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The Algebra of Mohammed Ben Musa

The Algebra of Mohammed ben Musa

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"The Algebra of Mohammed ben Musa" by Mohammed ben Musa is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Mohammed ben Musa (c.780-c.850) was a Persian mathematician and astronomer. The word 'algebra' derives from his Compendious Book on Calculation by Completion and Balancing, which introduced modern algebraic methods. First published in 1831, this translation from Arabic into English was prepared by the German orientalist Friedrich August Rosen (1805-37). The key algebraic methods introduced are reduction, completion and balancing. To reduce an equation is to change an expression to a simpler form; completion is to remove a negative quantity from one side of the equation and add it to the other; and balancing is to cancel like terms on opposite sides of the equation. An account is also given of solving polynomial equations up to the second degree. Rosen's introduction and notes accompany the translation, which remains relevant in the history of mathematics.

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Best For: Students and scholars interested in the historical development of algebra and early mathematical texts.
Focus: The introduction of modern algebraic methods such as reduction, completion, and balancing by Mohammed ben Musa.
Covers: The translation of an important 9th-century Arabic mathematical work into English, highlighting foundational algebraic concepts.
Why It Matters: It provides insight into the origins of algebra and the contributions of early Persian mathematicians to modern mathematics.

"The Algebra of Mohammed ben Musa" by Mohammed ben Musa is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Mohammed ben Musa

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

Mohammed ben Musa (c.780-c.850) was a Persian mathematician and astronomer. The word 'algebra' derives from his Compendious Book on Calculation by Completion and Balancing, which introduced modern algebraic methods. First published in 1831, this translation from Arabic into English was prepared by the German orientalist Friedrich August Rosen (1805-37). The key algebraic methods introduced are reduction, completion and balancing. To reduce an equation is to change an expression to a simpler form; completion is to remove a negative quantity from one side of the equation and add it to the other; and balancing is to cancel like terms on opposite sides of the equation. An account is also given of solving polynomial equations up to the second degree. Rosen's introduction and notes accompany the translation, which remains relevant in the history of mathematics.

AuthorMohammed ben Musa
PublisherCambridge University Press
Published2013-03-28
ISBN-139781108055079
BindingPaperback
Pages350
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesCambridge Library Collection - Perspectives from the Royal A

Format: Paperback

Length: 350 pages

Language: English

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