Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical
Asymptotic expansions
✍ Scribed by A. Erdelyi
- Book ID
- 127398185
- Publisher
- Dover Publications
- Year
- 2010
- Tongue
- English
- Weight
- 866 KB
- Edition
- Reprint
- Category
- Library
- ISBN-13
- 9780486603186
No coin nor oath required. For personal study only.
✦ Synopsis
Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion. Originally prepared for the Office of Naval Research, this important monograph introduces various methods for the asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansions. 1956 unabridged republication of Technical Report 3, Office of Naval Research. Author's preface. Bibliography.
✦ Subjects
Математический анализ
📜 SIMILAR VOLUMES
We introduce the concepts of pre-asymptotic schemes and pre-asymptotic expansions to study the divergent series that formally are solutions of various types of equations.