Titlebook: General Relativity and Cosmology; A First Encounter Ronald J. Adler Textbook 2021 The Editor(s) (if applicable) and The Author(s), under ex

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Introduction to Asynchronous Circuit Design,This chapter is a short review of what students generally encounter in a modern physics course: a discussion of time in a universe with a constant velocity of light, and the important consequences of the relativity of time such as length contraction and time dilation.

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On the Fibers of Analytic Mappings,In a general Riemann space the concepts of straight lines and parallel vectors must be generalized from those familiar in Euclidian geometry. The fundamental objects needed for the generalization are affine connections. With affine connections we are naturally led to a deeper view of spacetime and the behavior of objects in it.

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Integral Valued Entire Functions,The ideas of classical vector analysis in Euclidian space generalize naturally to Riemann space. Affine connections are the key to this generalization. Moreover much of classical vector analysis becomes more clear and simple; the divergence and Laplacian are prime examples.

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Elementary Theory of Holomorphic Functions,In this chapter we return to mathematics and study curvature in a Riemann space.Einstein’s general relativistic field equations of gravity follow in an intuitive way from a study of the Riemann tensor and the geometric view of gravity.

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A Brief Stroll in Special RelativityThis chapter is a short review of what students generally encounter in a modern physics course: a discussion of time in a universe with a constant velocity of light, and the important consequences of the relativity of time such as length contraction and time dilation.

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The Motion of ParticlesThis chapter deals with the motion of particles, their energy and momentum and acceleration, and emphasizes the geometric view of motion in spacetime. In particular it demonstrates that special relativity is not limited to motion at constant velocity.