Pocket Book of Integrals and Mathematical Formulas, 5th Edition

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Preface to the Fifth Edition

Preface to the Fourth Edition

Preface to the Third Edition

Preface to the Second Edition

Preface to the First Edition

Author

Greek Letters

**Elementary Algebra and Geometry**

Fundamental Properties (Real Numbers)

Exponents

Fractional Exponents

Irrational Exponents

Logarithms

Factorials

Binomial Theorem

Factors and Expansion

Progression

Complex Numbers

Polar Form

Permutations

Combinations

Algebraic Equations

Geometry

Pythagorean Theorem

**Determinants, Matrices, and Linear 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 (*e* > 1)

Change of Axes

General Equation of Degree 2

Polar Coordinates

Curves and Equations

Exponential Function (Half-Life)

**Series, Number Facts, and Theory**

Bernoulli and Euler Numbers

Series of Functions

Error Function

Fermat's Little Theorem

Fermat's Last Theorem

Beatty's Theorem

An Interesting Prime

Goldbach Conjecture

Twin Primes

Collatz Conjecture

**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

Application of Derivatives Related Rate Problems Rectilinear
Motion Applied Problem in Maximum and Minimum **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 Applications of Integration Indefinite
Integral The Definite Integral **Vector Analysis**
Vectors Vector Differentiation Divergence Theorem (Gauss) Stokes'
Theorem Planar Motion in Polar Coordinates Geostationary Satellite
Orbit **Special Functions** Hyperbolic Functions Gamma
Function (Generalized Factorial Function) 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) Runge Kutta Method (of Order 4)
**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 Hypothesis Testing with t- and Normal Distributions
Chi-Square Distribution Least Squares Regression Nonlinear
Regression Analysis The *F*-Distribution (Analysis of
Variance) Summary of Probability Distributions Sample Size
Determinations **Financial Mathematics** Simple
Interest True Interest Formula (Loan Payments) Loan Payment
Schedules Loan Balance Calculation Accelerated Loan Payment Lump
Sum Payment Compound Interest Time to Double (Your Money) Present
Value of a Single Future Payment Regular Saving to Accumulate a
Specified Amount Monthly Payments to Achieve a Specified Amount
Periodic Withdrawals from an Interest-Bearing Account Periodic
Withdrawals That Maintain the Principal Time to Deplete an
Interest-Bearing Account with Periodic Withdrawals Amounts to
Withdraw for a Specified Number of Withdrawals I: Payments at the
End of Each Year Amounts to Withdraw for a Specified Number of
Withdrawals II: Payments at the Beginning of Each Year Present
Value of Regular Payments Annuities The In-Out Formula Stocks and
Stock Quotations Bonds Tax-Free Yield Stock Options (Puts and
Calls) Market Averages Mutual and Quotations Dollar Cost Averaging
Moving Average **Table of Derivatives** **Table
of Integrals: Indefinite and Definite Integrals**
**Appendix** **Index**

Ronald J. Tallarida holds a BS and MS in physics/mathematics and a Ph.D in pharmacology. His primary appointment is professor of pharmacology at Temple University School of Medicine, Philadelphia, Pennsylvania, USA. For more than 30 years, he also served as adjunct professor of biomedical engineering at Drexel University, Philadelphia, Pennsylvania, USA, where he received the Lindback Award for distinguished teaching of mathematics. He has published more than 290 works, been the recipient of NIH research grants, and served as consultant to industry and government agencies. His research interests include the mathematical modeling of biological systems, feedback control, and the action of drugs and drug combinations.

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