call Number
Material Type
Home Location
Status
Central Library QA310 .T35 1999 3RD EDITION Adult Non-Fiction Central Closed Stacks
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Summary

Summary

Pocket Book of Integrals and Mathematical Formulas, a revision of a very successful pocket book, provides a handy desk-top reference for engineers and scientists seeking essential formulas, concepts, and definitions. Topics range from pre-calculus to vector analysis and from Fourier transforms to statistics.
This third edition contains:
A new chapter on business and financial mathematics - providing information on progressions, especially geometric progressions, which is the basis for many formulas related to annuities, growth of funds, and interest payments
Additional topics in statistics - including sample size calculations for testing differences and proportions
Featuring numerical tables of probability distributions, the book also includes
Discussions on formula listings and differential equations
Fourier series
Laplace and z-transforms
Vector analysis
Orthogonal polynomials
Many other handbooks go too far in their attempts, essentially mimicking larger comprehensive texts they try to summarize. The result is a reference less detailed than the full texts and too big to be conveniently portable. Most scientists do not carry them.
Through a careful selection of topics and detail, Pocket Book of Integrals and Mathematical Formulas truly meets the needs of engineers and scientists - a convenient, usable supplementary text providing worked examples where most necessary. Its comprehensive information and convenient arrangement of tables makes it an essential and easy to use reference.


Author Notes

Ronald J. Tallarida holds B.S. and M.S. degrees in physics/mathematics and a Ph.D. in pharmacology. His primary appointment is as Professor of Pharmacology at Temple University School of Medicine, Philadelphia; he also serves as Adjunct Professor of Biomedical Engineering (Mathematics) at Drexel University in Philadelphia. Dr. Tallarida received the Lindback Award for Distinguished Teaching in 1964 while in the Drexel mathematics department.


