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Provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. It contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.
Offers an introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. This book includes topics such as the nondegeneracy of the ground state, spectra of atoms, and scattering theory. It is suited for self-study and includes exercises.
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