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Advanced Plane Geometry: some generalization in geometry
by Patrick D. Barry 2019 |

Professor Barry,
has had significant influence on the development of Mathematics in
Ireland. He did brilliant research work on complex analysis.
In
Walter Hayman's
autobiography, *My Life and Functions*,
Professor Hayman wrote that Barry was "the only student
I ever had who came to
me with a PhD problem already prepared. It was on the minimum modulus
of small integral and subharmonic functions, a subject on which Barry
became the world expert." Barry was Hayman's second research student,
and succeeded the first, Paddy Kennedy, in the chair at UCC. Thereafter he
led the Department effectively for many years, as well as contributing
in a major way to the university administration.

Possessed of deep learning, and
a strong sense of duty, he took seriously the responsibility of
university mathematicians to monitor and assist with developments in the
schools' programme. He was particularly concerned about changes to
the geometry syllabus that took place in the nineteen-sixties.
These
changes were seriously misguided. The whole sorry story is almost
unbelievable, and is documented in the 2007
Maynooth PhD thesis of Susan McDonald.
Barry was tireless and relentless
over a long period in his efforts to correct the problem.
Of his writings about school geometry, the most significant
is his book *Geometry with Trigonometry.* This text was
eventually adopted by the NCCA as the bedrock underlying the
geometry programme in the Irish secondary Mathematics syllabus.
It was a fully rigorous
text on Euclidean geometry, going substantially beyond the
schools' programme, and suitable for study by university
undergraduates. A second edition appeared in 2016,
with extra material (ISBN: 978-0-12-805066-8).

*Advanced Plane Geometry: some generalization in geometry*
is Professor Barry's second book on geometry, taking the
reader onward from the end of Geometry with Trigonometry.
Digital copies of preliminary drafts of the book
have been available for some years under the title
*Generalization of Geometry*,
on the UCC website.
Professor Barry writes: "Down the centuries many adults have studied as a
hobby further material
on the geometry
they learned at school, and derived great pleasure from this.
With the decline in study of
geometry over the last fifty years, this pool is
probably greatly reduced but I have a strong
hope that persons of this type will
notice this book and be encouraged to study it.
A major objective of the approach is to motivate in the
familiar context of Euclidean geometry
basic concepts of projective geometry."

A printed copy of the book may be ordered directly from the distributors, A pdf of the contents may also be downloaded free of charge from Lulu.com. Free download (pdf document, 10Mb)

Follow the buy-now link for further details of the book's dimensions and previews of its content.

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Updated 15-4-2019

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