Borwein, Peter B.
Overview
Works:  24 works in 149 publications in 2 languages and 4,093 library holdings 

Genres:  History 
Roles:  Author, Editor, Other 
Classifications:  QA241, 512.7 
Publication Timeline
.
Most widely held works about
Peter B Borwein
Most widely held works by
Peter B Borwein
Pi, a source book by
J. L Berggren(
Book
)
36 editions published between 1997 and 2010 in English and held by 854 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."Jacket
36 editions published between 1997 and 2010 in English and held by 854 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."Jacket
Pi and the AGM : a study in analytic number theory and computational complexity by
Jonathan M Borwein(
Book
)
20 editions published between 1987 and 1998 in English and held by 681 WorldCat member libraries worldwide
20 editions published between 1987 and 1998 in English and held by 681 WorldCat member libraries worldwide
Polynomials and polynomial inequalities by
Peter B Borwein(
Book
)
16 editions published between 1995 and 2013 in English and held by 511 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
16 editions published between 1995 and 2013 in English and held by 511 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
A dictionary of real numbers by
Jonathan M Borwein(
Book
)
11 editions published between 1989 and 1990 in English and held by 482 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
11 editions published between 1989 and 1990 in English and held by 482 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
Computational Excursions in analysis and number theory by
Peter B Borwein(
Book
)
15 editions published between 2002 and 2010 in English and held by 385 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
15 editions published between 2002 and 2010 in English and held by 385 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
The Riemann hypothesis : a resource for the afficionado and virtuoso alike by
Peter B Borwein(
Book
)
22 editions published between 2007 and 2011 in English and Multiple languages and held by 245 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
22 editions published between 2007 and 2011 in English and Multiple languages and held by 245 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
Mathematicians on creativity by
Peter B Borwein(
Book
)
5 editions published between 2014 and 2015 in English and held by 194 WorldCat member libraries worldwide
"This book aims to shine a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from topcaliber working mathematicians. In their own words, they discuss the art and practice of their work. This approach highlights creative components of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work."Page 4 of cover
5 editions published between 2014 and 2015 in English and held by 194 WorldCat member libraries worldwide
"This book aims to shine a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from topcaliber working mathematicians. In their own words, they discuss the art and practice of their work. This approach highlights creative components of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work."Page 4 of cover
On the rapid computation of various polylogarithmic constants by
David H Bailey(
Book
)
1 edition published in 1996 in English and held by 87 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 87 WorldCat member libraries worldwide
Computational and analytical mathematics : in honor of Jonathan Borwein's 60th Birthday by
David H Bailey(
Book
)
6 editions published in 2013 in English and held by 14 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
6 editions published in 2013 in English and held by 14 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(
Book
)
1 edition published in 2010 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 11 WorldCat member libraries worldwide
Excursions in computational and Diophantine number theory by
Peter B Borwein(
Book
)
2 editions published in 2002 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 6 WorldCat member libraries worldwide
Modelling in healthcare by
Simon Fraser University(
Book
)
1 edition published in 2010 in English and held by 6 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]
1 edition published in 2010 in English and held by 6 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]
Restricted uniform rational approximations by
Peter B Borwein(
Book
)
2 editions published in 1979 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 2 WorldCat member libraries worldwide
Momentmatching and best entropy estimation by
Peter B Borwein(
Book
)
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
The product [pi] j=1 [to] n(1xa̳j̳) by J Bell(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Lower bounds for the number of zeros of cosine polynomials in the period : a problem of Littlewood by
Peter B Borwein(
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
The Riemann hypothesis : a resource for the afficionado and virtuosos alike(
Book
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Reflection groups and invariant theory by
Richard M Kane(
)
1 edition published in 2001 in English and held by 0 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
1 edition published in 2001 in English and held by 0 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
The Riemann Hypothesis a Resource for the Af?cionado and Virtuoso Alike. CMS Books in Mathematics(
)
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Borwein, Jonathan M. Other Honoree Author Editor
 Berggren, J. L. Other Author Editor
 Riemann, Bernhard 18261866
 Erdélyi, Tamás
 Liljedahl, Peter 1967 Editor
 Zhai, Helen Editor
 Bailey, David H. Author Editor
 United States National Aeronautics and Space Administration
 Plouffe, Simon
 Weirathmueller, Andrea Editor
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Associated Subjects
Algebra Algorithms Approximation theory Authors Awards Canada College teachers Combinatorial analysis Computational complexity Convex programming Creative ability in science 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 MathematicsPhilosophy 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 1953
Borwein, Peter B.
Borwein, Peter Benjamin
Peter Borwein Canadian mathematician
Peter Borwein canadisk matematiker
Peter Borwein kanadensisk matematiker
Peter Borwein kanadischer Mathematiker
Peter Borwein kanadisk matematikar
Peter Borwein kanadisk matematiker
Peter Borwein matematico canadese
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