The Comprehensible Cosmos
If you want to understand mainstream modeling in physics I would recommend the following book The Comprehensible Cosmos: Where Do the Laws of Physics Come From? written by Victor J. Stenger which I finished reading a couple of months ago. It shows how the so called physical laws (the author calls them models) can be derived from various symmetries including gauge invariance. This short book (300 pages) covers topics from classical mechanics and relativity including Lagrangian and Hamiltonian formulations to statistical and vacuum physics.
The nice feature of this book is its clear separation between textual description and mathematics. The first 190 pages don’t have any mathematical formulas and the next 130 pages repeat the same discussion using undergraduate level of mathematics.
- Dmitry Vostokov @ LiterateScientist.com -
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