By Tim Cranny, John Hutchinson (Eds.)

An academic Workshop on research and Geometry used to be held on the Australian nationwide collage among the twenty third January and the tenth February, 1995. Over 100 humans attended, with greater than twenty universities represented. the vast majority of members have been Australian PhD scholars, yet there have been additionally scholars from Germany, New Zealand, Japan and Taiwan. Twenty-five Australian and over-seas audio system participated.

The intent at the back of the Workshop was once to assist rectify an incompleteness within the coursework fabric on hand to so much arithmetic study scholars in Australia. It was once meant that somebody attending the introductory first week of the workshop will be uncovered to the various principles and strategies primary to fashionable research and geometry, whereas those that attended all 3 weeks may achieve an summary as much as present examine degrees. The Workshop used to be designed with examine scholars in brain, yet used to be additionally meant for proven mathematicians operating in different fields.

The workshop consisted of a few wide streams, every one beginning at an introductory point and turning into extra specialized within the later weeks. there have been 5 one-hour lectures each one day.

Notes have been ready by means of the audio system and have been allotted ahead of the lectures. The powerful call for for those notes has led us to gather them the following in 3 volumes, which we have now organised on a topic foundation. quantity One bargains essentially with Partial Differential Equations, quantity with Differential Geometry and Geometric degree idea, and quantity 3 covers issues from Harmonic research and Nonlinear research.

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