Analytical geometry of three dimensions

著者

    • Sommerville, D. M. Y.

書誌事項

Analytical geometry of three dimensions

by D.M.Y. Sommerville

Cambridge University Press, 2015

  • : pbk

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注記

"First edition 1934, reprinted 1939, 1943, 1947, 1951, 1959, first paperback edition 2015""--T.p. verso

Reprint. Originally published: Cambridge : At the University Press, 1959

Includes index

"Paperback reissue"--Back cover

内容説明・目次

内容説明

Originally published in 1934, this informative textbook was written by renowned mathematician and astronomer Duncan Sommerville (1879-1934). Primarily aimed at undergraduates, the book carefully starts from the very beginning of the subject, but also engages with concepts which are considered profoundly more specialist in the field of geometry. Following on from a renewed and flourishing interest in geometry at the time, this textbook was 'written more in accordance with the tendencies of the present', placing a different emphasis on the subject's cornerstone principles and illuminating new developments in the field. Chapters are detailed and contain material often required for examinations; topics covered include the Cartesian coordinate system and tangential equations. Well planned, with a scholarly treatment of the subject and capturing a unified knowledge of geometry, this book will be a considerably valuable source to scholars of mathematics as well as to anyone with an interest in the history of education.

目次

  • Preface
  • 1. Cartesian coordinate-system
  • 2. The straight line and plane
  • 3. General homogeneous or projective coordinates
  • 4. The sphere
  • 5. The cone and cylinder
  • 6. Types of surfaces of the second order
  • 7. Elementary properties of quadric surfaces derived from their simplest equations
  • 8. The reduction of the general equation of the second degree
  • 9. Generating lines and parametric representation
  • 10. Plane sections of a quadric
  • 11. Tangential equations
  • 12. Foci and focal properties
  • 13. Linear systems of quadrics
  • 14. Curves and developables
  • 15. Invariants of a pair of quadrics
  • 16. Line geometry
  • 17. Algebraic surfaces
  • Index.

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詳細情報

  • NII書誌ID(NCID)
    BB21152573
  • ISBN
    • 9781316601907
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    xvi, 416 p.
  • 大きさ
    21 cm
  • 分類
  • 件名
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