공간과 시간과 물질에 관한 물리와 수학 책.The Book of Space-- Time-- Matter, by Hermann Weyl

Hermann Weyl 지음

뉴가출판사 2020년 09월 08일 출간

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책소개

공간과 시간과 물질에 관한 물리와 수학 책.The Book of Space-- Time-- Matter, by Hermann Weyl
유클리드의 기하학과 갈릴레오의 천문학 그리고 아이슈타인의 상대성이론 까지의 그리고 물론, 뉴톤의 물리와 수학도 포함되고, 공간및 시간및 물질에 대한 물리적 개념과 수학적 공식을 도입해서 정리한책. 독일로된 책을 영어로 번역한책.
The Book of Space--
Time--Matter,
by Hermann Weyl
Title: Space--Time--Matter
Author: Hermann Weyl
Translator: Henry L. Brose
Language: English
SPACE―TIME―MATTER
BY
HERMANN WEYL
TRANSLATED FROM THE GERMAN BY
HENRY L. BROSE
WITH FIFTEEN DIAGRAMS
METHUEN & CO. LTD.
36 ESSEX STREET W.C.
LONDON

목차연속 2.
§ 31. Rigorous Solution of the Problem of One Body. . . . . . . . . . . . . 377
§ 32. Additional Rigorous Solutions of the Statical Problem of
Gravitation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 388
§ 33. Gravitational Energy. The Theorems of Conservation . . . . . . 402
§ 34. Concerning the Inter-connection of the World as a Whole . . 409
§ 35. The Metrical Structure of the World as the Origin of Elec tromagnetic Phenomena . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 422
§ 36. Application of the Simplest Principle of Action. The Funda mental Equations of Mechanics . . . . . . . . . . . . . . . . . . . . . . . . 442
Appendix I. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 468
Appendix II. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 470
Bibliographical References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 475
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486

목차

CONTENTS
PAGE
Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
CHAPTER I
Euclidean Space. Its Mathematical Formulation and its
R？le in Physics
§ 1. Deduction of the Elementary Conceptions of Space from that
of Equality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
§ 2. The Foundations of Affine Geometry . . . . . . . . . . . . . . . . . . . . . . . 23
§ 3. The Conception of n-dimensional Geometry. Linear Algebra.
Quadratic Forms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
§ 4. The Foundations of Metrical Geometry . . . . . . . . . . . . . . . . . . . . 39
§ 5. Tensors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
§ 6. Tensor Algebra. Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
§ 7. Symmetrical Properties of Tensors . . . . . . . . . . . . . . . . . . . . . . . . . 79
§ 8. Tensor Analysis. Stresses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
§ 9. Stationary Electromagnetic Fields. . . . . . . . . . . . . . . . . . . . . . . . . . 94
CHAPTER II
The Metrical Continuum
PAGE
§ 10. Note on Non-Euclidean Geometry. . . . . . . . . . . . . . . . . . . . . . . . . . 113
§ 11. The Geometry of Riemann . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
§ 12. Continuation. Dynamical View of Metrical Properties . . . . . . 140
§ 13. Tensors and Tensor-densities in any Arbitrary Manifold . . . . 151
§ 14. Affinely Related Manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165
§ 15. Curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173
§ 16. Metrical Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
§ 17. Observations about Riemann’s Geometry as a Special Case. 191
§ 18. Metrical Space from the Point of View of the Theory of
Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205
CHAPTER III
Relativity of Space and Time
§ 19. Galilei’s Principle of Relativity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221
§ 20. The Electrodynamics of Moving Fields Lorentz’s Theorem of
Relativity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 238
§ 21. Einstein’s Principle of Relativity . . . . . . . . . . . . . . . . . . . . . . . . . . . 251
§ 22. Relativistic Geometry, Kinematics, and Optics . . . . . . . . . . . . . 267
§ 23. The Electrodynamics of Moving Bodies . . . . . . . . . . . . . . . . . . . . 281
§ 24. Mechanics according to the Principle of Relativity. . . . . . . . . . 293
§ 25. Mass and Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 298
§ 26. Mie’s Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307
CHAPTER IV
The General Theory of Relativity
PAGE
§ 27. The Relativity of Motion, Metrical Fields, Gravitation . . . . . 325
§ 28. Einstein’s Fundamental Law of Gravitation . . . . . . . . . . . . . . . . 342
§ 29. The Stationary Gravitational Field―Comparison with Ex periment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359
§ 30. Gravitational Waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371

책 속으로

공간과 시간과 물질에 관한 물리와 수학 책.The Book of Space-- Time-- Matter, by Hermann Weyl
유클리드의 기하학과 갈릴레오의 천문학 그리고 아이슈타인의 상대성이론 까지의 그리고 물론, 뉴톤의 물리와 수학도 포함되고, 공간및 시간및 물질에 대한 물리적 개념과 수학적 공식을 도입해서 정리한책. 독일로된 책을 영어로 번역한책.
The Book of Space--
Time--Matter,
by Hermann Weyl
Title: Space--Time--Matter
Author: Hermann Weyl
Translator: Henry L. Brose
Language: English
SPACE―TIME―MATTER
BY
HERMANN WEYL
TRANSLATED FROM THE GERMAN BY
HENRY L. BROSE
WITH FIFTEEN DIAGRAMS
METHUEN & CO. LTD.
36 ESSEX STREET W.C.
LONDON
The Book of Space-- Time-- Matter, by Hermann Weyl

출판사 서평

FROM THE AUTHOR’S PREFACE TO THE FIRST
EDITION
Einstein’s Theory of Relativity has advanced our ideas of the
structure of the cosmos a step further. It is as if a wall which sep arated us from Truth has collapsed. Wider expanses and greater
depths are now exposed to the searching eye of knowledge, regions
of which we had not even a presentiment. It has brought us much
nearer to grasping the plan that underlies all physical happening.
Although very recently a whole series of more or less popular
introductions into the general theory of relativity has appeared,
nevertheless a systematic presentation was lacking. I therefore
considered it appropriate to publish the following lectures which
I gave in the Summer Term of 1917 at the Eidgen. Technische
Hochschule in Z？rich. At the same time it was my wish to present
this great subject as an illustration of the intermingling of philo sophical, mathematical, and physical thought, a study which is
dear to my heart. This could be done only by building up the
theory systematically from the foundations, and by restricting at tention throughout to the principles. But I have not been able to
satisfy these self-imposed requirements: the mathematician pre dominates at the expense of the philosopher.
The theoretical equipment demanded of the reader at the out set is a minimum. Not only is the special theory of relativity dealt
with exhaustively, but even Maxwell’s theory and analytical ge ometry are developed in their main essentials. This was a part
of the whole scheme. The setting up of the Tensor Calculus―by
means of which, alone, it is possible to express adequately the
physical knowledge under discussion―occupies a relatively large
amount of space. It is therefore hoped that the book will be found

작가정보

저자(글) Hermann Weyl

독일어로부터 영어로 번역된책.
The Book of Space--
Time--Matter,
by Hermann Weyl
Title: Space--Time--Matter
Author: Hermann Weyl
Translator: Henry L. Brose
Language: English
SPACE―TIME―MATTER
BY
HERMANN WEYL
TRANSLATED FROM THE GERMAN BY
HENRY L. BROSE
WITH FIFTEEN DIAGRAMS
METHUEN & CO. LTD.
36 ESSEX STREET W.C.
LONDON