Analysis Quote by James Joseph Sylvester
“Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble and vain attempts of geometry proper to rise to its level or to emulate it in its flights.”
![“It can be argued that the mathematics behind these images [of the orbit diagram for quadratic functions and the Mandelbrot set] is even prettier than the pictures themselves.” quote by Robert L. Devaney](https://sms4smile.com/quotes/img-quotes/b89/robert-l-devaney-78664_aesthetic_it-can-be-argued-that-the-mathematics-be_1438347.jpg)
![“There's a lot of science in it, and as Slartibartfast [in The Hitchhiker's Guide to the Galaxy] said: 'I am a great fan of science, but I cannot do a quadratic equation.' I've never, ever been able to do one. I remember one occasion at Warwick University, when Jack and Ian were at their wits' end…” quote by Terry Pratchett](https://sms4smile.com/quotes/img-quotes/a00/terry-pratchett-19_equations_there-s-a-lot-of-science-in-it-and-as-sl_800026.jpg)
![“Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels no interest at all in the physical world; but, in so far as he succumbs to this temptation, he will be abandoning his purely mathematical position.” quote by G.H. Hardy](https://sms4smile.com/quotes/img-quotes/84c/g-h-hardy-2-30074_applications_even-a-pure-mathematician-may-find-his-a_1015722.jpg)
![“...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to raise them, by successive steps of initiation, to higher and higher states of conscious intellectual being…” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/bc5/james-joseph-sylvester-23602_action_there-is-no-study-in-the-world-which-bri_23809.jpg)
![“The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of its parts, the infinite hierarchy and absolute evidence of the truths with which it is concerned, these, and such like, are the surest…” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/e72/james-joseph-sylvester-23602_absolutes_the-world-of-ideas-which-it-mathematics_338576.jpg)
![“[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention.” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/301/james-joseph-sylvester-23602_boundless_mathematics-unceasingly-calls-forth-the_447035.jpg)
![“The object of pure Physic[s] is the unfolding of the laws of the intelligible world; the object of pure Mathematic[s] that of unfolding the laws of human intelligence.” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/36a/james-joseph-sylvester-23602_human-intelligence_the-object-of-pure-physic-s-is-the-unfol_679113.jpg)
