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Afterword

from The Eighteenth Century

Marlow Anderson
Affiliation:
Colorado College
Victor Katz
Affiliation:
University of the District of Columbia
Robin Wilson
Affiliation:
Open University
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Summary

For more information on Maclaurin, the reader can consult H. W. Turnbull, Bicentenary of the Death of Colin Maclaurin [10], which contains numerous articles about aspects of his work.

Florian Cajori expanded his arguments in the article in this section into a book, A History of the Conceptions of Limits and Fluxions in Great Britain from Newton to Woodhouse [3]. A more recent treatment of much of the same material is Niccolò Guicciardini's The Development of Newtonian Calculus in Britain, 1700–1800 [8], and a good survey article on calculus in the first half of the eighteenth century is by H. J. M. Bos [1].

But the eighteenth century is the century of Euler. So to learn more about the mathematics of that century, it is essential to study the works of the Swiss genius. One good way to begin is with William Dunham's marvelous little book: Euler: The Master of Us All [4], which gives details of a number of Euler's mathematical gems. One can also read Euler's Introduction to Analysis of the Infinite [6], in an English translation by John Blanton. Although there is not yet a full-scale scientific biography of Euler, one good sketch of a biography is by Clifford Truesdell in the English translation of Euler's Elements of Algebra [9].

There are also histories of specific topics considered by Euler. For example, the history of analysis is well treated in Umberto Bottazzini, The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass [2] and Ivor Grattan-Guinness, The Development of the Foundations of Mathematical Analysis from Euler to Riemann [7].

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Sherlock Holmes in Babylon
And Other Tales of Mathematical History
, pp. 383 - 384
Publisher: Mathematical Association of America
Print publication year: 2003

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  • Afterword
  • Edited by Marlow Anderson, Colorado College, Victor Katz, University of the District of Columbia, Robin Wilson, Open University
  • Book: Sherlock Holmes in Babylon
  • Online publication: 05 January 2012
  • Chapter DOI: https://doi.org/10.5948/UPO9781614445036.053
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  • Afterword
  • Edited by Marlow Anderson, Colorado College, Victor Katz, University of the District of Columbia, Robin Wilson, Open University
  • Book: Sherlock Holmes in Babylon
  • Online publication: 05 January 2012
  • Chapter DOI: https://doi.org/10.5948/UPO9781614445036.053
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Afterword
  • Edited by Marlow Anderson, Colorado College, Victor Katz, University of the District of Columbia, Robin Wilson, Open University
  • Book: Sherlock Holmes in Babylon
  • Online publication: 05 January 2012
  • Chapter DOI: https://doi.org/10.5948/UPO9781614445036.053
Available formats
×