Borwein, Peter B.Overview
Publication Timeline
Most widely held works about
Peter B Borwein
Most widely held works by
Peter B Borwein
Pi and the AGM : a study in analytic number theory and computational complexity
by Jonathan M Borwein
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Book
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15 editions published between 1987 and 1998 in English and held by 663 WorldCat member libraries worldwide
The Riemann hypothesis a resource for the afficionado and virtuoso alike
by Peter B Borwein
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23 editions published between 2007 and 2011 in English and Multiple languages and held by 596 WorldCat member libraries worldwide "This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture."Jacket
A dictionary of real numbers
by Jonathan M Borwein
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Book
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10 editions published between 1989 and 1990 in English and held by 504 WorldCat member libraries worldwide This dictionary was designed for researchers who have encountered various numbers computationally and want to know if these numbers have simple form. The book is structured as a reverse handbook of special function values. It lists over 100,000 eight digit real numbers in the interval (1,0) that arise as the first eight digits of special values of familiar functions
Polynomials and polynomial inequalities
by Peter B Borwein
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Book
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14 editions published between 1995 and 2013 in English and held by 496 WorldCat member libraries worldwide Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is selfcontained and assumes at most a seniorundergraduate familiarity with real and complex analysis. After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Mntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality conclude the book
Computational Excursions in analysis and number theory
by Peter B Borwein
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13 editions published between 2002 and 2010 in English and held by 392 WorldCat member libraries worldwide This book is designed for a computationally intensive graduate course based around a collection of classical unsolved extremal problems for polynomials. These problems, all of which lend themselves to extensive computational exploration, live at the interface of analysis, combinatorics and number theory so the techniques involved are diverse. A main computational tool used is the LLL algorithm for finding small vectors in a lattice. Many exercises and open research problems are included. Indeed one aim of the book is to tempt the able reader into the rich possibilities for research in this area. Peter Borwein is Professor of Mathematics at Simon Fraser University and the Associate Director of the Centre for Experimental and Constructive Mathematics. He is also the recipient of the Mathematical Association of Americas Chauvenet Prize and the Merten M. Hasse Prize for expository writing in mathematics
Pi, a source book
by Lennart Berggren
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Book
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14 editions published between 1997 and 2004 in English and held by 384 WorldCat member libraries worldwide The aim of this book is to provide a complete history of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious and sometimes the silliest aspects of mathematics, and a suprising amount of the most important mathematics and mathematicians have contributed to its unfolding. Pi is one of the few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally with the subject. Yet, despite this, no source book on pi has been published. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet still accessible, mathematics. Mathematicians and historians of mathematics will find this book indespensable. Teachers at every level from the seventh grade onward will find here ample resources for anything from special topic courses to individual talks and special student projects. The literature on pi included in this source book falls into three classes: first a selection of the mathematical literature of four millennia, second a variety of historial studies or writings on the cultural meaning and significance of the number, and third, a number of treatments on pi that are fanciful, satirical and/or whimsical
Pi, a sourcebook
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Book
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7 editions published between 1999 and 2000 in English and held by 241 WorldCat member libraries worldwide "This book documents the history of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. Much significant mathematics originates with pi, and many great mathematicians have contributed to this story's unfolding." "Mathematicians and historians of mathematics will find this book indispensable. Teachers at every level can find here ample resources for anything from individual talks and student projects to special topics courses."BOOK JACKET
Pi, a source book
by Lennart Berggren
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Book
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11 editions published between 2000 and 2010 in English and held by 216 WorldCat member libraries worldwide "This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein include selections from the mathematical and computational literature over four millennia, a variety of historical studies on the cultural significance of the number, and an assortment of anecdotal, fanciful, and simply amusing pieces. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, new translations of works by Viete and Huygen, as well as Kaplansky's neverbeforepublished 'Song of Pi.'"Publisher's website
On the rapid computation of various polylogarithmic constants
by David H Bailey
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Book
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1 edition published in 1996 in English and held by 78 WorldCat member libraries worldwide
Computational and analytical mathematics : in honor of Jonathan Borwein's 60th Birthday
by David H Bailey
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5 editions published in 2013 in English and held by 31 WorldCat member libraries worldwide 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, Dr. 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 2002) 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 highcaliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop entitled Computational and Analytical Mathematics, held in May 2011 in celebration of Jonathan Borwein's 60th Birthday. The collection contains various stateoftheart research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey stateoftheart research and discuss promising research directions and approaches
Experimental and computational mathematics : selected writings
by Jonathan M Borwein
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Book
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1 edition published in 2010 in English and held by 9 WorldCat member libraries worldwide
Modelling in healthcare
by Simon Fraser University
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Book
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1 edition published in 2010 in English and held by 9 WorldCat member libraries worldwide A model is a simplified representation of a realworld situation used to help answer a specific question. This book provides a look into the world of modelling with the focus on modelling in healthcare.[from preface]
Reflection groups and invariant theory
by Richard M Kane
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1 edition published in 2001 in English and held by 8 WorldCat member libraries worldwide Reflection Groups and their invariant theory provide the main themes of this book and the first two parts focus on these topics. The first 13 chapters deal with reflection groups (Coxeter groups and Weyl groups) in Euclidean Space while the next thirteen chapters study the invariant theory of pseudoreflection groups. The third part of the book studies conjugacy classes of the elements in reflection and pseudoreflection groups. The book has evolved from various graduate courses given by the author over the past 10 years. It is intended to be a graduate text, accessible to students with a basic background in algebra. Richard Kane is a professor of mathematics at the University of Western Ontario. His research interests are algebra and algebraic topology. Professor Kane is a former President of the Canadian Mathematical Society
Excursions in computational and Diophantine number theory
by Peter B Borwein
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Book
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2 editions published in 2002 in English and held by 7 WorldCat member libraries worldwide
Pi and the AGM : a study in analyt. number theory and computational complexity
by Jonathan M Borwein
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Book
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1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
Momentmatching and best entropy estimation
by Peter B Borwein
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Book
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1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
Restricted uniform rational approximations
by Peter B Borwein
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Book
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2 editions published in 1979 in English and held by 2 WorldCat member libraries worldwide
The product [pi] j=1 [to] n(1xa̳j̳)
by J Bell
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Book
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1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Pi and the AGM : a study analytic number theory and computational complexity
by Jonathan M Borwein
(
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
A Survey of sylvester's problem and its generalizations
by Peter B Borwein
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Book
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1 edition published in 1985 in English and held by 1 WorldCat member library worldwide more
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Associated Subjects
Algorithms Approximation theory Authors Awards Canada Circlesquaring College teachers Computational complexity Convex programming Diophantine analysis Duality theory (Mathematics) Educational assistance Elliptic functions Estimation theory Executives Experimental mathematics Functional analysis Geometry Global analysis (Mathematics) Inequalities (Mathematics) Invariants Logarithms Mathematical analysis Mathematics MathematicsData processing Modeling Numbers, Prime Numbers, Real Number theory Numerical analysis Operator theory Partitions (Mathematics) Pi Polynomials Reflection groups Research Riemann, Bernhard, Riemann hypothesis Scientists Transcendental functions United States

Alternative Names
Borwein, Peter.
Borwein, Peter B.
Borwein, Peter Benjamin
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