Differential Geometry in Physics
by
Gabriel Lugo
Book Details
Format
Paperback / Softback
ISBN-10
1469669250
ISBN-13
9781469669250
Publisher
The University of North Carolina Press
Imprint
The University of North Carolina Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 15th, 2021
Print length
382 Pages
Weight
333 grams
Dimensions
23.30 x 15.50 x 1.90 cms
Ksh 3,600.00
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Presents a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. The material is intended to help bridge the gap that often exists between theoretical physics and applied mathematics.
Differential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. The material is intended to help bridge the gap that often exists between theoretical physics and applied mathematics.
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. The transition from classical differential geometry as developed by Gauss, Riemann and other giants, to the modern approach, is facilitated by a very intuitive approach that sacrifices some mathematical rigor for the sake of understanding the physics. The book features numerous examples of beautiful curves and surfaces often reflected in nature, plus more advanced computations of trajectory of particles in black holes. Also embedded in the later chapters is a detailed description of the famous Dirac monopole and instantons.
Features of this book:
* Chapters 1-4 and chapter 5 comprise the content of a one-semester course taught by the author for many years.
* The material in the other chapters has served as the foundation for many master's thesis at University of North Carolina Wilmington for students seeking doctoral degrees.
* An open access ebook edition is available at Open UNC (https://openunc.org)
* The book contains over 80 illustrations, including a large array of surfaces related to the theory of soliton waves that does not commonly appear in standard mathematical texts on differential geometry.
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. The transition from classical differential geometry as developed by Gauss, Riemann and other giants, to the modern approach, is facilitated by a very intuitive approach that sacrifices some mathematical rigor for the sake of understanding the physics. The book features numerous examples of beautiful curves and surfaces often reflected in nature, plus more advanced computations of trajectory of particles in black holes. Also embedded in the later chapters is a detailed description of the famous Dirac monopole and instantons.
Features of this book:
* Chapters 1-4 and chapter 5 comprise the content of a one-semester course taught by the author for many years.
* The material in the other chapters has served as the foundation for many master's thesis at University of North Carolina Wilmington for students seeking doctoral degrees.
* An open access ebook edition is available at Open UNC (https://openunc.org)
* The book contains over 80 illustrations, including a large array of surfaces related to the theory of soliton waves that does not commonly appear in standard mathematical texts on differential geometry.
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