EAN: 9783030420840

AN INTRODUCTION TO ANALYTIC FUNCTIONS - JOHN SH...

When first published in 1959  this book was the basis of a two-semester course in complex
analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the
Socratic  or do-it-yourself method of learning mathematics  in which students are encouraged to
engage in mathematical problem solving  including theorems at every level which are often
regarded as too difficult for students to prove for themselves. Accordingly  Mac Nerney
provides no proofs. What he does instead is to compose and arrange the investigation in his own
unique style  so that a contextual proof is always available to the persistent student who
enjoys a challenge. The central idea is to empower students by allowing them to discover and
rely on their own mathematical abilities. This text may be used in a variety of settings 
including: the usual classroom or seminar  but with the teacher acting mainly as a moderator
while the students present their discoveries  a small-group setting in which the students
present their discoveries to each other  and independent study. The Editors  William E. Kaufman
(who was Mac Nerney's last PhD student) and Ryan C. Schwiebert  have composed the original
typed Work into LaTeX   they have updated the notation  terminology  and some of the prose for
modern usage  but the organization of content has been strictly preserved. About this Book 
some new exercises  and an index have also been added.

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