Of a Liberal Education in General; and with Especial Reference to the University of Cambridge ...J.W. Parker, 1850 |
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Side xii
... Analytical Mathematics as an Educational Study 38 Art . 40 Meaning of Analysis . 41 Merits of Analysis . 42 Analysis compared with Geometry . 43 Is not an exercise of the Reason . 44 Does not exemplify the usual kind of reasoning . 45 ...
... Analytical Mathematics as an Educational Study 38 Art . 40 Meaning of Analysis . 41 Merits of Analysis . 42 Analysis compared with Geometry . 43 Is not an exercise of the Reason . 44 Does not exemplify the usual kind of reasoning . 45 ...
Side 38
... Analytical Mathematics as an Educa- tional Study . 40 The question of the kind of Mathematics which is to be used in the course of Education , has not been exempt from difference of opinion in modern times . According to what we have ...
... Analytical Mathematics as an Educa- tional Study . 40 The question of the kind of Mathematics which is to be used in the course of Education , has not been exempt from difference of opinion in modern times . According to what we have ...
Side 39
... Analytical . I will adopt this phraseology , though , as I have said , it is not very exact , while I make a few remarks on the use of Analytical Mathematics as an instrument of Education * . I have already spoken on this subject , in ...
... Analytical . I will adopt this phraseology , though , as I have said , it is not very exact , while I make a few remarks on the use of Analytical Mathematics as an instrument of Education * . I have already spoken on this subject , in ...
Side 40
... analytical forms of mathematics are such as these ; -their supplying easier solutions of the problems with which the mathematician has to deal ; - the symmetry and generality of their processes ; -— and their having , in consequence of ...
... analytical forms of mathematics are such as these ; -their supplying easier solutions of the problems with which the mathematician has to deal ; - the symmetry and generality of their processes ; -— and their having , in consequence of ...
Side 41
... Analytical Methods , on the other hand , we reason by means of symbols , by which sym- bols , quantities , and the relations of quantity , are represented ; and by means of the general rules of combining and operating upon such symbols ...
... Analytical Methods , on the other hand , we reason by means of symbols , by which sym- bols , quantities , and the relations of quantity , are represented ; and by means of the general rules of combining and operating upon such symbols ...
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Vanlige uttrykk og setninger
acquaintance acquired Algebra already amination analytical ancient appear Aristotle Arithmetic Astronomy attention Cambridge candidates cation Civil Law Classes Classical Authors Classical Honours Classical Studies Classical Tripos College Lectures conceive Conic Sections course degree Differential Calculus Dr Wood's Educa Educational Studies effect Elementary English established Euclid exercise Geometry given Grace Greek and Latin History intellectual Junior Optimes knowledge labour language Latin language Liberal Education literature Lyell mathe mathematical education Mathematical Honours Mathematical Studies mathematicians matical matter means Mechanics methods mind mode modern Moral Sciences Tripos nation Natural Sciences Tripos Newton's oral Permanent Studies persons Philosophy Polloi portions of Mathematics present Principia Private Tutors Professor Progressive Mathematical progressive sciences proof proposed propositions pupils questions racter reasoning regard remarks require scheme scholars Schools standard subjects Syndicate teaching thematics thought tical tion translations treated Treatises Trigonometry truth University of Cambridge versity vivá writing
Populære avsnitt
Side 89 - Telescopes. The elementary parts of Astronomy ; so far as they are necessary for the explanation of the more simple phenomena, without calculation.
Side 171 - Opponentium, primus, secundus, or tertius, denoting the order in which the three opponents are to appear. One of these papers is sent to each opponent. When one Moderator has thus given out the exercises for a week, or five acts, (exercises being held for five days in a week during term,) the other proceeds according to the same method for the following week.
Side 31 - I have on a former occasion said*, the student is rendered familiar with the most perfect examples of strict inference ; he is compelled habitually to fix his attention on those conditions on which the cogency of the demonstration depends ; and in the mistakes and imperfect attempts at demonstration made by himself and others, he is presented with examples of the more natural fallacies, which he sees exposed and corrected.
Side 96 - Studies ; whose duty it shall be to consult together from time to time on all matters relating to the actual state of Mathematical Studies and Examinations in the University ; and to prepare annually and lay before the Vicechancellor a Report, to be by him published to the University in the Lent or Easter Term of each year.
Side 129 - Accordingly, on the first day (Friday), the questions from books extended to such parts of pure Mathematics and Natural Philosophy as do not require the Differential Calculus, and on the Saturday were added parts of Natural Philosophy somewhat more advanced, and the simpler applications of the Calculus. On Monday, the first and second classes were examined together, and the third and fourth together, in questions from books and in Problems ; and on Tuesday, the second and third were examined together,...
Side 92 - That all students, who, being candidates for the degree of BA, or for the honorary degree of MA, are not candidates for honors, shall, in addition to what is now required of them, have attended before they be admitted to examination for their respective degrees, the lectures delivered during one term at least, by one or more of...
Side 56 - ... logarithms. The elementary parts of Plane Trigonometry, so far as to include the solution and properties of triangles. The elementary parts of Conic Sections, treated geometrically, but not excluding the method of orthogonal projections ; curvature.
Side 43 - Board. 4. It shall be the duty of the said Board to consult together from time to time on all matters relating to the state of the Previous, General...
Side 116 - University," beg leave to commence their Report with a brief account of the present state of instruction in that department of study. IN the Previous Examination and in the Ordinary Examination for the BA degree, the University requires an acquaintance with one of the Gospels and the Acts of the Apostles in the original Greek, with Paley's Evidences and Paley's Moral Philosophy. The other encouragements and aids to Theological studies offered at present by the University (in addition to what is done...
Side 94 - Downing Professor of Medicine, Professor of Mineralogy, Professor of Political Economy; and shall have obtained a certificate of having passed an examination satisfactory to one of the professors whose lectures they have chosen to attend.