Bibliothèque de L'IMIST/CNRST

The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Many of the entries are based upon the updated sixth edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. The Third Edition has new chapters covering solutions of elliptic, parabolic and hyperbolic equations and qualitative properties of the heat and Laplace equation. Key Features: * Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results * Contents selected and organized to suit the needs of students, scientists, and engineers * Contains tables of Laplace and Fourier transform pairs * New section on numerical approximation * New section on the z-transform * Easy reference system.

Preface -- Index of Special Functions and Notations -- Quick Reference List of Frequently Used Data -- Numerical, Algebraic, and Analytical Results for Series and Calculus -- Functions and Identities -- Derivatives of Elementary Functions -- Indefinite Integrals of Algebraic Functions -- Indefinite Integrals of Exponential Functions -- Indefinite Integrals of Logarithmic Functions -- Indefinite Integrals of Hyperbolic Functions -- Indefinite Integrals Involving Inverse Hyperbolic Functions -- Indefinite Integrals of Trigonometric Functions -- Indefinite Integrals of Inverse Trigonometric Functions -- The Gamma, Beta, Pi, and Psi Functions -- Elliptic Integrals and Functions -- Probability Integrals and the Error Function -- Fresnel Integrals, Sine and Cosine Integrals -- Definite Integrals -- Different Forms of Fourier Series -- Bessel Functions -- Orthogonal Polynomials -- Laplace Transformation -- Fourier Transforms -- Numerical Integration -- Solutions of Standard Ordinary Differential Equations -- Vector Analysis -- Systems of Orthogonal Coordinates -- Partial Differential Equations and Special Functions -- The z-Transform -- Numerical Approximation -- Short Classified Reference List -- Solutions of Elliptic, Parabolic and Hyperbolic Equations -- Qualitative Properties of the Heat and Laplace Equation -- Index.

Includes bibliographical references and index.

Sensors and imaging -- Signal processing and pattern recognition -- Application gallery.

Description based on print version record.