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Statistical Mechanics I Spring 2026
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Notes and Teaching Materials
These supplementary notes reflect both my teaching-assistant work and my research interests. They span a range of topics and are intended to provide students with deeper insight and clearer explanations than those typically found in standard textbooks.
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Topics in Vectors
Notes
Vector Spaces and Linear Algebra for Physics
Orientation: vector spaces, linear transformations, and inner products
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Vector Analysis with Differential Forms for Physics
Orientation: calculus on manifolds, Stokes' theorem, and Maxwell's equations
Mathematical Analysis
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Green's Functions, Generalized Functions, and Their Applications in Physics
Orientation: Green's functions, generalized functions, and Fourier transforms
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Real Analysis in Mathematical Physics
Orientation: measure theory, Lebesgue integration, convergence, and probability
Differential Geometry in Physics
Exercise Solutions for Advanced Physics Textbooks
These textbooks have played an important role in my research and learning journey. I am gradually preparing solutions to selected exercises from them, with the hope that they will be useful to students and researchers alike.