#Prum samba meaning series

(4) Quantum feld theory and gauge theory: Gustafson: 'Mathematical Concepts of Quantum Mechanics' Takhtadzhian: 'Quantum Mechanics for Mathematicians' Teschl: 'Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators' However, the last two chapters include a very precise and axiomatic description of the foundation of general relativity and also a little bit of Kaluza-Klein theory. Köhler: 'Differentialgeometrie und homogene Räume' - This book is in german language and more about differential geometry. Godinho and Natario: 'An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity' O'Neill: 'Semi-Riemannian Geometry With Applications to Relativity' Naber: 'The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity' Gourgoulhon: 'Special relativity in General Frames: From Particles to Astrophysics' (2) Special and general theory of relativity: Gross, Kotiuga, Knovel and Levy: 'Electromagnetic Theory and Computation: A Topological Approach' - I do not have a very deep look into this book but it seems to be mathematical precise. Lee, Leok and McClamroch: 'Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds: A Geometrical Approach to Modeling and Analysis' - A nice book about Lagrangian mechanics on manifolds (1) Classical physics (mechanics + electrodynamics):Īrnold: 'Mathematical Methods of Classical mechanics' - a clasic one but still good

With this thread, I would like to hear some opinions and also some additional suggestions for my list:

#Prum samba meaning series

But of course, there are some very good books about this topic, like the german textbook series 'Mathematische Methoden der Theoretischen Physik' from the Austrian physicist Gebhard Grübl or also Hassani's book 'Mathematical physics'. I am not a really big fan of such textbooks, because I think that one should read a real matehmatical textbook in order to learn the underlying mathematics of physics. Of course, I am aware that the physical unterstanding of theories and also the use of some 'hand-wavy' mathematics as abbreviation is indispensable, but as I have seen by similar questions in this and other forums, I am not the only one who enjoys reading abstract mathematical textbooks about physics.īy the way, I do not mean books about mathematical methods of physics. Therefore, I have recently started to compile a list of good textbooks about physics, which have a very high level of mathematical rigour. I am very interested in the abstract mathematical description of nature.