"Gauss' researches on the theory of numbers were the starting-point for a school of writers, among the earliest of whom was Jacobi. The latter contributed to Crelle's Journal an article on cubic residues, giving theorems without proofs. After the publication of Gauss' paper on biquadratic residues, giving the law of biquadratic reciprocity, and his treatment of complex numbers, Jacobi found a similar law for cubic residues. By the theory of elliptical functions, he was led to beautiful theorems on the representation of numbers by 2, 4, 6, and 8 squares."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Florian Cajori, A History of Mathematics (1893)
https://en.wikiquote.org/wiki/Carl_Gustav_Jacob_Jacobi
Revision History
No revisions have been submitted for this quote.
Categories
Carl Gustav Jacob Jacobi
1804 – 1851
20 quotes on TrueQuotesView all quotes by Carl Gustav Jacob Jacobi →
Related Quotes
"The best approach to Jacobi is perhaps through his beautiful lectures on dynamics ("Vorlesungen über Dynamik"), publi…"
"The most important of Legendre's works is his Functions elliptiques, issued in two volumes in 1825 and 1826. He took …"
"It is true that M. Fourier had the opinion that the principal end of mathematics was the public utility and the expla…"
"Any progress in the theory of partial differential equations must also bring about a progress in Mechanics."
"Wherever Mathematics is mixed up with anything, which is outside its field, you will find attempts to demonstrate the…"
"History knew a midnight, which we may estimate at about the year 1000 A.D., when the human race lost the arts and sci…"
"His [Lagrange's] lectures on differential calculus form the basis of his Theorie des fonctions analytiques which was …"
"Jacobi's most celebrated investigations are those on elliptic functions, the modern notation in which is substantiall…"
"I ought also to mention his papers on Abelian transcendants; his investigations on the theory of numbers... his impor…"
"The theory of determinants was studied by Hoëné Wronski in Italy and J. Binet in France; but they were forestalled by…"