Book:Ephraim J. Borowski/Dictionary of Mathematics
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Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics
Published $\text {1989}$, Collins Reference
- ISBN 0-00-434347-6.
Subject Matter
Contents
- Preface
- Dictionary of Mathematics
- Appendix 1: Symbols and Conventions
- Appendix 2: Table of Derivatives and Integrals
- Appendix 3: Hilbert Problems
Errata
Sum of Infinite Geometric Sequence
- geometric series
- The sum of the finite initial segments of the series is:
- $\dfrac {a \paren {r^n - 1} } {r - 1}$,
- whence, if the infinite series converges, its sum is $a / \paren {r - 1}$.
Lucas Numbers
- Lucas numbers
- the sequence of integers
- $2, 1, 3, 4, 7, 11, 18, 29, \dotsc$
- derived from the same difference equation as the fibonacci numbers, but using different initial values. (Named after the English mathematician Henry Lucas (died 1663).)
Primitive of Reciprocal
- Appendix $2$: Table of derivatives and integrals of common functions
| \(\ds \map f x: \, \) | \(\ds \) | \(\) | \(\ds x^{-1}\) | |||||||||||
| \(\ds \int \map f x \rd x: \, \) | \(\ds \) | \(\) | \(\ds \ln x\) |
Source work progress
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