## The New Encyclopędia Britannica, Volume 30Encyclopędia Britannica, 1992 - Encyclopedias and dictionaries |

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Page 14

These numbers were the first mathematical creation of the Modern number theory

is a broad subject that encomhuman mind ; interest in them is as old as

civilization itself . passes topics only indirectly connected with the

Number ...

These numbers were the first mathematical creation of the Modern number theory

is a broad subject that encomhuman mind ; interest in them is as old as

civilization itself . passes topics only indirectly connected with the

**integers**. ItNumber ...

Page 23

Because each of x , y , z is a linear combination of u , v , w with

coefficients ,

Lagrange states that every positive

squares of

Because each of x , y , z is a linear combination of u , v , w with

**integer**coefficients ,

**integer**values of u , v , w produce**integer**... known theorem ofLagrange states that every positive

**integer**n is expressible as a sum of foursquares of

**integers**.Page 28

The alge- Thus , if braic

= 112 . , Examples of algebraic

if ...

The alge- Thus , if braic

**integers**of degree 1 are the ordinary rational**integers**. a= 112 . , Examples of algebraic

**integers**... Because a quadratic equation with**integer**coefficients can have complex roots , is essentially the same factorizationif ...

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### Contents

NUMBER GAMES and Other Mathematical Recreations | 1 |

NUMBER THEORY | 14 |

NUMERICAL ANALYSIS | 38 |

Copyright | |

53 other sections not shown

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acid animals appear approximation basins become body called carved cause centre century coast colour common contains continental continued culture currents decorated depth early east eastern effect energy equation European example factors field Figure French function given Guinea Gulf human important increased integers islands Italy kilometres known land less light linear magic major margins Marianas material method metres natural North northern object occur ocean organisms original Pacific painting patterns percent period Polynesian population positive practice prime problem produced reefs region relatively represent result ridges rise salinity sediments societies solution South square style surface temperature theory tion traditional Truk types United usually vitamin waves western wind