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The Rise and Development of the Theory of Series up to the Early 1820s
Giovanni Ferraro
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Description for The Rise and Development of the Theory of Series up to the Early 1820s
hardcover. The manuscript gives a detailed account of the theory of series in the eighteenth and early nineteenth centuries. It presents the subject from the viewpoint of the mathematicians of the period, and distinguishes earlier conceptions from ones that prevail today. Series: Sources and Studies in the History of Mathematics and Physical Sciences. Num Pages: 392 pages, 21 black & white illustrations, 1 black & white tables, biography. BIC Classification: PBK; PBX. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 747.
The theory of series in the 17th and 18th centuries poses several interesting problems to historians. Indeed, mathematicians of the time derived num- ous results that range from the binomial theorem to the Taylor formula, from the power series expansions of elementary functions to trigonometric series, from Stirling’s series to series solution of di?erential equations, from theEuler–MaclaurinsummationformulatotheLagrangeinversiontheorem, from Laplace’s theory of generating functions to the calculus of operations, etc. Most of these results were, however, derived using methods that would be found unacceptable today, thus, if we look back to the theory of series priortoCauchywithoutreconstructinginternalmotivationsandtheconc- tual background, it appears as ... Read more
The theory of series in the 17th and 18th centuries poses several interesting problems to historians. Indeed, mathematicians of the time derived num- ous results that range from the binomial theorem to the Taylor formula, from the power series expansions of elementary functions to trigonometric series, from Stirling’s series to series solution of di?erential equations, from theEuler–MaclaurinsummationformulatotheLagrangeinversiontheorem, from Laplace’s theory of generating functions to the calculus of operations, etc. Most of these results were, however, derived using methods that would be found unacceptable today, thus, if we look back to the theory of series priortoCauchywithoutreconstructinginternalmotivationsandtheconc- tual background, it appears as ... Read more
Product Details
Format
Hardback
Publication date
2007
Publisher
Springer/Sci-Tech/Trade United States
Number of pages
392
Condition
New
Series
Sources and Studies in the History of Mathematics and Physical Sciences
Number of Pages
392
Place of Publication
New York, NY, United States
ISBN
9780387734675
SKU
V9780387734675
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for The Rise and Development of the Theory of Series up to the Early 1820s
From the reviews: "Giovanni Ferraro’s book must be regarded as an important contribution to the history of mathematical analysis … . In summary, this book is thoroughly researched; it is written with a high degree of accuracy, and the broad range of fascinating material is, in general, very well organized. Therefore … every college and ... Read more