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Lectures on Ten British Mathematicians of the Nineteenth Century

Lectures on Ten British Mathematicians of the Nineteenth Century


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 edition. Excerpt: ...Euclidean space which has been so long regarded as being the physical space of our experience." In his address he remarks that the fundamental notion which underlies and pervades the whole of modern analysis and geometry is that of imaginary magnitude in analysis and of imaginary space (or space as a locus in quo of imaginary points and figures) in geometry. In the case of two given curves there are two equations satisfied by the coordinates (x, y) of the several points of intersection, and these give rise to an equation of a certain order for the coordinate x or y of a point of intersection. In the case of a straight line and a circle this is a quadratic equation; it has two roots real or imaginary. There are thus two values, say of x, and to each of these corresponds a single value of y. There are therefore two points of intersection, viz., a straight line and a circle intersect always in two points, real or imaginary. It is in this way we are led analytically to the notion of imaginary points in geometry. He asks, What is an imaginary point? Is there in a plane a point the coordinates of which have given imaginary values? He seems to say No, and to fall back on the notion of an imaginary space as the locus in quo of the imaginary point. WILLIAM KINGDON CLIFFORD (1845-1879) William Kingdon Clifford was born at Exeter, England, May 4, 1845. His father was a well-known and active citizen and filled the honorary office of justice of the peace; his mother died while he was still young. It is believed that Clifford inherited from his mother not only some of his genius, but a weakness in his physical constitution. He received his elementary education at a private school in Exeter, where examinations were annually held by the Board of Local...


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Product Details
  • ISBN-13: 9781458830609
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 48
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1458830608
  • Publisher Date: 01 Jul 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 104 gr


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