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Differential Geometry in Physics
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TJS 558
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Differential Geometry in Physics is a bridge between theoretical physics & applied mathematics, featuring examples of curves, surfaces, trajectory of particles in black holes, and a detailed description of the famous Dirac monopole and instantons.
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- Treats the mathematical foundations of general relativity and gauge theory of quantum fields
- Helps bridge the gap between theoretical physics and applied mathematics
- Utilizes an approach based on the theory of curves and surfaces for better accessibility
- Includes examples of beautiful curves and surfaces found in nature
- Incorporates detailed descriptions of trajectory of particles in black holes and the famous Dirac monopole and instantons
- Contains over 80 illustrations, including surfaces related to the theory of soliton waves and is available as an open access ebook
| Publisher | University of North Carolina Wilmington William Madison Randall Library |
| Publication date | October 15, 2021 |
| Language | English |
| Print length | 372 pages |
| ISBN-10 | 1469669242 |
| ISBN-13 | 978-1469669243 |
| Item Weight | 1.5 pounds (680 grams) |
| Dimensions | 6.14 x 0.88 x 9.21 inches (15.6 x 2.2 x 23.4 cm) |
Who Should Buy?
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Physics Students
Ideal for undergraduate and graduate students seeking to understand the mathematical foundations of modern physics.
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Researchers
Beneficial for researchers focusing on advanced topics in differential geometry and its applications in theoretical physics.
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Educators
Useful for educators looking for comprehensive resources to teach differential geometry concepts in a physics context.
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Casual Learners
Not suitable for those seeking a simple overview of physics, as it requires substantial mathematical knowledge.
ОПИСАНИЕ ТОВАРА
Differential Geometry in Physics
Вопросы и ответы клиентов
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вопрос:
What is the book about?
отвечать: Differential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. -
вопрос:
What is the approach of the book?
отвечать: The approach is to carve an optimal path to learning this challenging field by appealing to the much more accessible theory of curves and surfaces. -
вопрос:
Is the book available online?
отвечать: Yes, an open access ebook edition is available at Open UNC.
Differential Geometry Editorial Review
"Differential Geometry in Physics" is a highly recommended book for advanced undergraduates and beginning graduate students of physics. The author's pedagogical style makes it well-written and easily understood by non-mathematicians. The book successfully prepares and introduces the generalized Stokes' theorem while having applications that extend beyond general relativity to include quantum theory. The content is excellent and the development of the theoretical concepts is well-done. The book is Considered to be the Bible of Riemannian and pseudo-Riemannian geometry, making it an essential reference for understanding the deepest theories in physics.
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- The language of tensor calculus and differential forms is beautifully explained.
- Successfully prepares and introduces the generalized Stokes' theorem.
- Applications of the book extend beyond general relativity and include quantum theory.
- Book is well-written and has a great pedagogical style.
- Essential reference for understanding the deepest theories in physics.
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Особенности и преимущества
- Bridge between theoretical physics & applied mathematics
- Features examples of curves, surfaces, and trajectory of particles in black holes
- Detailed description of the famous Dirac monopole and instantons
- Over 80 illustrations including a large array of surfaces
- Chapters 1-4 and chapter 5 comprise the content of a one-semester course
- Open access ebook edition is available at Open UNC
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