Title
Applicable Differential Geometry (London Mathematical Society Lecture Note Series, Series Number 59),Used
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This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students.
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- Q: What is the main focus of the book 'Applicable Differential Geometry'? A: The book introduces geometrical topics relevant to applied mathematics and theoretical physics, covering subjects like manifolds, metrics, connections, Lie groups, spinors, and bundles.
- Q: Who is the author of 'Applicable Differential Geometry'? A: The author of the book is M. Crampin.
- Q: What is the condition of the book being sold? A: The book is listed as a 'Used Book in Good Condition', ensuring it is still suitable for study.
- Q: What topics are covered in the first half of the book? A: The first half focuses on the geometry of affine spaces, which is relevant to special relativity theory and Newtonian mechanics.
- Q: What can I expect to find in the second half of the book? A: The second half of the book covers the geometry of manifolds, which is essential for understanding general relativity and gauge field theory.
- Q: How many exercises are included in the book? A: The book contains over 650 exercises to reinforce the concepts discussed.
- Q: What is the publication date of 'Applicable Differential Geometry'? A: The book was published on April 24, 1987.
- Q: What is the binding type of the book? A: The book is available in a paperback binding.
- Q: What is the total number of pages in 'Applicable Differential Geometry'? A: The book consists of 404 pages.
- Q: Is this book suitable for beginners in differential geometry? A: While the book is informative and clear, it is best suited for advanced undergraduate and postgraduate students, as it covers complex topics in geometrical analysis.