
- 592 pages
- English
- PDF
- Available on iOS & Android
Handbook of Mathematical Formulas and Integrals
About this book
The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings.- Comprehensive coverage in reference form of the branches of mathematics used in science and engineering- Organized to make results involving integrals and functions easy to locate- Results illustrated by worked examples
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Information
Table of contents
- Front Cover
- Disclaimer
- Handbook of Mathematical Formulas and Integrals
- Copyright Page
- Table of Contents
- Preface
- Preface to the Fourth Edition
- Notes for Handbook Users
- Index of Special Functions and Notations
- Chapter 0. Quick Reference List of Frequently Used Data
- Chapter 1. Numerical, Algebraic, and Analytical Results for Series and Calculus
- Chapter 2. Functions and Identities
- Chapter 3. Derivatives of Elementary Functions
- Chapter 4. Indefinite Integrals of Algebraic Functions
- Chapter 5. Indefinite Integrals of Exponential Functions
- Chapter 6. Indefinite Integrals of Logarithmic Functions
- Chapter 7. Indefinite Integrals of Hyperbolic Functions
- Chapter 8. Indefinite Integrals Involving Inverse Hyperbolic Functions
- Chapter 9. Indefinite Integrals of Trigonometric Functions
- Chapter 10. Indefinite Integrals of Inverse Trigonometric Functions
- Chapter 11. The Gamma, Beta, Pi, and Psi Functions, and the Incomplete Gamma Functions
- Chapter 12. Elliptic Integrals and Functions
- Chapter 13. Probability Distributions and Integrals, and the Error Function
- Chapter 14. Fresnel Integrals, Sine and Cosine Integrals
- Chapter 15. Definite Integrals
- Chapter 16. Different Forms of Fourier Series
- Chapter 17. Bessel Functions
- Chapter 18. Orthogonal Polynomials
- Chapter 19. Laplace Transformation
- Chapter 20. Fourier Transforms
- Chapter 21. Numerical Integration
- Chapter 22. Solutions of Standard Ordinary Differential Equations
- Chapter 23. Vector Analysis
- Chapter 24. Systems of Orthogonal Coordinates
- Chapter 25. Partial Differential Equations and Special Functions
- Chapter 26. Qualitative Properties of the Heat and Laplace Equation
- Chapter 27. Solutions of Elliptic, Parabolic, and Hyperbolic Equations
- Chapter 28. The z-Transform
- Chapter 29. Numerical Approximation
- Chapter 30. Conformal Mapping and Boundary Value Problems
- Short Classified Reference List
- Index