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This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared

This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert space

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematici

The second printing contains a critical discussion of Dirac derivation of canonical quantization, which is instead deduced from general geometric structures. Th

A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books