Handbook of Mathematical Formulas and Integrals

2. Auflage 2000
ISBN: 978-0-12-382251-2
Verlag: Elsevier Science & Technology

Buch, Englisch, 433 Seiten, Format (B × H): 191 mm x 235 mm

This Second Edition follows the original pattern of presenting of presenting the most frequently used integrals, mathematical formulas, and results in a form convenient for the user. The Handbook provides an essential reference work for students and researchers in applied mathematics, engineering, and physics. The most important formulas, functions, and results used in applications of mathematics are covered.

New material includes proof by mathematical induction, properties of spherical Bessel functions, more detailed results on orthogonal polynomials, interpolation and Pade approximation, and a section on the z-transform. The original thumb-tab indexing has been retained, as it provides an easy reference system that supplements the contents listing and extensive index.

Autoren/Hrsg.

Jeffrey, Alan

Fachgebiete

• Wirtschaftswissenschaften Betriebswirtschaft Bereichsspezifisches Management Personalwesen, Human Resource Management
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Enzyklopädien, Nachschlagewerke, Wörterbücher

Inhaltsverzeichnis

Preface. Preface to the Second Edition. 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. Index.