Girish Mahajan (Editor)

Introductio in analysin infinitorum

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Originally published
  
1748

Author
  
Leonhard Euler

Introductio in analysin infinitorum t0gstaticcomimagesqtbnANd9GcTMNErPsF2gfHCsRx

Similar
  
Works by Leonhard Euler, History of mathematics books, Mathematics books

Introductio in analysin infinitorum (Introduction to the Analysis of the Infinite) is a two-volume work by Leonhard Euler which lays the foundations of mathematical analysis. Written in Latin and published in 1748, the Introductio contains 18 chapters in the first part and 22 chapters in the second.

Contents

Carl Boyer's lectures at the 1950 International Congress of Mathematicians compared the influence of Euler's Introductio to that of Euclid's Elements, calling the Elements the foremost textbook of ancient times, and the Introductio "the foremost textbook of modern times". Boyer also wrote:

The analysis of Euler comes close to the modern orthodox discipline, the study of functions by means of infinite processes, especially through infinite series. It is doubtful that any other essentially didactic work includes as large a portion of original material that survives in the college courses today...Can be read with comparative ease by the modern student...The prototype of modern textbooks.

The first translation into English was that by John D. Blanton, published in 1988. The second, by Ian bruce, is available online. A list of the editions of Introductio has been assembled by V. Frederick Rickey.

Early mentions

  • J.C. Scriba (2007) review of 1983 reprint of 1885 German editionMR715928
  • Reviews of Blanton translation 1988

  • Doru Stefanescu MR1025504
  • Marco Panza (2007) MR2384380
  • Ricardo Quintero Zazueta (1999) MR1823258
  • E. Hairer & G. Wanner (1996) Analysis by its History, chapter 1, pp 1 to 79, Undergraduate Texts in Mathematics #70, ISBN 978-0-387-77036-9 MR1410751
  • References

    Introductio in analysin infinitorum Wikipedia