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Gathered from the 2016 Gainesville Number Theory Conference
honoring Krishna Alladi on his 60th birthday, these proceedings
present recent research in number theory. Extensive and detailed,
this volume features 40 articles by leading researchers on topics
in analytic number theory, probabilistic number theory,
irrationality and transcendence, Diophantine analysis, partitions,
basic hypergeometric series, and modular forms. Readers will also
find detailed discussions of several aspects of the path-breaking
work of Srinivasa Ramanujan and its influence on current research.
Many of the papers were motivated by Alladi's own research on
partitions and q-series as well as his earlier work in number
theory. Alladi is well known for his contributions in number theory
and mathematics. His research interests include combinatorics,
discrete mathematics, sieve methods, probabilistic and analytic
number theory, Diophantine approximations, partitions and q-series
identities. Graduate students and researchers will find this volume
a valuable resource on new developments in various aspects of
number theory.
Gathered from the 2016 Gainesville Number Theory Conference
honoring Krishna Alladi on his 60th birthday, these proceedings
present recent research in number theory. Extensive and detailed,
this volume features 40 articles by leading researchers on topics
in analytic number theory, probabilistic number theory,
irrationality and transcendence, Diophantine analysis, partitions,
basic hypergeometric series, and modular forms. Readers will also
find detailed discussions of several aspects of the path-breaking
work of Srinivasa Ramanujan and its influence on current research.
Many of the papers were motivated by Alladi's own research on
partitions and q-series as well as his earlier work in number
theory. Alladi is well known for his contributions in number theory
and mathematics. His research interests include combinatorics,
discrete mathematics, sieve methods, probabilistic and analytic
number theory, Diophantine approximations, partitions and q-series
identities. Graduate students and researchers will find this volume
a valuable resource on new developments in various aspects of
number theory.
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.
Partitions, q-Series, and Modular Forms contains a collection of
research and survey papers that grew out of a Conference on
Partitions, q-Series and Modular Forms at the University of
Florida, Gainesville in March 2008. It will be of interest to
researchers and graduate students that would like to learn of
recent developments in the theory of q-series and modular and how
it relates to number theory, combinatorics and special functions.
Partitions, q-Series, and Modular Forms contains a collection of
research and survey papers that grew out of a Conference on
Partitions, q-Series and Modular Forms at the University of
Florida, Gainesville in March 2008. It will be of interest to
researchers and graduate students that would like to learn of
recent developments in the theory of q-series and modular and how
it relates to number theory, combinatorics and special functions.
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.
MAPLE is a very powerful computer algebra system used by students, educators, mathematicians, statisticians, scientists, and engineers for doing numerical and symbolic computations. Greatly expanded and updated from the author's MAPLE V Primer, The MAPLE Book offers extensive coverage of the latest version of this outstanding software package, MAPLE 7.0
The MAPLE Book serves both as an introduction to MAPLE and as a reference. Organized according to level and subject area of mathematics, it first covers the basics of high school algebra and graphing, continues with calculus and differential equations then moves on to more advanced topics, such as linear algebra, vector calculus, complex analysis, special functions, group theory, number theory and combinatorics. The MAPLE Book includes a tutorial for learning the MAPLE programming language. Once readers have learned how to program, they will appreciate the real power of MAPLE.
The convenient format and straightforward style of The MAPLE Book let users proceed at their own pace, practice with the examples, experiment with graphics, and learn new functions as they need them. All of the MAPLE commands used in the book are available on the Internet, as are links to various other files referred to in the book. Whatever your level of expertise, you'll want to keep The MAPLE Book next to your computer.
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