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Practical Relativity - From First Principles to the Theory of Gravity (Paperback)
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Practical Relativity - From First Principles to the Theory of Gravity (Paperback)
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The book is intended to serve as lecture material for courses on
relativity at undergraduate level. Although there has been much
written on special relativity the present book will emphasize the
real applications of relativity. In addition, it will be physically
designed with the use of box summaries so as to allow easy access
of practical results. The book will be composed of eight chapters.
Chapter 1 will give an introduction to special relativity that is
the world without gravity. Implications will be presented with
emphasis on time dilation and the Doppler shift as practical
considerations. In Chapter 2, the four-vector representation of
events will be introduced. The bulk of this chapter will deal with
flat space dynamics. This will require the generalization of
Newton's first and second laws. Some important astronomical
applications will be discussed in Chapter 3 and in Chapter 4 some
engineering applications of special relativity such as atomic
clocks will be presented. Chapter 5 will be dedicated to the thorny
question of gravity. The physical motivation of the theory must be
examined and the geometrical interpretation presented. Chapter 6
will present astronomical applications of relativistic gravity.
These include the usual solar system tests; light bending, time
delay, gravitational red-shift, precession of Keplerian orbits.
Chapter 7 will be dedicated to relativistic cosmology. Many of the
standard cosmological concepts will be introduced, being
mathematically simple but conceptually subtle. The concluding
chapter will be largely dedicated to the global positioning system
as an engineering problem that requires both inertial and
gravitational relativity. The large interferometers designed as
gravitational wave telescopes will be discussed here.
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