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With contributions from some of the most notable experts in the
field, Performance Tuning of Scientific Applications presents
current research in performance analysis. The book focuses on the
following areas. Performance monitoring: Describes the state of the
art in hardware and software tools that are commonly used for
monitoring and measuring performance and managing large quantities
of data Performance analysis: Discusses modern approaches to
computer performance benchmarking and presents results that offer
valuable insight into these studies Performance modeling: Explains
how researchers deduce accurate performance models from raw
performance data or from other high-level characteristics of a
scientific computation Automatic performance tuning: Explores
ongoing research into automatic and semi-automatic techniques for
optimizing computer programs to achieve superior performance on any
computer platform Application tuning: Provides examples that show
how the appropriate analysis of performance and some deft changes
have resulted in extremely high performance Performance analysis
has grown into a full-fledged, sophisticated field of empirical
science. Describing useful research in modern performance science
and engineering, this book helps real-world users of parallel
computer systems to better understand both the performance vagaries
arising in scientific applications and the practical means for
improving performance. Read about the book on HPCwire and insideHPC
New mathematical insights and rigorous results are often gained
through extensive experimentation using numerical examples or
graphical images and analyzing them. Today computer experiments are
an integral part of doing mathematics. This allows for a more
systematic approach to conducting and replicating experiments. The
authors address the role of experimental research in the statement
of new hypotheses and the discovery of new results that chart the
road to future developments. Following the lead of Mathematics by
Experiment: Plausible Reasoning in the 21st Century this book gives
numerous additional case studies of experimental mathematics in
action, ranging from sequences, series, products, integrals,
Fourier series, zeta functions, partitions, primes and polynomials.
Some advanced numerical techniques are also presented. To get a
taste of the material presented in both books view the condensed
version.
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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, …
|
R3,044
Discovery Miles 30 440
|
Ships in 10 - 15 working days
|
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.
This book contains a compendium of 25 papers published since the
1970s dealing with pi and associated topics of mathematics and
computer science. The collection begins with a Foreword by Bruce
Berndt. Each contribution is preceded by a brief summary of its
content as well as a short key word list indicating how the content
relates to others in the collection. The volume includes articles
on actual computations of pi, articles on mathematical questions
related to pi (e.g., "Is pi normal?"), articles presenting new and
often amazing techniques for computing digits of pi (e.g., the
"BBP" algorithm for pi, which permits one to compute an arbitrary
binary digit of pi without needing to compute any of the digits
that came before), papers presenting important fundamental
mathematical results relating to pi, and papers presenting new,
high-tech techniques for analyzing pi (i.e., new graphical
techniques that permit one to visually see if pi and other numbers
are "normal"). This volume is a companion to Pi: A Source Book
whose third edition released in 2004. The present collection begins
with 2 papers from 1976, published by Eugene Salamin and Richard
Brent, which describe "quadratically convergent" algorithms for pi
and other basic mathematical functions, derived from some
mathematical work of Gauss. Bailey and Borwein hold that these two
papers constitute the beginning of the modern era of computational
mathematics. This time period (1970s) also corresponds with the
introduction of high-performance computer systems (supercomputers),
which since that time have increased relentlessly in power, by
approximately a factor of 100,000,000, advancing roughly at the
same rate as Moore's Law of semiconductor technology. This book may
be of interest to a wide range of mathematical readers; some
articles cover more advanced research questions suitable for active
researchers in the field, but several are highly accessible to
undergraduate mathematics students.
The research of Jonathan Borwein has had a profound impact on
optimization, functional analysis, operations research,
mathematical programming, number theory, and experimental
mathematics. Having authored more than a dozen books and more than
300 publications, Jonathan Borwein is one of the most productive
Canadian mathematicians ever. His research spans pure, applied, and
computational mathematics as well as high performance computing,
and continues to have an enormous impact: MathSciNet lists more
than 2500 citations by more than 1250 authors, and Borwein is one
of the 250 most cited mathematicians of the period 1980-1999. He
has served the Canadian Mathematics Community through his
presidency (2000-02) as well as his 15 years of editing the CMS
book series. Jonathan Borwein's vision and initiative have been
crucial in initiating and developing several institutions that
provide support for researchers with a wide range of scientific
interests. A few notable examples include the Centre for
Experimental and Constructive Mathematics and the IRMACS Centre at
Simon Fraser University, the Dalhousie Distributed Research
Institute at Dalhousie University, the Western Canada Research
Grid, and the Centre for Computer Assisted Research Mathematics and
its Applications, University of Newcastle. The workshops that were
held over the years in Dr. Borwein's honor attracted high-caliber
scientists from a wide range of mathematical fields. This present
volume is an outgrowth of the workshop on 'Computational and
Analytical Mathematics' held in May 2011 in celebration of Dr.
