MATH420-17S2 (C) Semester Two 2017

Hilbert Spaces

15 points

Details:
Start Date: Monday, 17 July 2017
End Date: Sunday, 19 November 2017
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 28 July 2017
  • Without academic penalty (including no fee refund): Friday, 13 October 2017

Description

Hilbert Spaces

The theory of Hilbert spaces is fundamental in many areas of modern mathematical analysis, having a clear and easy-to-grasp geometric structure, just like Euclidean spaces. However, unlike Euclidean spaces, Hilbert spaces may be infinite dimensional. The course will be self-contained, introducing important spaces (especially L2(m)), operators on them, and basic spectral theory. Prior exposure to MATH343 would be an asset, but is not mandatory.


For a full list of Honours courses, please refer to the School of Mathematics and Statistics Honours Booklet Mathematics and Statistics Honours Booklet

Prerequisites

Subject to approval of the Head of School.

Course Coordinator

Hannes Diener

Assessment

Assessment Due Date Percentage 
Take home test 1 30%
Take home test 2 30%
Final Test 40%

Textbooks / Resources

There is no set textbook for the course. Lecture notes will be made available in pdf format on the Math 420 Learn webpage.

Recommended further reading includes:
• G.F. Sim- mons (1963) Introduction to topology and modern analysis;
• W. Rudin (1973) Functional analysis;
• W. Rudin (1987) Real and Complex Analysis.

Indicative Fees

Domestic fee $932.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH420 Occurrences

  • MATH420-17S2 (C) Semester Two 2017