“The first epoch-making algebra to appear in print was the Ars Magna of Cardan”

— David Eugene Smith

Source: History of Mathematics (1925) Vol.2, p.384
Context: The first epoch-making algebra to appear in print was the Ars Magna of Cardan (1545). This was devoted primarily to the solution of algebraic equations. It contained the solution of the cubic and biquadratic equations, made use of complex numbers, and in general may be said to have been the first step toward modern algebra.

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "The first epoch-making algebra to appear in print was the Ars Magna of Cardan" by David Eugene Smith?

David Eugene Smith 33

American mathematician 1860–1944

Related quotes

“Algebra in the Renaissance period received its first serious consideration in Pacioli's Sūma (1494)… which characterized in a careless way the knowledge… thus far accumulated. By the aid of the crude symbolism then in use it gave a considerable amount of work in equations.
The noteworthy work… and the first to be devoted entirely to the subject, was Rudolff's Coss (1525). This work made no decided advance in the theory, but it improved the symbolism for radicals and made the science better known in Germany. Stiffel's edition of this work (1553-1554) gave the subject still more prominence.
The first epoch-making algebra to appear in print was the Ars Magna of Cardan (1545). The next great work… to appear in print was the General Trattato of Tartaglia…”

David Eugene Smith (1860–1944) American mathematician

Source: History of Mathematics (1925) Vol.2, p. 384; Ch. 6: Algebra

“The problem of the biquadratic equation was laid prominently before Italian mathematicians by Zuanne de Tonini da Coi, who in 1540 proposed the problem, "Divide 10 parts into three parts such that they shall be continued in proportion and that the product of the first two shall be 6." He gave this to Cardan with the statement that it could not be solved, but Cardan denied the assertion, although himself unable to solve it. He gave it to Ferrari, his pupil, and the latter, although then a mere youth, succeeded where the master had failed. …This method soon became known to algebraists through Cardan's Ars Magna, and in 1567 we find it used by Nicolas Petri”

David Eugene Smith (1860–1944) American mathematician

of Deventer
Source: History of Mathematics (1925) Vol.2, pp.467-468

“Seldom can two such epoch-making events have occurred in successive years as happened then. In 1453 the Turks stormed Constantinople and finally destroyed the Greek Empire, driving out Greek scholars, who carried the knowledge of Greek language and literature to the western world; and in 1454 the first document known to us appeared from the printing press at Mainz.”

Frederic G. Kenyon (1863–1952) British palaeographer and biblical and classical scholar

Source: The Story Of The Bible, Chapter IV, From manuscript To Print, p. 41-42

“Some definite interpretation of a linear algebra would, at first sight, appear indispensable to its successful application.”

Benjamin Peirce (1809–1880) American mathematician

On the Uses and Transformations of Linear Algebra (1875)
Context: Some definite interpretation of a linear algebra would, at first sight, appear indispensable to its successful application. But on the contrary, it is a singular fact, and one quite consonant with the principles of sound logic, that its first and general use is mostly to be expected from its want of significance. The interpretation is a trammel to the use. Symbols are essential to comprehensive argument.

“It was an epoch in my life, it is an epoch in every child's life, the first reading of Robinson Crusoe.”

Letitia Elizabeth Landon (1802–1838) English poet and novelist

Traits and Trials of Early Life (1836)

“The famous sixteenth-century algebraist Jerome Cardan called negative roots fictitious, and the founder of modern symbolic algebra, François Viète, discarded negative roots entirely. Descartes, called them false on the ground that they represented numbers less than nothing and so were meaningless.”

Morris Kline (1908–1992) American mathematician

Source: Mathematics and the Physical World (1959), p. 52.

“Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.”

Omar Khayyám (1048–1131) Persian poet, philosopher, mathematician, and astronomer

As quoted in "A Paper of Omar Khayyam" by A.R. Amir-Moez in Scripta Mathematica 26 (1963). This quotation has often been abridged in various ways, usually ending with "Algebras are geometric facts which are proved", thus altering the context significantly.