This book offers a succinct and self-contained treatment of general relativity and its application to neutron stars, black holes, gravitational waves and cosmology, at an intermediate level. The required mathematical concepts are introduced informally, following geometrical intuition as much as possible. The approach is theoretical, but there is ample discussion of observational aspects and instrumental issues where appropriate. Topical issues such as the Gravity Probe B mission, and the physics of interferometer detectors of gravitational waves and the angular power spectrum of the Cosmic Microwave Background are included. The book is written for advanced undergraduates and beginning graduate students in (astro)physics. The reader is assumed to be familiar with linear algebra and analysis, ordinary differential equations, special relativity, and basic thermal physics, but prior knowledge of differential geometry and general relativity is not required. Containing 140 exercises with extensive hints for their solution this book is ideally suited for a lecture course. The author is a senior scientist at the SRON Netherlands Institute for Space Research and teaches regularly at the University of Utrecht.

From the reviews: "The book is based on lecturers given by the author at the University of Utrecht to advanced undergraduates. This is a short and scholarly book. ... For those lecturers who are already lecturing on the subject, the book would be a valuable additional text. For those who have no access to a course on relativistic astrophysics but are seriously interested in the subject, Peter Hoyng's book would be an excellent 'primer'." (Marek A. Abramowicz, Classical and Quantum Gravity, Issue 24, 2007)

• Geometry of Riemann Spaces.- General Relativity.- The Schwarzschild Metric.- Compact Stars.- Black Holes.- Gravitational waves.- Fermi-Walker Transport.- The Robertson-Walker Metric.- The Evolution of the Universe.- Observational Cosmology.- The Big Bang.- Inflation.

This book offers a succinct and self-contained treatment of general relativity and its application to neutron stars, black holes, gravitational waves and cosmology, at an intermediate level. The required mathematical concepts are introduced informally, following geometrical intuition as much as possible. The approach is theoretical, but there is ample discussion of observational aspects and instrumental issues where appropriate. Topical issues such as the Gravity Probe B mission, and the physics of interferometer detectors of gravitational waves and the angular power spectrum of the Cosmic Microwave Background are included. The book is written for advanced undergraduates and beginning graduate students in (astro)physics. The reader is assumed to be familiar with linear algebra and analysis, ordinary differential equations, special relativity, and basic thermal physics, but prior knowledge of differential geometry and general relativity is not required. Containing 140 exercises with extensive hints for their solution this book is ideally suited for a lecture course. The author is a senior scientist at the SRON Netherlands Institute for Space Research and teaches regularly at the University of Utrecht.

From the reviews: "The book is based on lecturers given by the author at the University of Utrecht to advanced undergraduates. This is a short and scholarly book. ... For those lecturers who are already lecturing on the subject, the book would be a valuable additional text. For those who have no access to a course on relativistic astrophysics but are seriously interested in the subject, Peter Hoyng's book would be an excellent 'primer'." (Marek A. Abramowicz, Classical and Quantum Gravity, Issue 24, 2007)

• Geometry of Riemann Spaces.- General Relativity.- The Schwarzschild Metric.- Compact Stars.- Black Holes.- Gravitational waves.- Fermi-Walker Transport.- The Robertson-Walker Metric.- The Evolution of the Universe.- Observational Cosmology.- The Big Bang.- Inflation.