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From Analysis to Visualization - A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 (Paperback, 1st ed. 2020)
David H. Bailey, Naomi Simone Borwein, Richard P Brent, Regina S. Burachik, Judy-anne Heather Osborn, …
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R3,012
Discovery Miles 30 120
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Ships in 10 - 15 working days
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Students and researchers from all fields of mathematics are invited
to read and treasure this special Proceedings. A conference was
held 25 -29 September 2017 at Noah's On the Beach, Newcastle,
Australia, to commemorate the life and work of Jonathan M. Borwein,
a mathematician extraordinaire whose untimely passing in August
2016 was a sorry loss to mathematics and to so many members of its
community, a loss that continues to be keenly felt. A polymath,
Jonathan Borwein ranks among the most wide ranging and influential
mathematicians of the last 50 years, making significant
contributions to an exceptional diversity of areas and
substantially expanding the use of the computer as a tool of the
research mathematician. The contributions in this commemorative
volume probe Dr. Borwein's ongoing legacy in areas where he did
some of his most outstanding work: Applied Analysis, Optimization
and Convex Functions; Mathematics Education; Financial Mathematics;
plus Number Theory, Special Functions and Pi, all tinged by the
double prisms of Experimental Mathematics and Visualization,
methodologies he championed.
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From Analysis to Visualization - A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 (Hardcover, 1st ed. 2020)
David H. Bailey, Naomi Simone Borwein, Richard P Brent, Regina S. Burachik, Judy-anne Heather Osborn, …
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R3,044
Discovery Miles 30 440
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Ships in 10 - 15 working days
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Students and researchers from all fields of mathematics are invited
to read and treasure this special Proceedings. A conference was
held 25 -29 September 2017 at Noah's On the Beach, Newcastle,
Australia, to commemorate the life and work of Jonathan M. Borwein,
a mathematician extraordinaire whose untimely passing in August
2016 was a sorry loss to mathematics and to so many members of its
community, a loss that continues to be keenly felt. A polymath,
Jonathan Borwein ranks among the most wide ranging and influential
mathematicians of the last 50 years, making significant
contributions to an exceptional diversity of areas and
substantially expanding the use of the computer as a tool of the
research mathematician. The contributions in this commemorative
volume probe Dr. Borwein's ongoing legacy in areas where he did
some of his most outstanding work: Applied Analysis, Optimization
and Convex Functions; Mathematics Education; Financial Mathematics;
plus Number Theory, Special Functions and Pi, all tinged by the
double prisms of Experimental Mathematics and Visualization,
methodologies he championed.
Outstanding text for graduate students and research workers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. Many numerical examples, along with complete analysis of rate of convergence for most of the algorithms and error bounds that allow for the effect of rounding errors.
Modern Computer Arithmetic focuses on arbitrary-precision
algorithms for efficiently performing arithmetic operations such as
addition, multiplication and division, and their connections to
topics such as modular arithmetic, greatest common divisors, the
Fast Fourier Transform (FFT), and the computation of elementary and
special functions. Brent and Zimmermann present algorithms that are
ready to implement in your favourite language, while keeping a
high-level description and avoiding too low-level or
machine-dependent details. The book is intended for anyone
interested in the design and implementation of efficient
high-precision algorithms for computer arithmetic, and more
generally efficient multiple-precision numerical algorithms. It may
also be used in a graduate course in mathematics or computer
science, for which exercises are included. These vary considerably
in difficulty, from easy to small research projects, and expand on
topics discussed in the text. Solutions to selected exercises are
available from the authors.
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