Edouard Lucas. Théorie des Nombres. Help with his unpublished Second Volume

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SUMMARY

Edouard Lucas's "Théorie des Nombres Volume I" was published in 1891, but the anticipated Second Volume was never released due to his accidental death in the same year. Forum participants are seeking resources and references related to this unpublished Second Volume. Digital copies of the first volume and other works by Lucas are available online, but no trace of the Second Volume has been found. A 1930 dissertation by D. H. Lehmer may provide leads on Lucas's unpublished writings.

PREREQUISITES
  • Familiarity with Edouard Lucas's contributions to number theory
  • Understanding of historical mathematical publications
  • Knowledge of academic research methods for locating unpublished works
  • Basic skills in navigating digital libraries and archives
NEXT STEPS
  • Research the 1930 dissertation by D. H. Lehmer for insights on Lucas's unpublished work
  • Explore digital libraries such as WorldCat for potential leads on Lucas's Second Volume
  • Investigate other historical mathematical texts that reference Edouard Lucas
  • Utilize academic databases to search for citations of Lucas's unpublished manuscripts
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Mathematicians, historians of mathematics, and researchers interested in Edouard Lucas's work and the history of number theory will benefit from this discussion.

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I have Edouard Lucas's book entitled: Théorie des Nombres Volume I(1891),
and I know that a Second Volume was in preparation, but was not published
due to his accidental death in the same year the first volume was printed.

Does anyone here know how to find any papers, links, or references related
to his work on such Second Volume?


Many thanks for any help on this matter,
djesusg@gmail.com
Domingo Gomez Morin
http://mipagina.cantv.net/arithmetic/rmdef.htm
 
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I took a quick look online and found digital copies of the Tome Premiere you've already got and a bunch of other works by him but no trace of the Tome Deuxieme:

http://www.math.utah.edu/~beebe/software/java/fibonacci/lucas_book_leonard_de_pise.pdf" (1877)
http://books.google.com/books?id=_hsPAAAAIAAJ&printsec=toc#PPR3,M1", Tome Premiere (1891)
http://books.google.com/books?id=Ea8AAAAAMAAJ&printsec=toc#PPP9,M1" (1894)
http://books.google.com/books?id=OBgPAAAAIAAJ&printsec=titlepage" (1895)

But I was just looking in the public internet, I don't have access to any academic resources.

I did come across mention of this 1930 dissertation on his work, though, perhaps it would have some leads:

http://www.worldcat.org/oclc/13472380/editions?editionsView=true&referer=di", D. H. Lehmer
 
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CaptainQuasar said:
I took a quick look online and found digital copies of the Tome Premiere you've already got and a bunch of other works by him but no trace of the Tome Deuxieme:

http://www.math.utah.edu/~beebe/software/java/fibonacci/lucas_book_leonard_de_pise.pdf" (1877)
http://books.google.com/books?id=_hsPAAAAIAAJ&printsec=toc#PPR3,M1", Tome Premiere (1891)
http://books.google.com/books?id=Ea8AAAAAMAAJ&printsec=toc#PPP9,M1" (1894)
http://books.google.com/books?id=OBgPAAAAIAAJ&printsec=titlepage" (1895)

But I was just looking in the public internet, I don't have access to any academic resources.

I did come across mention of this 1930 dissertation on his work, though, perhaps it would have some leads:

http://www.worldcat.org/oclc/13472380/editions?editionsView=true&referer=di", D. H. Lehmer



Many thanks for your help. I know about all those publications.
As a matter of fact, a Second Volume of his Theory of Numbers was in preparation, unfourtunately Edouard Lucas had a bizarre fatal accident and could not publish it.
In the first volume, he promised to make further extensions on some topics, and I eagerly need to find his writings for such second volume.

Many thanks again, for your help.

Domingo Gomez Morin
djesusg@gmail.com
 
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