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This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to understand all other geometries and it is the cornerstone for our basic intuition of vector spaces.
This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it.
This graduate level introduction explores the extended theories of gravity and cosmology, including variational principles, the weak-field limit, gravitational waves, and more. Complete with a consistent notation and rich references, the text unifies the existing literature in this area.
This book offers an excellent introduction to General Relativity and Cosmology. In the first part, the main concepts of General Relativity are presented, while the second offers an introduction to the astrophysical applications.
Presents information on the study of gravitational theories which can be seen as modifications or extensions of General Relativity.
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