Barrett O'Neill Books

This unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self-contained treatment constitutes an introduction to modern techniques in differential geometry. The text begins with a substantial chapter offering background on the mathematics needed for the rest of the book. Subsequent chapters emphasize physical interpretation ..

Targeted at students with a foundational knowledge of calculus and linear algebra, this book delves into advanced mathematical concepts. It emphasizes the application of these principles in various fields, providing a rigorous exploration of topics that extend beyond introductory courses. The content is designed to enhance understanding and problem-solving skills, making it an essential resource for those looking to deepen their mathematical expertise.