📖 Overview
Tables of Indefinite Integrals provides reference tables of integration formulas and techniques for calculus and applied mathematics. The book contains over 2,500 formulas organized by integrand type and complexity.
The content is structured systematically, beginning with basic algebraic and trigonometric integrals before progressing to more advanced categories including special functions, hypergeometric functions, and elliptic integrals. Each section includes formulas, conditions for validity, and key relationships between different integral forms.
An extensive index and cross-referencing system allows users to locate specific formulas and identify connections between related integration patterns. Supplementary material covers notation, common integration methods, and tables of relevant mathematical constants.
The work serves as both a practical reference for solving integration problems and a systematic compilation demonstrating the underlying patterns and structures in indefinite integration. Its comprehensive scope makes it valuable for researchers, engineers and mathematicians working with integral calculus.
👀 Reviews
There appears to be very limited publicly available reader feedback for this mathematics reference text.
What readers liked:
- Contains over 2,300 indefinite integral formulas
- Includes rules and methods for calculating integrals
- Uses clear mathematical notation
- Functions as a quick reference companion to other calculus texts
What readers disliked:
- No significant criticisms found in available reviews
Ratings:
No ratings currently available on Goodreads, Amazon, or other major review sites. This appears to be a specialized academic/reference text with limited circulation.
Note: Due to the technical and specialized nature of this mathematical handbook, comprehensive reader reviews are scarce. The book serves primarily as a reference tool for mathematicians, scientists and engineers rather than a text meant for general readership.
📚 Similar books
Table of Integrals, Series, and Products by Ryzhik
A comprehensive reference containing over 20,000 integrals and mathematical formulas with their solutions.
A Table of Series and Products by E.R Hansen A collection of infinite series, products, and integrals organized by mathematical type and structure.
Higher Transcendental Functions by Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, Francesco Tricomi A three-volume compilation covering special functions, integral transformations, and advanced mathematical operations.
Handbook of Mathematical Functions by Milton Abramowitz A reference work containing definitions, identities, and computational methods for special functions in mathematical physics.
Table of Laplace, Fourier and Z Transforms by I.G. Marichev and A.P. Prudnikov A systematic tabulation of transform pairs and their properties for solving differential and integral equations.
A Table of Series and Products by E.R Hansen A collection of infinite series, products, and integrals organized by mathematical type and structure.
Higher Transcendental Functions by Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, Francesco Tricomi A three-volume compilation covering special functions, integral transformations, and advanced mathematical operations.
Handbook of Mathematical Functions by Milton Abramowitz A reference work containing definitions, identities, and computational methods for special functions in mathematical physics.
Table of Laplace, Fourier and Z Transforms by I.G. Marichev and A.P. Prudnikov A systematic tabulation of transform pairs and their properties for solving differential and integral equations.
🤔 Interesting facts
🔢 The book contains over 2,900 indefinite integrals, making it one of the most comprehensive collections of its kind for mathematicians and scientists.
📚 Authors Brychkov and Prudnikov were part of the prestigious Dorodnicyn Computing Center of the Russian Academy of Sciences, where they made significant contributions to mathematical reference literature.
🧮 The book's systematic organization includes special functions like Bessel functions and hypergeometric functions, which are crucial in physics and engineering applications.
✍️ This work is part of a larger series of mathematical handbooks created by the authors, including their famous "Integrals and Series" volumes that are considered standard references in the field.
💡 The methods used to derive these integrals formed the basis for many modern computer algebra systems, helping develop software tools like Mathematica and Maple.