junio 19, 2017 Danilo Jose Polo Ojito
- Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics.
- This book is a considerable expansion of lectures I gave at the School of Mathematical and Physical Sciences, University of Sussex during the winterterm of 1986. The audience included postgraduate students and faculty membersworking in particle physics, condensed matter physics and general relativity. The lectures were quite informal and I have tried to keep this informality as much aspossible in this book. The proof of a theorem is given only when it is instructiveand not very technical; otherwise examples will make the theorem plausible. Many figures will help the reader to obtain concrete images of the subjects.
- In spite of the extensive use of the concepts of topology, differential geometry and other areas of contemporary mathematics in recent developments intheoretical physics, it is rather difficult to find a self contained book that is easily accessible to postgraduate students in physics. This book is meant to fill the gap between highly advanced books or research papers and the many excellent intro-ductory books. As a reader, I imagined a first-year postgraduate student in theo-retical physics who has some familiarity with quantum field theory and relativity.In this book, the reader will find many examples from physics, in which topo-logical and geometrical notions are very important. These examples are eclecticcollections from particle physics, general relativity and condensed matter physics.Readers should feel free to skip examples that are out of their direct concern. However, I believe these examples should be the theoretical minimato studentsin theoretical physics. Mathematicians who are interested in the application oftheir discipline to theoretical physics will also find this book interesting.
- Complete book here
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