Analysis (MATH-0235)

Fall 2025 · MATH 0235 · Tufts University · 3 credits · Undergraduate

Measure and integration: sigma-algebras, measurable sets and functions, Lebesgue measure and integration, Monotone/Dominated Convergence, Lp-spaces, Fubini-Tonelli theorem, bounded variation, absolute continuity, Radon Nikodym theorem, Carathéodory extension and abstract measure. Real functions and functionals: Banach spaces, Hilbert spaces, and topological vector spaces, linear functionals and representation theorems. Prerequisites: Math 135, Math 136, and graduate standing; or permission of instructor.

Course codes: MATH-0235, MATH 0235, MATH0235, MATH-235, MATH 235, MATH235

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