MATH343-12S1 (C)
Metric, Normed and Hilbert Spaces
This is a semester one course worth 15 points.
Course Information
An introductory course into the parts of modern mathematics that arise from the idea of distance in finite and infinite dimensions. It is useful in understanding numerical algorithms, the basis of calculus, approximation methods, and the theoretical underpinnings of quantum mechanics.
MATH343 is a course in metric space theory. It is designed for students who have two courses from MATH201, MATH202, MATH203, and MATH240, or a similar background. It explores the idea of distance, and uses it to define convergence, continuity, and related concepts.
Learning outcomes
This course will:
• develop metric space theory and its applications including convergence, open and closed sets, completeness, and compactness
• look at standard infinite dimensional spaces and the similarities and differences between them and finite dimensional spaces
• introduce normed and Hilbert spaces
Enquiries
Dr Chris Price
Room 601 Erskine Building
Phone Extension 7682