The VNR concise encyclopedia of mathematics
著者
書誌事項
The VNR concise encyclopedia of mathematics
Van Nostrand Reinhold Co., 1977, c1975
1st American ed
- pbk
- 統一タイトル
-
Mathematik
大学図書館所蔵 全31件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Translation of: Mathematik
Previously published under title: Mathematics at a glance
Includes indexes
内容説明・目次
内容説明
It is commonplace that in our time science and technology cannot be mastered without the tools of mathematics; but the same applies to an ever growing extent to many domains of everyday life, not least owing to the spread of cybernetic methods and arguments. As a consequence, there is a wide demand for a survey of the results of mathematics, for an unconventional approach that would also make it possible to fill gaps in one's knowledge. We do not think that a mere juxtaposition of theorems or a collection of formulae would be suitable for this purpose, because this would over- emphasize the symbolic language of signs and letters rather than the mathematical idea, the only thing that really matters. Our task was to describe mathematical interrelations as briefly and precisely as possible. In view of the overwhelming amount of material it goes without saying that we did not just compile details from the numerous text-books for individual branches: what we were aiming at is to smooth out the access to the specialist literature for as many readers as possible. Since well over 700000 copies of the German edition of this book have been sold, we hope to have achieved our difficult goal.
Colours are used extensively to help the reader. Important definitions and groups of formulae are on a yellow background, examples on blue, and theorems on red.
目次
I. Elementary mathematics.- 1. Fundamental operations on rational numbers.- 2. Higher arithmetical operations.- 3. Development of the number system.- 4. Algebraic equations.- 5. Functions.- 6. Percentages, interest and annuities.- 7. Plane geometry.- 8. Solid geometry.- 9. Descriptive geometry.- 10. Trigonometry.- 11. Plane trigonometry.- 12. Spherical trigonometry.- 13. Analytic geometry of the plane.- II. Steps towards higher mathematics.- 14. Set theory.- 15. The elements of mathematical logic.- 16. Groups and fields.- 17. Linear algebra.- 18. Sequences, series, limits.- 19. Differential calculus.- 20. Integral calculus.- 21. Series of functions.- 22. Ordinary differential equations.- 23. Complex analysis.- 24. Analytic geometry of space.- 25. Projective geometry.- 26. Differential geometry, convex bodies, integral geometry.- 27. Probability theory and statistics.- 28. Calculus of errors, adjustment of data, approximation theory.- 29. Numerical analysis.- 30. Mathematical optimization.- III. Brief reports on selected topics.- 31. Number theory.- 32. Algebraic geometry.- 33. Further algebraic structures.- 34. Topology.- 35. Measure theory.- 36. Graph theory.- 37. Potential theory and partial differential equations.- 38. Calculus of variations.- 39. Integral equations.- 40. Functional analysis.- 41. Foundation of geometry - Euclidean and non-Euclidean geometry.- 42. Foundations of mathematics.- Tables.
「Nielsen BookData」 より