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The book covers different aspects of mathematical methods for
Physics. It is designed for graduate courses but a part of it can
also be used by undergraduate students. The leitmotiv of the book
is the search for a common mathematical framework for a wide class
of apparently disparate physical phenomena. An important role,
within this respect, is provided by a nonconventional formulation
of special functions and polynomials. The proposed methods simplify
the understanding of the relevant technicalities and yield a
unifying view to their applications in Physics as well as other
branches of science.The chapters are not organized through the
mathematical study of specific problems in Physics, rather they are
suggested by the formalism itself. For example, it is shown how the
matrix formalism is useful to treat ray Optics, atomic systems
evolution, QED, QCD and Feynman diagrams. The methods presented
here are simple but rigorous. They allow a fairly substantive tool
of analysis for a variety of topics and are useful for beginners as
well as the more experienced researchers.
The book covers different aspects of mathematical methods for
Physics. It is designed for graduate courses but a part of it can
also be used by undergraduate students. The leitmotiv of the book
is the search for a common mathematical framework for a wide class
of apparently disparate physical phenomena. An important role,
within this respect, is provided by a nonconventional formulation
of special functions and polynomials. The proposed methods simplify
the understanding of the relevant technicalities and yield a
unifying view to their applications in Physics as well as other
branches of science.The chapters are not organized through the
mathematical study of specific problems in Physics, rather they are
suggested by the formalism itself. For example, it is shown how the
matrix formalism is useful to treat ray Optics, atomic systems
evolution, QED, QCD and Feynman diagrams. The methods presented
here are simple but rigorous. They allow a fairly substantive tool
of analysis for a variety of topics and are useful for beginners as
well as the more experienced researchers.
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