The Road to Reality Study Notes: Difference between revisions

The Road to Reality Study Notes (edit)

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 An example of this rigidity and path dependence is ‘our old friend’ \(logz\).  There is no power series expansion about the origin due to the singularity there but depending on the path chosen of points around the origin (clockwise or anti-clockwise) the function extends or subtracts in value by \(2πi\).  See chapter 5 and the euler formula (\(e^{πi}=-1\)) for a refresher.
-== Chapter 20. Lagrangians and further Chapters.
+== Chapter 8 Riemann surfaces and complex mappings ==
-[[Path Integrals, Quantum, Information, Revolutions]]
+[[Category:Graph, Wall, Tome]]
 [[Category:Projects]]
-Penrose's original physical half of book is starting in fact with "magical" Lagrange formalism(-s). Previous chapters are devoted mainly to geometry and complex numbers. They can be omitted greatly in first reading IF you are interested in modern physics and would like to make some contribution to it (at least in Elon Musk's sense. Well, great Leibniz was also Elon Musk of his time). These chapters are must read for students of theoretical physics, as they help to understand most sophisticated techniques, such as Feynman's Path Integrals. They also present modern style of writing about physics/math/sciences, which is a good step forward, comparing with e.g. Feynman's books.