„My specific… object has been to contain, within the prescribed limits, the whole of the student's course, from the confines of elementary algebra and trigonometry, to the entrance of the highest works on mathematical physics. A learner who has a good knowledge of the subjects just named, and who can master the present treatise, taking up elementary works on conic sections, application of algebra to geometry, and the theory of equations, as he wants them, will, I am perfectly sure, find himself able to conquer the difficulties of anything he may meet with; and need not close any book of Laplace, Lagrange, Legendre, Poisson, Fourier, Cauchy, Gauss, Abel, Hindenburgh and his followers. or of any one of our English mathematicians, under the idea that it is too hard for him.“

Preface, p. iii
The Differential and Integral Calculus (1836)

Obtenido de Wikiquote. Última actualización 3 de Junio de 2021. Historia
Augustus De Morgan Foto
Augustus De Morgan8
1806 - 1871

Citas similares

E. W. Hobson Foto
Augustus De Morgan Foto
Thomas Little Heath Foto
George Peacock Foto
Niels Henrik Abel Foto
Augustus De Morgan Foto
Augustus De Morgan Foto
George Boole Foto
James Whitbread Lee Glaisher Foto
John Stuart Mill Foto

„[T]he application of algebra to geometry… far more than any of his metaphysical speculations, has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences.“

—  John Stuart Mill British philosopher and political economist 1806 - 1873

An Examination of Sir William Hamilton's Philosophy (1865) as quoted in 5th ed. (1878) p. 617. https://books.google.com/books?id=ojQNAQAAMAAJ&pg=PA617

W. W. Rouse Ball Foto
David Eugene Smith Foto
David Eugene Smith Foto
Eric Temple Bell Foto

„Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust on him should try to get on without it for a week.“

—  Eric Temple Bell mathematician and science fiction author born in Scotland who lived in the United States for most of his life 1883 - 1960

Fuente: Mathematics: Queen and Servant of Science (1938), p. 226
Contexto: Some of his deepest discoveries were reasoned out verbally with very few if any symbols, and those for the most part mere abbreviations of words. Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust on him should try to get on without it for a week.

Hans Reichenbach Foto
James Whitbread Lee Glaisher Foto

„Quite distinct from the theoretical question of the manner in which mathematics will rescue itself from the perils to which it is exposed by its own prolific nature is the practical problem of finding means of rendering available for the student the results which have been already accumulated, and making it possible for the learner to obtain some idea of the present state of the various departments of mathematics…. The great mass of mathematical literature will be always contained in Journals and Transactions, but there is no reason why it should not be rendered far more useful and accessible than at present by means of treatises or higher text-books. The whole science suffers from want of avenues of approach, and many beautiful branches of mathematics are regarded as difficult and technical merely because they are not easily accessible…. I feel very strongly that any introduction to a new subject written by a competent person confers a real benefit on the whole science. The number of excellent text-books of an elementary kind that are published in this country makes it all the more to be regretted that we have so few that are intended for the advanced student. As an example of the higher kind of text-book, the want of which is so badly felt in many subjects, I may mention the second part of Prof. Chrystal’s “Algebra” published last year, which in a small compass gives a great mass of valuable and fundamental knowledge that has hitherto been beyond the reach of an ordinary student, though in reality lying so close at hand. I may add that in any treatise or higher text-book it is always desirable that references to the original memoirs should be given, and, if possible, short historic notices also. I am sure that no subject loses more than mathematics by any attempt to dissociate it from its history.“

—  James Whitbread Lee Glaisher English mathematician and astronomer 1848 - 1928

Fuente: "Presidential Address British Association for the Advancement of Science," 1890, p. 466 : On the need of text-books on higher mathematics

Augustus De Morgan Foto
René Descartes Foto
Theodore Kaczynski Foto

Temas relacionados