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An introduction to those parts of modern analysis essential for many aspects of pure and applied mathematics, physics, economics and finance.
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 and theoretical economics.MATH343 provides useful background material for many 400-level courses, including Approximation Theory, Hilbert Spaces, Dynamical Systems, Real & Complex Analysis, and Topology.
Students successfully completing this course should: understand a range of basic analytic concepts; have developed a high level of competence at core analytic skills; be able to confidently apply analytic concepts in practical settings; be able to present clear and logical mathematical arguments.
(MATH120 or MATH240), and a further 15 points from (MATH201, MATH202, MATH203, MATH240, EMTH210, orEMTH211).
Students must attend one activity from each section.
Gunter Steinke
Mingfeng Qiu
Fortnightly assignments. To obtain a pass (C- or better), you must obtain at least 40% in the exam.
Cohen, Graeme Laurence; A course in modern analysis and its applications ; Cambridge University Press, 2003.
Shirali, Satish , Vasudeva, Harkrishan L; Metric spaces ; Springer, 2006.
General information for students Library portal LEARN
Domestic fee $847.00
International fee $4,988.00
* 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 .