GUIDE TO MATH METH FOR PHYS-PROB & SOLNS

GUIDE TO MATH METH FOR PHYS-PROB & SOLNS

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Mathematics plays a fundamental role in the formulation of physical theories. This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts - complex analysis and vector spaces - in order to stress how seemingly differe...