# Book:Ephraim J. Borowski/Dictionary of Mathematics

## 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

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## 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

 $\ds \map f x: \,$ $\ds$  $\ds x^{-1}$ $\ds \int \map f x \rd x: \,$ $\ds$  $\ds \ln x$