Mathematics Reading Group

Despite popular demand, the Mathematics reading group will not run this semester. Plans to study measure theory & the mathematical foundations of probability may come to fruition in the next semester.

Mathematics Reading Group - Session 7

Hi all,

The last session for the year will be Tuesday 14 December, 11 AM, Coombs Seminar Rm F.

The reading is Chapter 7, "Sequences & Series of Functions" from Rudin's Principles of Mathematical Analysis. Supplementary reading is Chapter 4, "Function Spaces" from Pugh's Real Mathematical Analysis. Electronic copies available upon request.

Plans are afoot to reconvene in February with a new topic - possibilities include linear algebra, measure theory & probability, point-set topology...

Contact: Stephan Kubicki (stephan.kubicki{at}anu.edu.au)

Mathematics Reading Group - Session 6

The next session will be Tuesday 7 December, 11 AM, Coombs Seminar Rm F.

The reading is Chapter 6, "Riemann-Stieltjes Integration" from Rudin's Principles of Mathematical Analysis. Supplementary reading is Chapter 7, "The Riemann Integral" from Abbott's Understanding Analysis. (Sections 7.6 and 8.1 of Abbott contain useful discussion of integration topics not discussed by Rudin). Electronic copies available upon request.

A reminder that the final session for the year is:
14/12 - Function spaces & uniform convergence

Contact: Stephan Kubicki (stephan.kubicki{at}anu.edu.au)

Mathematics Reading Group - Session 5

The next session will be Tuesday 30 November, 11 AM, Coombs Seminar Rm F.

The reading is Chapter 5, "Differentiation" from Rudin's Principles of Mathematical Analysis. Supplementary reading is Chapter 5, "The Derivative" from Abbott's Understanding Analysis. (Sections 5.4 and 5.5 of Abbott contain useful discussion of the relationship between continuity and differentiability). Electronic copies available upon request.

A reminder that the schedule for the remaining sessions is:
7/12 - Integration
14/12 - Function spaces & uniform convergence

Contact: Stephan Kubicki (stephan.kubicki{at}anu.edu.au)

Mathematics Reading Group - Session 4

The next session will be Tuesday 16 November, 11 AM, Coombs Seminar Rm F.

The reading is Chapter 4, "Continuity" from Rudin's Principles of Mathematical Analysis. Supplementary reading is Chapter 4, "Functional Limits and Continuity" from Abbott's Understanding Analysis. (The supplementary reading is especially useful for the section on discontinuities). Electronic copies available upon request.

The schedule for the remaining sessions is:
30/11 - Differentiation
7/12 - Integration
14/12 - Function spaces & uniform convergence

Contact: Stephan Kubicki (stephan.kubicki{at}anu.edu.au)

Mathematics Reading Group - Session 3

The third meeting of the Mathematics Reading Group is Tuesday 26 October, 11 AM, Coombs Seminar Room F.

The reading is Chapter 3, "Numerical Sequences and Series", from Walter Rudin's Principles of Mathematical Analysis - but we'll only be looking at pages 47--58.

Supplementary reading is Chapter 2, "Sequences and Series", from Stephen Abbott's Understanding Analysis. (It's highly recommended that you read section 2.2 before starting on Rudin).

Shameless advertising: if you didn't know what the hell your maths teachers were on about with the epsilon-delta definition of limits, then this is the session to clear all that up!

Contact: Stephan Kubicki (stephan.kubicki{at}anu.edu.au)

Mathematics Reading Group - Meeting 2

The second meeting of the Mathematics Reading Group is Tuesday 12 October, 11 AM, Coombs Seminar Room F.

The reading is Chapter 2, "Basic Topology", from Walter Rudin's Principles of Mathematical Analysis. (With a focus on the sections "Metric Spaces" and "Compact Sets").

Supplementary readings are Chapters 2 and 3, "Sequences and Series" and "Basic Topology of R" from Stephen Abbott's Understanding Analysis.

Contact: Stephan Kubicki (stephan.kubicki{at}anu.edu.au)

Mathematics Reading Group

The Mathematics Reading Group is intended for those who have not had a rigorous tertiary education in mathematics (or those who have, but a while ago) and want to brush up on their mathematical knowledge and competence. (Although, given the time constraints, we emphasise conceptual understanding over technique). The readings are from textbooks in central areas of mathematics. The first incarnation of this group worked through the basics of analysis; future incarnations of the group may study algebra, number theory, geometry. The aim is to make the group accessible to people with a wide variety of previous mathematical experience, so there are no specific prerequisites - just a willingness to work through proofs in some detail. We meet semi-regularly (roughly every two weeks). This group will not be running during the first semester of 2011.

Contact: Stephan Kubicki (stephan.kubicki{at}anu.edu.au)