WorldCat Identities

Borwein, Peter B.

Works: 31 works in 171 publications in 4 languages and 4,410 library holdings
Genres: History  Miscellanea 
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 Lennart Berggren( Book )

37 editions published between 1997 and 2010 in English and held by 872 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 )

19 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 )

18 editions published between 1995 and 2011 in English and held by 515 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 self-contained and assumes at most a senior-undergraduate 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 )

12 editions published between 1989 and 1990 in English and held by 481 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 )

16 editions published between 2002 and 2010 in English and held by 387 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 )

29 editions published between 2007 and 2011 in 3 languages and held by 258 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 )

7 editions published between 2000 and 2015 in English and Italian and held by 241 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 top-caliber 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 88 WorldCat member libraries worldwide

Computational and analytical mathematics : in honor of Jonathan Borwein's 60th Birthday by David H Bailey( Book )

8 editions published in 2013 in English and Undetermined and held by 17 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 high-caliber 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 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
Experimental and computational mathematics : selected writings by Jonathan M Borwein( Book )

1 edition published in 2010 in English and held by 12 WorldCat member libraries worldwide

Modelling in healthcare( Book )

1 edition published in 2010 in English and held by 7 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

Restricted uniform rational approximations by Peter B Borwein( Book )

2 editions published in 1979 in English and held by 2 WorldCat member libraries worldwide

Two millennia of mathematics : from Archimedes to Gauss by G. M Phillips( )

1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide

"This book is a collection of interconnected topics in areas of mathematics that particularly interest the author, ranging over the two millennia from the work of Archimedes, who died in the year 212 B.C., to the "Werke" of Gauss, who was born in 1777. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students, and the vast unseen host of amateur mathematicians. It will also be a useful source of material for those who teach mathematics."--Résumé de l'éditeur
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 pseudo-reflection groups. The third part of the book studies conjugacy classes of the elements in reflection and pseudo-reflection 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
Equations and inequalities : elementary problems and theorems in algebra and number theory by Jiří Herman( )

1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide

This book presents methods of solving problems in three areas of classical elementary mathematics: Equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are immediately followed by carefully worked out examples of increasing degrees of difficulty, and by exercises which range from routine to rather challenging problems. While this book emphasizes some methods that are not usually covered in beginning university courses, it nevertheless teaches techniques and skills which are useful not only in the specific topics covered here. There are approximately 330 examples and 760 exercises
Dynamical systems in population biology by Xiao-Qiang Zhao( )

1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide

The conjoining of nonlinear dynamics and biology has brought about significant advances in both areas, with nonlinear dynamics providing a tool for understanding biological phenomena and biology stimulating developments in the theory of dynamical systems. This research monograph provides an introduction to the theory of nonautonomous semiflows with applications to population dynamics. It develops dynamical system approaches to various evolutionary equations such as difference, ordinary, functional, and partial differential equations, and pays more attention to periodic and almost periodic phenomena. The presentation includes persistence theory, monotone dynamics, periodic and almost periodic semiflows, traveling waves, and global analysis of typical models in population biology. Research mathematicians working with nonlinear dynamics, particularly those interested in applications to biology, will find this book useful. It may also be used as a textbook or as supplementary reading for a graduate special topics course on the theory and applications of dynamical systems. Dr. Xiao-Qiang Zhao is a professor in applied mathematics at Memorial University of Newfoundland, Canada.; His main research interests involve applied dynamical systems, nonlinear differential equations, and mathematical biology. He is the author of more than 40 papers and his research has played an important role in the development of the theory of periodic and almost periodic semiflows and their applications
Combinatorial methods : free groups, polynomials and free algebras by Alexander A Mikhalev( )

1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide

"This book divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras"--Jacket
17 lectures on Fermat numbers : from number theory to geometry by M Křížek( )

1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide

French mathematician Pierre de Fermat became most well known for his pioneering work in the area of number theory. His work with numbers has been attracting the attention of amateur and professional mathematicians for over 350 years. This book was written in honor of the 400th anniversary of his birth and is based on a series of lectures given by the authors. The purpose of this book is to provide readers with an overview of the many properties of Fermat numbers and to demonstrate their numerous appearances and applications in areas such as number theory, probability theory, geometry, and signal processing. This book introduces a general mathematical audience to basic mathematical ideas and algebraic methods connected with the Fermat numbers and will provide invaluable reading for the amateur and professional alike. Michal Krizek is a senior researcher at the Mathematical Institute of the Academy of Sciences of the Czech Republic and Associate Professor in the Department of Mathematics and Physics at Charles University in Prague. Florian Luca is a researcher at the Mathematical Institute of the UNAM in Morelia, Mexico. Lawrence Somer is a Professor of Mathematics at The Catholic University of America in Washington, D.C
Abelian groups and representations of finite partially ordered sets by David M Arnold( )

1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide

A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible. David M. Arnold is the Ralph and Jean Storm Professor of Mathematics at Baylor University. He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals. His research interests are in abelian group theory and related topics, such as representations of partially ordered sets and modules over discrete valuation rings, subrings of algebraic number fields, and pullback rings. He received his Ph. D. from the University of Illinois, Urbana and was a member of the faculty at New Mexico State University for many years
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Pi and the AGM : a study in analytic number theory and computational complexity
Alternative Names
Borwein, Peter.

Borwein, Peter 1953-

Borwein, Peter B.

Borwein, Peter Benjamin

Peter Borwein Canadees wiskundige

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

Peter Borwein matemático canadiense

Peter Borwein mathématicien canadien


Pi and the AGM : a study in analytic number theory and computational complexityPolynomials and polynomial inequalitiesComputational Excursions in analysis and number theoryThe Riemann hypothesis : a resource for the afficionado and virtuoso alikeModelling in healthcareExcursions in computational and Diophantine number theory