Gregory L. Naber Bücher

The book presents a mathematically rigorous exploration of special relativity while emphasizing the physical significance behind the mathematics. It covers traditional topics as well as contemporary results, including Zeeman's causal automorphisms, the Penrose theorem, and a detailed introduction to spinors. The second edition introduces a new chapter on the de Sitter universe, guiding readers into the complexities of gravitational fields and models of an expanding universe. The text is accessible, requiring only basic knowledge of linear algebra and real analysis.

Exploring the foundations of quantum mechanics, this work delves into the origins of the Planck constant and Heisenberg algebra, as well as Feynman's motivation for the path integral formulation. It distinguishes between bosons and fermions, providing a thorough mathematical treatment of these concepts. The inclusion of extensive Appendices and Remark sections enriches the reader's understanding, making complex ideas accessible while maintaining rigorous standards.

Focusing on the Yang-Mills field, this second edition explores the profound influence of mathematical physics, particularly gauge theory, on the geometry and topology of manifolds. It delves into the intricate relationship between these mathematical concepts and their applications, providing a comprehensive understanding of how they intersect and shape modern mathematical thought.

This book explores topology and geometry, emphasizing the impact of mathematical physics, particularly gauge theory, on manifolds. It focuses on the Yang-Mills-Higgs field, balancing clarity and standard mathematics. The second edition includes an in-depth look at Donaldson-Witten Theory and features numerous exercises for reader engagement.