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2017-1: Analysis One
by Anthony G. O'Farrell.
COVER AUTHOR


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Anthony G. O'Farrell was born in Dublin, Ireland, and grew up in County Tipperary before returning to Dublin. He worked in the Irish Meteorological Service from 1964 to 1968. For most of that time he was a student of Mathematical Science at University College, Dublin, where he was particularly influenced by P.G. Gormley, who turned him decisively to analysis, particularly complex analysis. Resigning from the Meteorological Service to devote himself to Mathematics, he was further influenced by T. J. Laffey and E. C. Schlesinger, and decided to continue his studies in the United States. At Brown University, his horizons were expanded by H. Federer, B. Harris, A. Browder, J. Wermer, B. Cole, W. Fulton and A. Landman, among others, and his subsequent work focussed mainly on algebraic and geometric aspects of real and complex analysis. In 1975, after two years at the University of California at Los Angeles, he was appointed Professor of Mathematics at Maynooth College, He was elected to the Royal Irish Academy in 1980. While engaged in teaching, research and administration at Maynooth, he contributed to the mathematical and scientific community in Ireland and abroad, and visited research institutes and universities in Canada, France, Germany, India, Israel, Japan, Russia, Sweden, Spain, the UK and USA, as well as speaking at many international conferences and collaborating with many researchers.

Now Professor Emeritus of Maynooth University, he devotes himself to research, writing and pro-bono activities, as well as a modicum of outdoor activity and cultural pursuits. He is married, with three surviving children and seven grandchildren.


From the Preface:

This book introduces the elements of the theory of real-valued functions of a real variable. The book is aimed at young mathematicians and others who would like to see a coherent account of basic analysis as a rigorous mathematical theory. It aims to avoid various extremes:
(1) It does not brush any of the serious difficulties in analysis proper under the carpet. The reader is assumed to be bright, and willing to work hard.
(2) It does not dwell on routine stuff. The reader has probably already taken a non-rigorous calculus course, and does not need to be led through that material again.

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Updated 11-7-2017
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