The geometry of time
著者
書誌事項
The geometry of time
(Physics textbook)
Wiley-VCH, c2005
大学図書館所蔵 全9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
内容説明・目次
内容説明
A description of the geometry of space-time with all the questions and issues explained without the need for formulas. As such, the author shows that this is indeed geometry, with actual constructions familiar from Euclidean geometry, and which allow exact demonstrations and proofs. The formal mathematics behind these constructions is provided in the appendices.
The result is thus not a textbook introducing readers to the theory of special relativity so they may calculate formally, but rather aims to show the connection with synthetic geometry. It presents the relation to projective geometry and uses this to illustrate the starting points of general relativity. Written at an introductory level for undergraduates, this novel presentation will also benefit teaching staff.
目次
1 Introduction
2 The World of Space and Time
2.1 Time-tables
2.2 Surveying space-time
2.3 Physical prerequisites of geometry
3 Reflection and Collision
3.1 Geometry and reflection
3.2 The reflection of mechanical motion
4 The Relativity Principle of Mechanics and Wave Propagation
5 Relativity Theory and its Paradoxes
5.1 Pseudo-Euclidean geometry
5.2 Einstein's mechanics
5.3 Energy
5.4 Kinematic peculiarities .
5.5 Aberration and Fresnel's paradox .
5.6 The net
5.7 Faster than light
6 The Circle Disguised as Hyperbola
7 Curvature
7.1 Spheres and hyperbolic shells .
7.2 The universe
8 The Projective Origin of the Geometries of the Plane
9 The Nine Geometries of the Plane
10 General Remarks
10.1 The theory of relativity .
10.2 Geometry and physics
A Reections
B Transformations
B.1 Coordinates
B.2 Inertial reference systems
B.3 Riemannian spaces, Einstein worlds
C Projective Geometry
C.1 Algebra .
C.2 Projective maps
C.3 Conic sections
D The Transition from the Projective to the Metrical Plane
D.1 Polarity
D.2 Reection
D.3 Velocity space
D.4 Circles and peripheries
D.5 Two examples
E The Metrical Plane
E.1 Classi_cation
E.2 The Metric
Exercises
References
Glossary
「Nielsen BookData」 より