Exercises in Applied Mathematics
Daniel Alpay
Gebundenes Buch

Exercises in Applied Mathematics

With a View toward Information Theory, Machine Learning, Wavelets, and Statistical Physics

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This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections. It explores essential tools from linear algebra, elementary functional analysis, and probability theory in detail and demonstrates their applications in topics such as entropy, machine learning, error-correcting codes, and quantum channels. The theory of communication and signal theory are also in the background, and many exercises have been chosen from the theory of wavelets and machine ...