John M. Lee Livres

Geared towards graduate students with a background in topological and differentiable manifolds, this textbook offers a comprehensive exploration of Riemannian geometry. The second edition features significant adaptations and expansions, enhancing its clarity and depth. It serves as a robust resource for understanding the intricacies of Riemannian structures, geodesics, and curvature, making it suitable for both one and two-semester courses. The updated content aims to facilitate a deeper grasp of the subject for advanced learners.

This graduate-level textbook introduces the theory of smooth manifolds, covering essential topics like tangent vectors, vector bundles, tensors, and Lie groups. The revised second edition emphasizes concrete understanding with intuitive discussions and illustrations, introducing key analytic tools earlier. Prerequisites include general topology and basic linear algebra.

Focusing on the geometric meaning of curvature, this textbook for graduate students emphasizes essential tools for studying Riemannian geometry. It covers metrics, connections, and geodesics before introducing the Riemann curvature tensor and submanifold theory for practical interpretation. The text aims to prove four fundamental theorems linking curvature and topology, including the Gauss-Bonnet and Cartan-Hadamard theorems. Selected topics are structured for a concise ten to fifteen-week course, prioritizing depth over breadth in the subject matter.

Set against the backdrop of Roman slavery, the story follows a gladiator who escapes to Israel and encounters Jesus. Inspired by this meeting, he journeys to Africa to assemble an army of religious warriors, driven by a desire for revenge against the Roman forces. This tale intertwines themes of faith, rebellion, and the quest for justice in a tumultuous historical context.

Set in the 1930s, the narrative explores the strong ties between the United States and Cuba, highlighted by The Habana House tavern in Asbury Park, New Jersey, owned by Cubans. The story also features the Morro Castle, a steamship that connects the two nations by sailing into Cuban harbors, symbolizing the cultural and economic exchange during this prosperous era.