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picture1_Calculus Pdf 169433 | Lecture03


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File: Calculus Pdf 169433 | Lecture03
special relativity tensor calculus and four vectors looking ahead to general relativity where such things are more important we will now introduce the mathematics of tensors and four vectors the ...

icon picture PDF Filetype PDF | Posted on 26 Jan 2023 | 4 years ago
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...Special relativity tensor calculus and four vectors looking ahead to general where such things are more important we will now introduce the mathematics of tensors spacetime let s start by dening some geometric objects bear with me for rst couple which seem obvious but lay groundwork less sequels scalar a is pure number meaning that all observers agree on its value example okay one trivial there others aren t so ll get those in bit event next have an eectively point generally if you n dimensional space need numbers label it uniquely two dimensions e g x y plane or surface sphere z naturally essence isn changed relabel coordinates i want stress this becausesomethingthatisobviousforeventsbutmaynotbeobviousforsomeothergeometric although when nally calculate something may choose coordinate system break into components also independent reality well within math at least going free representation has proved very helpful proving theorems about doing astrophysics usually best investigate given v...

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