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 Help with his unpublished Second Volume

  • Thread starter arithmetic
  • Start date
  • Tags
    Volume
In summary, In 1877, Edouard Lucas published Tome Premiere, a book on number theory, which was followed by Tome Deuxieme in 1894 but was not published due to his accidental death. A 1930 dissertation on his work mentions that a Second Volume was in preparation, but is missing.
  • #1
arithmetic
32
0
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
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
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
 
Last edited by a moderator:
  • #3
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
 
Last edited by a moderator:

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 Help with his unpublished Second Volume

What is the significance of Edouard Lucas's work in number theory?

Edouard Lucas was a French mathematician who made significant contributions to the field of number theory. His work in number theory laid the foundation for modern algebraic number theory and paved the way for the development of various algorithms and techniques used in cryptography and coding theory.

What is the "Théorie des Nombres" and what was Lucas's contribution to it?

The "Théorie des Nombres" (Theory of Numbers) is a branch of mathematics that deals with the properties of integers and their relationships with other numbers. Edouard Lucas's contribution to this field includes the development of the Lucas-Lehmer test for determining prime numbers, the Lucas sequence, and the Lucas pseudoprimes.

Why is the second volume of Edouard Lucas's work on "Théorie des Nombres" unpublished?

The second volume of Edouard Lucas's "Théorie des Nombres" was never published due to financial difficulties and personal setbacks. Lucas's publisher went bankrupt, and he was unable to find another publisher. He also suffered from health problems and passed away before being able to complete and publish the second volume.

Can the unpublished second volume of Edouard Lucas's work be found anywhere?

No, the second volume of Edouard Lucas's "Théorie des Nombres" has never been published. However, some of his notes and manuscripts have been preserved and can be found in various archives and libraries. Some researchers and mathematicians have also studied and referenced his unpublished work in their own publications.

How can Edouard Lucas's unpublished second volume be helpful in furthering our understanding of number theory?

While the second volume of Edouard Lucas's work remains unpublished, it still holds valuable insights and ideas that can contribute to the advancement of number theory. His notes and manuscripts have been studied and referenced by other mathematicians, and they continue to inspire new research and developments in the field. Furthermore, studying his unpublished work can provide a deeper understanding of Lucas's thought process and approach to solving problems in number theory.

Similar threads

Replies
7
Views
3K
Replies
9
Views
3K
Back
Top