Opis: A Course of Plane Geometry for Advanced Students, Vol. 2 (Classic Reprint) - Durell Clement Vavasor

Excerpt from A Course of Plane Geometry for Advanced Students, Vol. 2

The first part of this treatise, published a year ago, dealt with the geometry of the straight line and circle; the present volume contains a moderately comprehensive treatment of the geometry of the conic.

The author holds very strongly that the educational value of higher geometry lies in that novelty of idea and generality of conception which is more characteristic of this subject than of any other branch of elementary mathematics, A course of geometrical conics, based on the focus-directrix definition and developed by Euclidean methods, provides excellent practice in rider-work; but although the student may gain from it a systematic knowledge of the metrical properties of the conic, yet he will assimilate few, if any, really new ideas. On the other hand a projective treatment introduces the student to a region of geometrical thought, unlike anything he has seen in the past - a transidon as abrupt and fertile as the crossing from algebra to the calculus. There are constant surprises, apparent contradictions, features of absorbing interest, and principles which, by the generality of their application and the variety of their expression, cannot fail to fascinate the reader and incite him to investigate their developments for himself. Experience proves inconteslably that analytical methods frequently elucidate difficult geometrical conceptions. The theory of ideal elements in pure geometry, the notion of one-to-one correspondence and its application to homography and involution, the principles of conical projection are undoubtedly illuminated by a joint use of geometry and analysis.

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Szczegóły: A Course of Plane Geometry for Advanced Students, Vol. 2 (Classic Reprint) - Durell Clement Vavasor

Nazwa: A Course of Plane Geometry for Advanced Students, Vol. 2 (Classic Reprint)
Autor: Durell Clement Vavasor
Wydawnictwo: FB &c Ltd
Kod paskowy: 9781330115084
Języki: angielski
Ilość stron: 380
Format: 15.2x22.9cm
Oprawa: Miękka

Recenzje: A Course of Plane Geometry for Advanced Students, Vol. 2 (Classic Reprint) - Durell Clement Vavasor