Pocket Book of Integrals and Mathematical Formulas, 4th Edition:Pocket Book of Integrals and Mathematical Formulas, 4th Edition
Author(s): Ronald J. Tallarida
Publisher: Chapman & Hall/CRC; 4 edition
Date : 2008
Pages : 1
Format : PDF
OCR : Yes
Quality :
Language : English
ISBN-10 : 1420063049
ISBN-13 :
Convenient Organization of Essential Material so You Can Look up Formulas Fast
Containing a careful selection of standard and timely topics, the Pocket Book of Integrals and Mathematical Formulas, Fourth Edition presents many numerical and statistical tables, scores of worked examples, and the most useful mathematical formulas for engineering and scientific applications. This fourth edition of a bestseller provides even more comprehensive coverage with the inclusion of several additional topics, all while maintaining its accessible, clear style and handy size.
New to the Fourth Edition
* An expanded chapter on series that covers many fascinating properties of the natural numbers that follow from number theory
* New applications such as geostationary satellite orbits and drug kinetics
* An expanded statistics section that discusses nonlinear regression as well as the normal approximation of the binomial distribution
* Revised format of the table of integrals for easier use of the forms and functions
Easy to Use on the Go
The book addresses a range of areas, from elementary algebra, geometry, matrices, and trigonometry to calculus, vector analysis, differential equations, and statistics. Featuring a convenient, portable size, it is sure to remain in the pockets or on the desks of all who use mathematical formulas and tables of integrals and derivatives.
Algebra and Geometry
1. Fundamental Properties
(Real Numbers) 1
2. Exponents 2
3. Fractional Exponents 2
4. Irrational Exponents 2
5. Logarithms 2
6. Factorials 3
7. Binomial Theorem 3
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
16. Pythagorean Theorem 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 23
12. Matrix Solution 24
3 Trigonometry
1. Triangles 25
2. Trigonometric Functions of an Angle 26
3. Trigonometric Identities 28
4. Inverse Trigonometric Functions 31
4 Analytic Geometry
1. Rectangular Coordinates 32
2. Distance between Two Points: Slope 33
3. Equations of Straight Lines 34
4. Distance from a Point to a Line 37
5. Circle 37
6. Parabola 37
7. Ellipse 39
8. Hyperbola (e > 1) 43
9. Change of Axes 44
10. General Equation of Degree 2 47
11. Polar Coordinates 47
12. Curves and Equations 50
13. Exponential Function (Half-Life) 56
5 Series, Number Facts, and Theory
1. Bernoulli and Euler Numbers 57
2. Series of Functions 58
3. Error Function 63
4. Fermat’s Little Theorem 64
5. Fermat’s Last Theorem 64
6. Beatty’s Theorem 64
7. An Interesting Prime 66
8. Goldbach Conjecture 66
9. Twin Primes 67
10. Collatz Conjecture 67
6 Differential Calculus
1. Notation 68
2. Slope of a Curve 68
3. Angle of Intersection of Two Curves 69
4. Radius of Curvature 69
5. Relative Maxima and Minima 70
6. Points of Inflection of a Curve 70
7. Taylor’s Formula 71
8. Indeterminant Forms 72
9. Numerical Methods 73
10. Functions of Two Variables 75
11. Partial Derivatives 76
7 Integral Calculus
1. Indefinite Integral 77
2. Definite Integral 77
3. Properties 78
4. Common Applications of the
Definite Integral 78
5. Cylindrical and Spherical Coordinates 80
6. Double Integration 82
7. Surface Area and Volume by
Double Integration 83
8. Centroid 83
8 Vector Analysis
1. Vectors 86
2. Vector Differentiation 88
