کتاب Mathematical Physics: A Modern Introduction to Its Foundations (نسخه کامل)

The goal of this book is to expose the reader to the indispensable role that mathematics—often very abstract—plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green’s functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories.

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