1. Citations
  2. Auteurs
  3. George Ballard Mathews

George Ballard Mathews citations

George Ballard Mathews était mathématicien britannique.

✵ 23. février 1861 – 19. mars 1922
George Ballard Mathews photo
George Ballard Mathews: 6   citations 0   J'aime

George Ballard Mathews: Citations en anglais

“It may fairly be said that the germs of the modern algebra of linear substitutions and concomitants are to be found in the fifth section of the Disquisitiones Arithmeticae; and inversely, every advance in the algebraic theory of forms is an acquisition to the arithmetical theory.”

Help us translate this quote
George Ballard Mathews

Part 1, sect. 48.
Theory of Numbers, 1892

“A great deal of misunderstanding is avoided if it be remembered that the terms infinity, infinite, zero, infinitesimal must be interpreted in connexion with their context, and admit a variety of meanings according to the way in which they are defined.”

Help us translate this quote
George Ballard Mathews

Part 1, sect. 104.
Theory of Numbers, 1892

“That a formal science like algebra, the creation of our abstract thought, should thus, in a sense, dictate the laws of its own being, is very remarkable. It has required the experience of centuries for us to realize the full force of this appeal.”

Help us translate this quote
George Ballard Mathews

G.B. Mathews quoted in: F. Spencer. Chapters on Aims and Practice of Teaching, (London, 1899), p. 184. Reported in Moritz (1914).

“As Gauss first pointed out, the problem of cyclotomy, or division of the circle into a number of equal parts, depends in a very remarkable way upon arithmetical considerations. We have here the earliest and simplest example of those relations of the theory of numbers to transcendental analysis, and even to pure geometry, which so often unexpectedly present themselves, and which, at first sight, are so mysterious.”

Help us translate this quote
George Ballard Mathews

Part 1, sect. 167.
Theory of Numbers, 1892

“The invention of the symbol ≡ by Gauss affords a striking example of the advantage which may be derived from an appropriate notation, and marks an epoch in the development of the science of arithmetic.”

Help us translate this quote
George Ballard Mathews

Part 1, sect. 29.
Theory of Numbers, 1892

“Strictly speaking, the theory of numbers has nothing to do with negative, or fractional, or irrational quantities, as such. No theorem which cannot be expressed without reference to these notions is purely arithmetical: and no proof of an arithmetical theorem, can be considered finally satisfactory if it intrinsically depends upon extraneous analytical theories.”

Help us translate this quote
George Ballard Mathews

Part 1, sect. 1.
Theory of Numbers, 1892

Auteurs similaires

Bertrand Russell photo
Bertrand Russell 20
mathématicien, logicien, philosophe, épistémologue, homme p…
Terry Pratchett photo
Terry Pratchett 82
écrivain britannique
George Orwell photo
George Orwell 27
écrivain britannique
Richard Dawkins photo
Richard Dawkins 8
biologiste et éthologiste britannique
John Maynard Keynes photo
John Maynard Keynes 12
économiste britannique
Elias Canetti photo
Elias Canetti 8
écrivain britannique germanophone
Ludwig Wittgenstein photo
Ludwig Wittgenstein 28
philosophe et logicien autrichien, puis britannique
Aldous Huxley photo
Aldous Huxley 43
Romancier et essayiste britannique
Winston Churchill photo
Winston Churchill 23
homme d'État britannique
Audrey Hepburn photo
Audrey Hepburn 6
actrice britannique