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空间与时间/Space and time

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空间与时间/Space and time

最 低 价:¥366.10

定 价:¥406.80

作 者:EmileBorel 著

出 版 社:Oversea Publishing House

出版时间:2003-9-1

I S B N:9780486495453

价格
366.10元

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内容简介

  Unsurpassed among books on space and time in terms of its insights and clarity, this volume by a world-famous mathematician can be appreciated by lay readers as well as scientific audiences. Author Emile Borel exhibits the mathematician's characteristic precision and lucidity in an imaginative series of examples, analogies, and arguments that illustrate sophisticated concepts of space and time.
  After an introduction tracing the transformation of mathematico-physical thought from Newton and Poincare to Einstein, Dr. Borel covers geometry and the shape of the earth, space and time in astronomy, abst geometry and geographical maps, continuity and topology, the propagation of light, the special and general theories of relativity, and theoretical and experimental researches. Those wishing to attempt to follow the mathematical formulations can consuit endnotes on the basic mathematics of the kinematics of the special theory of relativity and of the fundamental hypotheses of physics and of geometry. Other notes cover the mathematical continuum and the physical continuum and the finiteness of the universe.
  Written in the 1920s, when controversy about the new theory of relativity was at its peak, this classic work possesses an appealing excitement and immediacy that complement its accessibility.

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目录

INTRODUCTION
FROM NEWTON AND POINCARIE TO EINSTEIN
 CURIOSITY ABOUT EINSTEIN'S THEORIES
 GEOMETRY A PHYSICAL SCIENCE
 INVARIABLE BODIES AND VARIOUS SCALES
 GEOMETRY INSEPARABLE FROM OPTICS
 DIFFICULTIES DUE TO MOTION
 SCIENTIFIC IMPORTANCE OF AN EXTRA DECIMAL
 TIME A MEASURABLE QUANTITY
 ANALOGY BETWEEN THE MEASUREMENT OF TIME AND TItE MEASUREMENT OF LENGTH
 ARTIFICIAL CLOCKS AND THE CLOCKS OF ASTRONOMERS
 THE INFLUENCE OF GRAVITATION UPON CLOCKS
 THE SLOWING DOWN OF CLOCKS IN ACCELERATED MOTION
 THE TIMING OF CLOCKS
 THE NECESSITY OF SUCCESSIVE APPROXIMATIONS
 THE ORIGIN OF NEWTON'S LAW
 THE EXPERIMENTS OF CAVENDISH
 GRAVITATION AN ISOLATED PHENOMENON
 CENTRIFUGAL FORCE AND FORCE OF INERTIA
 GRAVITATION A FORCE OF INERTIA
CHAPTER Ⅰ GEOMETRY AND THE SHAPE OF THE EARTH
 1. ORIGIN OF GEOMETRY--INVARIABLE BODIES
 2. GEOMETRY OF POSITION AND METRIC GEOMETRY
 3. SOLID BODIES
 4. CARTESIAN CO-ORDINATES
 5. THE POSTULATES OF EUCLID
 6. ANALYTICAL GEOMETRY AND M. JOURDAIN'S PROSE
 7. ANALYTICAL GEOMETRY--SPACE ON THE HUMAN SCALE
 8. NUMBER KNOWS NO LIMITATIONS
 9. PRESERVATION OF LANDMARKS
 10. GEOGRAPHICAL CO-ORDINATES
 11. GEODETIC MEASUREMENTS
 12. THE UNIT OF LENGTH AND RICIfER'S PENDULUM
 13. THE METRIC SYSTEM AND INTERNATIONAL STANDARDS
 14. THE METRE IN TERMS OF WAVE-LENGTHS
 15. THE FIGURE OF THE EARTH
 16. THE EARTH REGARDED AS A LEVEL SURFACE
 17. VARIATION OF THE POLES--TIDES IN THE EARTH'S CRUST
 18. THE SCIENTIFIC VALUE OF EXACT MEASURE MIENTS
CHAPTER Ⅱ SPACE AND TIME IN ASTRONOMY
CHAPTER Ⅲ ABSTRACT GEOMETRY AND GEOGRAPHICAL MAPS
CHAPTER Ⅳ CONTINUITY AND TOPOLOGY
CHAPTER Ⅴ THE PROPAGATION OF LIGHT
CHAPTER Ⅵ THE SPCIAL THEORY OF RELATIVITY
CHAPTER Ⅶ THE GENERAL THEORY OF RELATIVITY
CHAPTER Ⅷ RECENT THEORETICAL AND EXPERIMENTAL RESEARCHES
NOTE

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