Table of Contents

1 Elementary Algebra and Geometry
1. Fundamental Properties (Real Numbers)p. 1
2. Exponentsp. 2
3. Fractional Exponentsp. 2
3. Fractional Exponentsp. 2
4. Irrational Exponentsp. 2
5. Logarithmsp. 3
6. Factorialsp. 3
7. Binomial Theoremp. 4
8. Factors and Expansionp. 4
9. Progressionp. 4
10. Complex Numbersp. 5
11. Polar Formp. 6
12. Permutationsp. 7
13. Combinationsp. 7
14. Algebraic Equationsp. 8
15. Geometryp. 9
2 Determinants, Matrices, and Linear Systems of Equations
1. Determinantsp. 15
2. Evaluation by Cofactorsp. 16
3. Properties of Determinantsp. 17
4. Matricesp. 18
5. Operationsp. 18
6. Propertiesp. 19
7. Transposep. 20
8. Identity Matrixp. 20
9. Adjointp. 21
10. Inverse Matrixp. 21
11. Systems of Linear Equationsp. 22
12. Matrix Solutionp. 23
3 Trigonometry
1. Trianglesp. 24
2. Trigonometric Functions of an Anglep. 25
3. Trigonometric Indentitiesp. 27
4. Inverse Trigonometric Functionsp. 29
4 Analytic Geometry
1. Rectangular Coordinatesp. 31
2. Distance between Two Points; Slopep. 32
3. Equations of Straight Linesp. 33
4. Distance from a Point to a Linep. 35
5. Circlep. 36
6. Parabolap. 36
7. Ellipsep. 39
8. Hyperbolap. 41
9. Change of Axesp. 44
10. General Equation of Degree Twop. 46
11. Polar Coordinates (Figure 4.16)p. 46
12. Curves and Equationsp. 49
5 Series
1. Bernoulli and Euler Numbersp. 55
2. Series of Functionsp. 56
3. Error Functionp. 62
6 Differential Calculus
1. Notationp. 63
2. Slope of a Curvep. 63
3. Angle of Intersection of Two Curvesp. 64
4. Radius of Curvaturep. 64
5. Relative Maxima and Minimap. 65
6. Points of Inflection of a Curvep. 66
7. Taylor's Formulap. 67
8. Indeterminant Formsp. 68
9. Numerical Methodsp. 68
10. Functions of Two Variablesp. 70
11. Partial Derivativesp. 71
7 Integral Calculus
1. Indefinite Integralp. 73
2. Definite Integralp. 73
3. Propertiesp. 74
4. Common Applications of the Definite Integralp. 74
5. Cylindrical and Spherical Coordinatesp. 77
6. Double Integrationp. 78
7. Surface Area and Volume by Double Integrationp. 79
8. Centroidp. 80
8 Vector Analysis
1. Vectorsp. 82
2. Vector Differentiationp. 83
3. Divergence Theoremp. 85
4. Stokes' Theoremp. 85
5. Planar Motion in Polar Coordinatesp. 85
9 Special Functions
1. Hyperbolic Functionsp. 87
2. Gamma Function (Generalized Factorial Function)p. 88
3. Laplace Transformsp. 89
4. Z-Transformp. 92
5. Fourier Seriesp. 95
6. Functions with Period Other than 2[pi]p. 96
7. Bessel Functionsp. 98
8. Legendre Polynomialsp. 100
9. Laguerre Polynomialsp. 102
10. Hermite Polynomialsp. 103
11. Orthogonalityp. 104
10 Differential Equations
1. First Order-First Degree Equationsp. 105
2. Second Order Linear Equations (With Constant Coefficients)p. 106
11 Statistics
1. Arithmetic Meanp. 109
2. Medianp. 109
3. Modep. 109
4. Geometric Meanp. 109
5. Harmonic Meanp. 110
6. Variancep. 110
7. Standard Deviationp. 110
8. Coefficient of Variationp. 111
9. Probabilityp. 111
10. Binomial Distributionp. 113
11. Mean of Binomially Distributed Variablep. 113
12. Normal Distributionp. 113
13. Poisson Distributionp. 115
14. Empirical Distributionsp. 115
15. Estimationp. 116
16. Hypotheses Testingp. 116
17. t-Distributionp. 117
18. Hypothesis Testing with t- and Normal Distributionsp. 118
19. Chi-Square Distributionp. 121
20. Least Squares Regressionp. 123
21. The F-Distribution (Analysis of Variance)p. 126
22. Summary of Probability Distributionsp. 128
23. Sample Size Determinationsp. 130
12 Financial Mathematics
1. Simple Interestp. 134
2. True Interest Formula (Loan Payments)p. 135
3. Loan Payment Schedulesp. 136
4. Loan Balance Calculationp. 137
5. Accelerated Loan Paymentp. 138
6. Lump Sum Paymentp. 140
7. Compound Interestp. 141
8. Time to Double (Your Money)p. 143
9. Present Value of a Single Future Paymentp. 143
10. Regular Saving to Accumulate a Specified Amountp. 144
11. Monthly Payments to Achieve a Specified Amountp. 146
12. Periodic Withdrawals From an Interest-Bearing Accountp. 146
13. Periodic Withdrawals That Maintain the Principalp. 149
14. Time to Deplete an Interest-Bearing Account with Periodic Withdrawalsp. 150
15. Amounts to Withdraw for a Specified Number of Withdrawalsp151
16. Amounts to Withdraw for a Specified Number of Withdrawals IIp. 153
17. Present Value of Regular Paymentsp. 154
18. Annuitiesp. 155
19. The In-Out Formulap. 158
20. Stocks and Stock Quotationsp. 159
21. Bondsp. 160
22. Tax-Free Yieldp. 162
23. Stock Options (Puts and Calls)p. 163
24. Market Averagesp. 164
25. Mutual Fund Quotationsp. 165
26. Dollar Cost Averagingp. 166
27. Moving Averagep. 167
Table of Derivativesp. 169
Table of Integralsp. 176
Appendixp. 250
Table A.1 Areas Under the Standard Normal Curvep. 250
Table A.2 Poisson Distributionp. 251
Table A.3 t-Distributionp. 253
Table A.4 X[superscript 2] Distributionp. 254
Table A.5 Variance Ratiop. 255
Table A.6 Monthly Payments per $1000 of Loan Valuep. 257
Table A.7 The Growth of $1 at Various Annual Interest Rates and Specified Number of Yearsp. 261
Table A.8 Doubling Time for Various Annual Interest Ratesp. 262
Table A.9 Monthly Savings to Produce $1000 in the Specified Number of Years at the Given Annual Interest Rate (Compounded Monthly)p. 263
Table A.10 Monthly Savings to Produce $1000 in Specified Number of Years at the Given Annual Interest Rate (Compounded Annually)p. 264
Table A.11 Percentage of Funds That May Be Withdrawn Each Year at the Beginning of the Year at Different Annual Interest Ratesp. 265
Table A.12 Growth of Annual Deposits of $1,000 at the End of the Year at Specified Annual Interest Ratesp. 266
Table A.13 Growth of Annual Deposits of $1,000 at the Beginning of the Year at Specified Annual Interest Ratesp. 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 Monthlyp. 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 Monthlyp. 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 Monthlyp. 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 Monthlyp. 269
Indexp. 271

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