The History of Mathematics: A Brief Course (3rd Edition) by Roger L. Cooke

By Roger L. Cooke

Praise for the Second Edition

"An outstanding assemblage of globally contributions in arithmetic and, as well as use as a direction booklet, a helpful source . . . essential."

This Third Edition of The historical past of Mathematics examines the basic mathematics, geometry, and algebra of diverse cultures, tracing their utilization from Mesopotamia, Egypt, Greece, India, China, and Japan the entire strategy to Europe throughout the Medieval and Renaissance classes the place calculus was once developed.

Aimed basically at undergraduate scholars learning the background of arithmetic for technological know-how, engineering, and secondary schooling, the booklet specializes in 3 major principles: the proof of who, what, whilst, and the place significant advances in arithmetic came about; the kind of arithmetic concerned on the time; and the mixing of this knowledge right into a coherent photograph of the improvement of arithmetic. furthermore, the e-book good points conscientiously designed difficulties that advisor readers to a fuller figuring out of the correct arithmetic and its social and ancient context. Chapter-end routines, a variety of pictures, and a list of comparable web content also are integrated for readers who desire to pursue a really expert subject in additional intensity. extra good points of The background of arithmetic, 3rd Edition include:

• fabric prepared in a chronological and cultural context
• particular elements of the background of arithmetic awarded as person lessons
• New and revised workouts ranging among technical, authentic, and integrative
• person PowerPoint displays for every bankruptcy and a financial institution of homework and try questions (in addition to the routines within the book)
• An emphasis on geography, tradition, and mathematics

In addition to being a terrific coursebook for undergraduate scholars, the ebook additionally serves as a desirable reference for mathematically prone people who have an interest in studying concerning the historical past of arithmetic.

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Historiography of Mathematics in the 19th and 20th Centuries

This booklet addresses the historiography of arithmetic because it was once practiced throughout the nineteenth and twentieth centuries by way of paying precise realization to the cultural contexts within which the background of arithmetic used to be written. within the nineteenth century, the heritage of arithmetic was once recorded by means of a various diversity of individuals informed in quite a few fields and pushed by way of diverse motivations and goals.

Additional resources for The History of Mathematics: A Brief Course (3rd Edition)

Example text

Nesselmann, G. H. F. (1842). Versuch einer kritischen Geschichte der Algebra. Berlin: Reimer. Novy, N. (1996). Les étapes ou les paradigmes des mathématiques? In E. Ausejo & M. ), Paradigms and mathematics (pp. 148–168). Madrid: Siglo Veintiuno Editores. Osterhammel, J. (1998). Die Entzauberung Asiens: Europa und die asiatischen Reiche im 18. Jahrhundert. H. Beck. Singh, C. (1997). Histoire de la numération et de l’arithmétique indiennes des origines au douzième siècle. In Actes du colloque ‘L’océan Indien au carrefour des mathématiques arabes, chinoises, européennes et indiennes (pp.

Moreover, he apparently lacks in understanding of the skills and working practice of a medievalist or Arabist. This lack caused several mistakes in his evaluation. 4 30 S. Brentjes Arabic or Persian mathematical and astronomical texts also learned Sanskrit. They believed in a strong Indian background to the mathematical sciences in the Abbasid caliphate in addition to their ancient Greek legacy. The overwhelming dominance of so-called pure mathematics at German universities during the nineteenth century, an already mentioned outcome of Humboldt’s educational reforms, was a further important factor that shaped in particular Woepcke’s research and writing practice (Dauben and Scriba 2002, 124).

Rapport historique sur le progrès des sciences mathématiques depuis 1799. Paris: Imprimerie impériale. Fichte, J. (1804(1845–46)a). Grundzüge des gegenwärtigen Zeitalters. In I. ), Johann Gottlieb Fichtes sämmtliche Werke (Vol. 7, pp. 3–256). Berlin: Veit und comp. Fichte, J. (1808(1845–46)b). Reden an die deutsche Nation. In I. ), Johann Gottlieb Fichtes sämmtliche Werke (Vol. 7, pp. 257–502). Berlin: Veit und comp. Hegel, G. W. F. (1817(1832–1845)). Enzyklopädie der philosophischen Wissenschaften im Grundrisse.

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