# The correspondence between Sophie Germain and Carl Friedrich Gauss

@article{DelCentina2012TheCB, title={The correspondence between Sophie Germain and Carl Friedrich Gauss}, author={Andrea Del Centina and Alessandra Fiocca}, journal={Archive for History of Exact Sciences}, year={2012}, volume={66}, pages={585-700} }

This paper publishes the correspondence between S. Germain and C.F. Gauss. The mathematical notes enclosed in her letters are published for the first time. These notes, in which she submitted some of her results, proofs and conjectures to Gauss for his evaluation, were inspired by her study of the Disquisitiones Arithmeticae. The interpretation of these mathematical notes not only shows how deeply she went into Gauss’s treatise and mastered it long before any other mathematician, but also, more…

## 5 Citations

### Gauss’s Disquisitiones Arithmeticae

- Physics
- 2018

Carl Friedrich Gauss established himself as a mathematician at the age of 24 with the publication of his Disquisitiones Arithmeticae, which eclipsed all previous presentations of number theory and…

### Arithmetic and Memorial Practices by and Around Sophie Germain in the 19th Century

- Philosophy
- 2020

Sophie Germain (1776–1831) is an emblematic example of a woman who produced mathematics in the first third of the nineteenth century. Self-taught, she was recognised for her work in the theory of…

### Algebraic Number Theory: Cyclotomy

- Mathematics
- 2018

In this chapter, we return to one of Gauss’s favourite themes, cyclotomic integers, and look at how they were used by Kummer, one of the leaders of the next generation of German number theorists.…

### On the Correspondence of Sophie Germain

- Philosophy
- 2018

The aim of this paper is to give a thorough account of the presently known correspondence of Sophie Germain, as well as the history of its discovery and editing. In particular, we will focus on the…

## References

SHOWING 1-10 OF 44 REFERENCES

### Unpublished manuscripts of Sophie Germain and a revaluation of her work on Fermat's Last Theorem

- Physics
- 2008

Published here, and discussed, are some manuscripts and a letter of Sophie Germain concerning her work on Fermat’s Last theorem. These autographs, held at Bibliotheque Nationale of Paris, at the…

### Sophie Germain: or Was Gauss a feminist?

- ArtThe Mathematical Gazette
- 1990

This article is focussed on a letter that perhaps the greatest mathematician ever, Carl Frederich Gauss, sent to a female mathematician, Sophie Germain. The letter is interesting because it is the…

### Fermat's last theorem for amateurs

- Mathematics
- 1999

The Problem.- Special Cases.- 4 Interludes.- Algebraic Restrictions on Hypothetical Solutions.- Germain's Theorem.- Interludes 5 and 6.- Arithmetic Restrictions on Hypothetical Solutions and on the…

### The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae

- Mathematics
- 2007

I. A Book's History. - C. Goldstein, N. Schappacher. II. Algebraic Equations, Quadratic Forms, Higher Congruences: Key Mathematical Techniques of the Disquistiones. - O. Neumann: The Disquisitiones…

### The origins of the cubic and biquadratic reciprocity laws

- Mathematics
- 1977

Every student of number theory is familiar with the use of the quadratic reciprocity law in deciding whether quadratic congruences have integral solutions. However, very few mathematicians are aware…

### Sophie Germain: An Essay in the History of the Theory of Elasticity

- Medicine
- 1980

This dissertation aims to explore the role of language in the development of knowledge and the role that language plays in the acquisition of knowledge.

### Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory

- Mathematics
- 1996

Fermat Euler from Euler to Kummer Kummer's theort of ideal factors Fermat's last theorem for regular primes determination of the class number divisor theory for quadratic integers Gauss's theory of…

### Lois de réciprocité.

- Mathematics
- 1844

* \ilp unnombre premier reel 4n-f l, soient pL, p2 les deux nombres pPemiers complexes de la forme a-\i qui, ayant/ι pour norme commune, sont tels que 49!=;^ = i (mod. 2) et pip2 = p. Soit de plus r…