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Differential Geometry in Physics
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
* 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 ()
* 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
* 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 ()
* 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.
372 pages, Hardcover
Published October 15, 2021
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About the author
Gabriel Lugo
3 books3 followersI have been writing since I was 14 years old. Even at that age I had searched for ideas that differ from the norm of our society. I wanted my readers to know that when they pick up my books they will know it is something unique and never been done before. On top of being unique I wanted it to keep you at the edge of your seat and keep you flipping pages. My philosophy is that you should only be able to put down a book if something drastic causes you to do so. A book should keep you entwined in the pages from beginning to end, and there are not enough books like that. I hope I become the author I have searched for since I was a child and I hope you enjoy my novel. http://www.amazon.com/dp/B009ZTCGZ4/
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