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Explains physical ideas in the language of mathematics.

Provides a self-contained treatment of the necessary mathematics, including spectral theory and Lie theory.

Contains many exercises that will appeal to graduate students.

Presents an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level.

One of the few textbooks to bridge the gap between the available elementary texts and high level texts.

Includes many non-trivial applications of the theory and interesting exercises.

Includes supplementary material: sn.pub/extras