A Path To Relativity From Elementary Calculus Via Special Relativity All The Way To General Relativity With All Of The Equations Step By Step(1st Edition)
Authors:
Mr Lewis George Kirby
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Book details
ISBN: B0DBZ6QWFS, 979-8333065100
Book publisher: Independently published
Book Summary: Einstein's Theory Of Relativity Has Been Described As ‘beautiful’ And ‘the Greatest Feat Of The Human Intellect’. There Are Many Books On Relativity That Provide A Wide Pathway To Understanding, Covering Important, And Not-so-important, Topics Along The Way; But The Vast Majority Of Them Skip Over Some Of The Mathematics, Using Phrases Such As ‘it Is Easy To Show That...’, Or ‘after Some Algebra We Find...’, Or Even ‘we Leave The Proof To The Reader’.Sometimes You Just Want To See The Mathematics, So A Path To Relativity Instead Takes A Short, Narrow, Detailed Path: ‘short’ Because It Assumes The Reader Already Knows Some Elementary Calculus, And Only Goes As Far As First Ideas, Equations, And Solutions Of General Relativity; ‘narrow’ Because It Does Not Include Topics That Are Not Directly Required To Get To Its Destination; And ‘detailed’ Because It Includes All Of The Equations (and Derivations Thereof) That You Will Need.The Overall Path Contains The Main Three Milestones Contained In Other Texts: Special Relativity, Tensors, And General Relativity. The Actual Steps Vary Enormously In The Many Texts, And Here We Take What We Regard As The Simplest Straightforward Path That Makes Sense.Contents1. Introduction2. Prelude To Special Relativity3. Coordinate Transform And Spacetime4. Consequences Of The Lorentz Transformation5. Minkowski Spacetime6. Special Relativity Mechanics7. Prelude To Tensors8. Tensor Algebra9. Tensor Calculus10. Geometry: Geodesics And Curvature11. Prelude To General Relativity12. Newton's Gravity13. Einstein's Gravity (1)14. Simplest Vacuum Solution15. Einstein's Gravity (2)16. Closing RemarksTo Be Clear: The Book Does Not Contain Any Detail About Advanced Topics Such As Black Holes, Gravitational Waves, Etc, And Contains No Exercises At All. Its Purpose Is To Provide A Path To Relativity And Then Stop.
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