Publisher’s Acknowledgments We’re proud of this

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**algebra** is the most basic form of

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**algebra**" is derived from the Arabic word الجبر al-jabr, and this comes from the treatise written in the year 830 by the medieval Persian mathematician, Muhammad ibn Mūsā al-Khwārizmī, whose Arabic title, Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, can be translated as The Compendious

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**Glossary** »

**Glossary** Print this page. Addition and subtraction within

**5**, 10, 20, 100, or 1000. Addition or subtraction of two whole

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Teaching and Learning vi Contents 4.4 Speeding up algorithms via modular computation 84 4.

**5** An e ective version of Fermat’s two squares theorem 86 4.6

**Rational** reconstruction and applications 89

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