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Science & Mathematics - Differential Geometry in Physics

Description

Book Synopsis: 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.

Details

Are you interested in the theory of general relativity and quantum fields? Look no further! Our Differential Geometry in Physics book is the perfect resource for bridging the gap between theoretical physics and applied mathematics. With its emphasis on curves and surfaces, this book offers an optimal path to understanding this challenging field. Get ready to explore the mathematical foundations of the theory of general relativity and gauge theory of quantum fields in a clear and accessible way.

One of the unique features of our book is the intuitive approach taken to explain complex topics. We prioritize understanding the physics behind the theories, without compromising the rigor. By appealing to the theory of curves and surfaces, our book simplifies the transition from classical differential geometry to the modern approach. We believe that learning should be an enjoyable experience, and our book is filled with numerous examples of beautiful curves and surfaces frequently found in nature.

But that's not all! Our book also delves into more advanced computations, such as the trajectory of particles in black holes. You'll find detailed descriptions of famous concepts, including the Dirac monopole and instantons, embedded in the later chapters. These valuable insights make our book an invaluable resource for both students and researchers.

Designed with comprehensive learning in mind, our book is suitable for a one-semester course. In fact, chapters 1-4 and chapter 5 have been successfully taught by the author for many years. Moreover, the material in the other chapters has formed the foundation for numerous master's theses at the prestigious University of North Carolina Wilmington, helping students in their pursuit of doctoral degrees.

To make this incredible resource accessible to more learners, we offer an open access ebook edition at Open UNC. Take advantage of this opportunity to easily access the content anytime, anywhere.

With over 80 illustrations, including a vast array of surfaces related to the theory of soliton waves, our book goes above and beyond standard mathematical texts on differential geometry. Don't miss out on this enriching and enlightening experience. Purchase Differential Geometry in Physics today and elevate your understanding of this fascinating field.

Click here to access the open access ebook edition now!

Disclosure: I get commissions for purchases made through links in this website