Algebra, with Arithmetic and Mensuration
From the Sanscrit of Brahmegupta and Bhascara
Published on 18. April 2013
Book
Paperback/Softback
476 pages
978-1-108-05510-9 (ISBN)
Description
The scholar and East India Company administrator Henry Thomas Colebrooke (1765-1837) brought India's rich mathematical heritage to the attention of the wider world with the publication of this book in 1817. Based on Sanskrit texts, it contains English translations of classic works by the Indian mathematicians and astronomers Brahmagupta (598-668) and Bhascara (1114-85), who were instrumental thinkers in the development of algebra. Included here are translations of chapters 12 and 18 of Brahmagupta's best-known work, Brahmasphutasiddhanta, focusing on arithmetic and algebra respectively. Also included in this book are translations of two of the greatest works by Bhascara: Lilavati, his treatise on arithmetic, and Bijaganita, on algebra. Furthermore, Colebrooke's introduction aims to position the Indian advancement of algebra in relation to its development by the Greeks and Arabs.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 254 mm
Width: 178 mm
Thickness: 25 mm
Weight
887 gr
ISBN-13
978-1-108-05510-9 (9781108055109)
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Schweitzer Classification
Persons
Content
Dissertation; Part I. Bhascara: 1. Introductions; 2. Invocation; 3. Miscellaneous; 4. Mixture; 5. Progression; 6. Plane figure; 7. Excavations and contents of solids; 8. Stacks; 9. Saw; 10. Mounds of grain; 11. Shadow of a gnomon; 12. Pulverizer; 13. Combination; Part II. Algebra: 1. Invocation; 2. Pulverizer; 3. Affected square; 4. Simple equation; 5. Quadratic, etc., equations; 6. Multilateral equations; 7. Varieties of quadratics; 8. Equation involving a factum of unknown quantities; 9. Conclusion; Part III. Brahmegupta: 1. Arithmetic; 2. Algebra.