Borwein's 60th Birthday. The collection contains various
state-of-the-art research manuscripts and surveys presenting
contributions that have risen from the conference, and is an
excellent opportunity to survey state-of-the-art research and
discuss promising research directions and approaches.
With contributions from some of the most notable experts in the
field, Performance Tuning of Scientific Applications presents
current research in performance analysis. The book focuses on the
following areas. Performance monitoring: Describes the state of the
art in hardware and software tools that are commonly used for
monitoring and measuring performance and managing large quantities
of data Performance analysis: Discusses modern approaches to
computer performance benchmarking and presents results that offer
valuable insight into these studies Performance modeling: Explains
how researchers deduce accurate performance models from raw
performance data or from other high-level characteristics of a
scientific computation Automatic performance tuning: Explores
ongoing research into automatic and semi-automatic techniques for
optimizing computer programs to achieve superior performance on any
computer platform Application tuning: Provides examples that show
how the appropriate analysis of performance and some deft changes
have resulted in extremely high performance Performance analysis
has grown into a full-fledged, sophisticated field of empirical
science. Describing useful research in modern performance science
and engineering, this book helps real-world users of parallel
computer systems to better understand both the performance vagaries
arising in scientific applications and the practical means for
improving performance. Read about the book on HPCwire and insideHPC
This book contains a compendium of 25 papers published since the
1970s dealing with pi and associated topics of mathematics and
computer science. The collection begins with a Foreword by Bruce
Berndt. Each contribution is preceded by a brief summary of its
content as well as a short key word list indicating how the content
relates to others in the collection. The volume includes articles
on actual computations of pi, articles on mathematical questions
related to pi (e.g., "Is pi normal?"), articles presenting new and
often amazing techniques for computing digits of pi (e.g., the
"BBP" algorithm for pi, which permits one to compute an arbitrary
binary digit of pi without needing to compute any of the digits
that came before), papers presenting important fundamental
mathematical results relating to pi, and papers presenting new,
high-tech techniques for analyzing pi (i.e., new graphical
techniques that permit one to visually see if pi and other numbers
are "normal"). This volume is a companion to Pi: A Source Book
whose third edition released in 2004. The present collection begins
with 2 papers from 1976, published by Eugene Salamin and Richard
Brent, which describe "quadratically convergent" algorithms for pi
and other basic mathematical functions, derived from some
mathematical work of Gauss. Bailey and Borwein hold that these two
papers constitute the beginning of the modern era of computational
mathematics. This time period (1970s) also corresponds with the
introduction of high-performance computer systems (supercomputers),
which since that time have increased relentlessly in power, by
approximately a factor of 100,000,000, advancing roughly at the
same rate as Moore's Law of semiconductor technology. This book may
be of interest to a wide range of mathematical readers; some
articles cover more advanced research questions suitable for active
researchers in the field, but several are highly accessible to
undergraduate mathematics students.
The research of Jonathan Borwein has had a profound impact on
optimization, functional analysis, operations research,
mathematical programming, number theory, and experimental
mathematics. Having authored more than a dozen books and more than
300 publications, Jonathan Borwein is one of the most productive
Canadian mathematicians ever. His research spans pure, applied, and
computational mathematics as well as high performance computing,
and continues to have an enormous impact: MathSciNet lists more
than 2500 citations by more than 1250 authors, and Borwein is one
of the 250 most cited mathematicians of the period 1980-1999. He
has served the Canadian Mathematics Community through his
presidency (2000-02) as well as his 15 years of editing the CMS
book series. Jonathan Borwein's vision and initiative have been
crucial in initiating and developing several institutions that
provide support for researchers with a wide range of scientific
interests. A few notable examples include the Centre for
Experimental and Constructive Mathematics and the IRMACS Centre at
Simon Fraser University, the Dalhousie Distributed Research
Institute at Dalhousie University, the Western Canada Research
Grid, and the Centre for Computer Assisted Research Mathematics and
its Applications, University of Newcastle. The workshops that were
held over the years in Dr. Borwein's honor attracted high-caliber
scientists from a wide range of mathematical fields. This present
volume is an outgrowth of the workshop on 'Computational and
Analytical Mathematics' held in May 2011 in celebration of Dr.
Borwein's 60th Birthday. The collection contains various
state-of-the-art research manuscripts and surveys presenting
contributions that have risen from the conference, and is an
excellent opportunity to survey state-of-the-art research and
discuss promising research directions and approaches.
|
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