Pocket Book of Integrals and Mathematical Formulas, Third Edition

Ronald J. Tallarida (Autor)

Buch | Softcover

280 Seiten

1999 | 3rd New edition
Chapman & Hall/CRC (Verlag)
978-0-8493-0263-3 (ISBN)

Infos

Covers topics ranging from pre-calculus to vector analysis and from Fourier transforms to statistics. This work contains a 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.

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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.

Inhalt

Elementary Algebra and Geometry
Fundamental Properties (Real Numbers)
Exponents
Fractional Exponents
Irrational Exponents
Logarithms
Factorials
Binomial Theorem
Factors and Expansion
Progressions
Complex Numbers
Polar Form
Permutations
Combinations
Algebraic Equations
Geometry
Determinants, Matrices, and Systems of Equations
Determinants
Evaluation by Cofactors
Properties of Determinants
Matrices
Operations
Properties
Transpose
Identity Matrix
Adjoint
Inverse Matrix
Systems of Linear Equations
Matrix Solution
Trigonometry
Triangles
Trigonometric Functions of an Angle
Trigonometric Identities
Inverse Trigonometric Functions
Analytic Geometry
Rectangular Coordinates
Distance between Two Points; Slope
Equations of Straight Lines
Distance from a Point to a Line
Circle
Parabola
Ellipse
Hyperbola
Changes of Axes
General Equation of Degree Two
Polar Coordinates
Curves and Equations
Series
Bernoulli and Euler Numbers
Series of Functions
Error Function
Differential Calculus
Notation
Slope of a Curve
Angle of Intersection of Two Curves
Radius of Curvature
Relative Maxima and Minima
Points of Inflection of a Curve
Taylor's Formula
Indeterminant Forms
Numerical Methods
Functions of Two Variables
Partial Derivatives
Integral Calculus
Indefinite Integral
Definite Integral
Properties
Common Applications of the Definite Integral
Cylindrical and Spherical Coordinates
Double Integration
Surface Area and Volume by Double Integration
Centroid
Vector Analysis
Vectors
Vector Differentiation
Divergence Theorem
Stokes' Theorem
Planar Motion in Polar Coordinates
Special Functions
Hyperbolic Functions
Gamma Functions
Laplace Transforms
z-transform
Fourier Series
Functions with Period Other than 2¿
Bessel Functions
Legendre Polynomials
Laguerre Polynomials
Hermite Polynomials
Orthogonality
Differential Equations
First Order-First Degree Equations
Second Order Linear Equations (with Constant Coefficients)
Statistics
Arithmetic Mean
Median
Mode
Geometric Mean
Harmonic Mean
Variance
Standard Deviation
Coefficient of Variation
Probability
Binomial Distribution
Mean of Binomially Distributed Variable
Normal Distribution
Poisson Distribution
Empirical Distributions
Estimation
Hypotheses Testing
t-Distribution
Hypotheses Testing with t- and Normal Distributions
Chi-Square Distribution
Least Squares Regression
The F-Distribution (Analysis of Variance)
Summary of Probability Distributions
Financial Mathematics
Table of Derivatives
Table of Integrals
Appendix
A.1: Areas under the Standard Normal Curve
A.2: Poisson Distribution
A.3: t-Distribution
A.4: Chi-Square Distribution
A.5: Variance Ratio
Index

Produkt-Details

• Erscheint lt. Verlag: 29.7.1999
• Reihe/Serie: Advances in Applied Mathematics
• Zusatzinfo: 25 Tables, black and white
• Sprache: englisch
• Maße: 108 x 165 mm
• Gewicht: 181 g
• Einbandart: Paperback
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-8493-0263-3 / 0849302633
• ISBN-13: 978-0-8493-0263-3 / 9780849302633
• Zustand: Neuware