《為數學家寫的廣義相對論》是2000年世界圖書出版公司出版的圖書。
基本介紹
- 書名：為數學家寫的廣義相對論
- ISBN：7506200783
- 頁數：: 291頁
- 出版社：世界圖書出版公司
- 出版時間：2000年12月1日
內容簡介,目錄,
內容簡介
Whileusingthisbookinclasses,wefoundthatourcanonicalreadercanlearnnonquantumphysicsratherquickly.Indeed,equippedwithgeometricintuitionandafacilitywithabstractarguments,heisinapositiontodealdirectlywiththegeneral,currentlyacceptedmodelsusedinrelativitywithoutbeinghandicappedbytheprejudicesthatinevitablycomewithyearsofNewtoniantraininginthestandardphysicscurriculum.However,thisshortcutdoesinvolveaprice:onecannotreallyseethediversityofspecialcasesbehindthedeceptivelysimplefoundationwithoutspendingmoretimethanamathematicsstudentnormallycanorshould.Wehavefeltforalongtimethataseriouseffortshouldbemadebyphysiciststocommunicatewithmathematicianssomewhatalongthelineofthisbook.Westartedwiththeaimofkeepingthephysicshonest,keepingth9mathematicshonest,andkeepingthelogicaldistinctionbetweenthetwostraight.Butwewereill-preparedfortheattendanttraumaofsuchanundertaking. 此書為英文版！ {zzjj}
目錄
Guidelines for the reader
Chapter 0 Preliminaries
0.0 Review and notation
0.1 Physics background
0.2 Preview of relativity
Chapter 1 Spacetimes
1.0 Review and notation
1.1 Causal character
1.2 Time orientability
1.3 Spacetimes
1.4 Examples of spacetimes
Chapter 2 Observers
2.0 Mathematical preliminaries
2.1 Observers and instantaneous observers
2.2 Gyroscope axes
2.3 Reference frames
Chapter 3 Electromagnetisim and matter
Chapter 4 The Einstein field equation
Chapter 5 photons
Chapter 6 Cosmology
Chapter 7 Further applications
Chapter 8 Optional exercises:relativity
Chapter 9 Optional exercises:Newtonian analogues
Glossary or symbols
Bibliography
Index of basic notations
Index