3. Divergence Theorem (Gauss) 89
4. Stokes’ Theorem 89
5. Planar Motion in Polar Coordinates 90
6. Geostationary Satellite Orbit 90
9 Special Functions
1. Hyperbolic Functions 92
2. Gamma Function (Generalized
Factorial Function) 93
3. Laplace Transforms 94
4. Z-Transform 97
5. Fourier Series 100
6. Functions with Period Other Than 2π 101
7. Bessel Functions 103
8. Legendre Polynomials 105
9. Laguerre Polynomials 107
10. Hermite Polynomials 108
11. Orthogonality 108
10 Differential Equations
1. First-Order, First-Degree Equations 110
2. Second-Order Linear Equations
(with Constant Coefficients) 112
3. Runge Kutta Method (of Order 4) 114
11 Statistics
1. Arithmetic Mean 116
2. Median 116
3. Mode 116
4. Geometric Mean 116
5. Harmonic Mean 117
6. Variance 117
7. Standard Deviation 117
8. Coefficient of Variation 118
9. Probability 118
10. Binomial Distribution 120
11. Mean of Binomially Distributed
Variable 121
12. Normal Distribution 121
13. Poisson Distribution 122
14. Empirical Distributions 123
15. Estimation 123
16. Hypotheses Testing 124
17. t-Distribution 125
18. Hypothesis Testing with t- and
Normal Distributions 126
19. Chi-Square Distribution 129
20. Least Squares Regression 131
21. Nonlinear Regression Analysis 134
22. The F-Distribution (Analysis of
Variance) 138
23. Summary of Probability
Distributions 139
24. Sample Size Determinations 142
12 Financial Mathematics
1. Simple Interest 146
2. True Interest Formula
(Loan Payments) 147
3. Loan Payment Schedules 148
4. Loan Balance Calculation 149
5. Accelerated Loan Payment 150
6. Lump Sum Payment 152
7. Compound Interest 153
8. Time to Double (Your Money) 155
9. Present Value of a Single
Future Payment 155
10. Regular Saving to Accumulate a
Specified Amount 156
11. Monthly Payments to Achieve a
Specified Amount 158
12. Periodic Withdrawals from an
Interest-Bearing Account 158
13. Periodic Withdrawals That
Maintain the Principal 161
14. Time to Deplete an Interest-
Bearing Account with Periodic
Withdrawals 162
15. Amounts to Withdraw for a
Specified Number of Withdrawals I:
Payments at the End of Each Year 163
16. Amounts to Withdraw for a Specified
Number of Withdrawals II: Payments
at the Beginning of Each Year 165
17. Present Value of Regular Payments 167
18. Annuities 168
19. The In-Out Formula 170
20. Stocks and Stock Quotations 172
21. Bonds 173
22. Tax-Free Yield 175
23. Stock Options (Puts and Calls) 176
24. Market Averages 177
25. Mutual Fund Quotations 177
26. Dollar Cost Averaging 179
27. Moving Average 180
Table of Derivatives 182
Table of Integrals:
Indefinite and Definite Integrals 187
Appendix 243
Index 263
:27bb :27bb :27bb :27bb
Pocket Book of Integrals and Mathematical Formulas 4th Edition
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:cacakiki10de :cacakiki10de :cacakiki10de :cacakiki10de
感谢楼主贡献:27bb :11bb
哈哈,终于有附件了,可以下载了,感谢啊
好书好书
:11bb :11bb :11bb :11bb :11bb
非常感谢,经典书籍!!!!!!!!
看看积分方面的,谢谢楼主的盛情了
看看
挺不错的资料,谢谢!!!!!!!!:11bb
郝項很不錯的一本書ㄋ
向宰來看看
謝謝囉
貌似很精简的书。。。。。。。。。。。。。
看起来很好:30bb :30bb
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我真的太需要這一本書了 謝謝大大的分享
感谢楼主分享!:30bb :30bb
好!好!好!感谢楼主分享!!!!!!!!!
楼主的书很好!!谢谢分享!!楼主的书很好!!谢谢分享!!!!
谢谢楼主
:30bb :30bb :30bb :30bb
:11bb :11bb :11bb
楼主的书很好!!谢谢分享!!楼主的书很好!!谢谢分享!!!!
好书,不过发到这个版是不是不太合适!
:nose:nose
看一下啊。。。。。。。。。。。。。。
恶补数学,呵呵
谢谢楼主了
回复 drjiachen 的帖子
:46bb:53bb
thanks for sharing
thank you very much
我正在找这类材料,谢谢!
thanks very much
有些数学书还是要看一下
这个很有用,谢谢分享!!!!
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thanks
参考工具书
额发给Herr他3额