MATH410-12S2 (C)
Approximation Theory
This is a semester two course.
Course Information
The first part of this course will concentrate on the fundamentals of approximation of functions of one variable. Central topics will be approximation by algebraic and trigonometric polynomials, and the existence, characterisation and uniqueness of best approximations from finite dimensional normed linear spaces.
In the latter part of the course we will develop some more recent topics such as smoothest interpolation of functions of several variables and computational geometry in 3D.
Approximation Theory lies at the interface of many specialties. As such its study involves an interesting mix of pure and applied mathematics, numerical analysis and advanced computation.
Recent applications of Approximation Theory here at Canterbury include fitting surfaces to noisy point clouds applied, for example, to the manufacture of artificial limbs, and, fitting geophysical data sets such as grade measurements from drill holes in mines.
Enquiries
Assoc. Prof. Rick Beatson
Room 602 Erskine Building
Phone Extension 3825
Homepage