The Resource The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro
The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro
Resource Information
The item The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- "This monograph not only describes the entire complex of 17th- and 18th-century procedures and results concerning series, but it also reconstructs the implicit and explicit principles upon which they are based, draws attention to the underlying philosophy, highlights competing approaches, and investigates the mathematical context where the theory originated. The aim here is to improve the understanding of the framework of 17th- and 18th-century mathematics and avoid trivializing the complexity of historical development by bringing It into line with modern concepts and views and by tacitly assuming that certain results belong, in some sense, to a unified theory that has come down to us today."--Jacket
- Language
- eng
- Extent
- 1 online resource (xv, 389 pages)
- Contents
-
- Front Matter; Series before the rise of the calculus; Geometrical quantities and series in Leibniz; The Bernoulli series and Leibniz's analogy; Newton's method of series; Jacob Bernoulli's treatise on series; The Taylor series; Quantities and their representations; The formal-quantitative theory of series; The first appearance of divergent series; De Moivre's recurrent series and Bernoulli's method; Acceleration of series and Stirling's series; Maclaurin's contribution; The young Euler between innovation and tradition; Euler's derivation of the Euler-Maclaurin summation formula
- Isbn
- 9780387734682
- Label
- The rise and development of the theory of series up to the early 1820s
- Title
- The rise and development of the theory of series up to the early 1820s
- Statement of responsibility
- Giovanni Ferraro
- Subject
-
- History
- History
- MATHEMATICS -- Infinity
- Mathematics
- Mathematics
- Mathematics -- History -- 17th century
- Mathematics -- History -- 17th century
- Mathematics -- History -- 18th century
- Mathematics -- History -- 18th century
- Series
- Series
- Series -- History -- 17th century
- Series -- History -- 17th century
- Series -- History -- 18th century
- Series -- History -- 18th century
- 1600-1799
- Language
- eng
- Summary
- "This monograph not only describes the entire complex of 17th- and 18th-century procedures and results concerning series, but it also reconstructs the implicit and explicit principles upon which they are based, draws attention to the underlying philosophy, highlights competing approaches, and investigates the mathematical context where the theory originated. The aim here is to improve the understanding of the framework of 17th- and 18th-century mathematics and avoid trivializing the complexity of historical development by bringing It into line with modern concepts and views and by tacitly assuming that certain results belong, in some sense, to a unified theory that has come down to us today."--Jacket
- Cataloging source
- COO
- http://library.link/vocab/creatorDate
- 1957-
- http://library.link/vocab/creatorName
- Ferraro, Giovanni
- Dewey number
- 515/.24309
- Illustrations
- illustrations
- Index
- index present
- LC call number
- QA295
- LC item number
- .F474 2008
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Sources and studies in the history of mathematics and physical sciences
- http://library.link/vocab/subjectName
-
- Series
- Series
- Mathematics
- Mathematics
- MATHEMATICS
- Series
- Mathematics
- Mathematics
- Series
- Mathematics
- Series
- Label
- The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro
- Bibliography note
- Includes bibliographical references (pages 363-382) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Front Matter; Series before the rise of the calculus; Geometrical quantities and series in Leibniz; The Bernoulli series and Leibniz's analogy; Newton's method of series; Jacob Bernoulli's treatise on series; The Taylor series; Quantities and their representations; The formal-quantitative theory of series; The first appearance of divergent series; De Moivre's recurrent series and Bernoulli's method; Acceleration of series and Stirling's series; Maclaurin's contribution; The young Euler between innovation and tradition; Euler's derivation of the Euler-Maclaurin summation formula
- Control code
- 233971373
- Dimensions
- unknown
- Extent
- 1 online resource (xv, 389 pages)
- Form of item
- online
- Isbn
- 9780387734682
- Lccn
- 2007939827
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-387-73468-2
- Other physical details
- illustrations.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-387-73467-5
- Specific material designation
- remote
- System control number
- (OCoLC)233971373
- Label
- The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro
- Bibliography note
- Includes bibliographical references (pages 363-382) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Front Matter; Series before the rise of the calculus; Geometrical quantities and series in Leibniz; The Bernoulli series and Leibniz's analogy; Newton's method of series; Jacob Bernoulli's treatise on series; The Taylor series; Quantities and their representations; The formal-quantitative theory of series; The first appearance of divergent series; De Moivre's recurrent series and Bernoulli's method; Acceleration of series and Stirling's series; Maclaurin's contribution; The young Euler between innovation and tradition; Euler's derivation of the Euler-Maclaurin summation formula
- Control code
- 233971373
- Dimensions
- unknown
- Extent
- 1 online resource (xv, 389 pages)
- Form of item
- online
- Isbn
- 9780387734682
- Lccn
- 2007939827
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-387-73468-2
- Other physical details
- illustrations.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-387-73467-5
- Specific material designation
- remote
- System control number
- (OCoLC)233971373
Subject
- History
- History
- MATHEMATICS -- Infinity
- Mathematics
- Mathematics
- Mathematics -- History -- 17th century
- Mathematics -- History -- 17th century
- Mathematics -- History -- 18th century
- Mathematics -- History -- 18th century
- Series
- Series
- Series -- History -- 17th century
- Series -- History -- 17th century
- Series -- History -- 18th century
- Series -- History -- 18th century
- 1600-1799
Genre
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/The-rise-and-development-of-the-theory-of-series/UwGAd3VxIpc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/The-rise-and-development-of-the-theory-of-series/UwGAd3VxIpc/">The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/The-rise-and-development-of-the-theory-of-series/UwGAd3VxIpc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/The-rise-and-development-of-the-theory-of-series/UwGAd3VxIpc/">The rise and development of the theory of series up to the early 1820s, Giovanni Ferraro</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
