Borwein, Jonathan M.
Overview
Works:  111 works in 567 publications in 5 languages and 11,712 library holdings 

Genres:  Dictionaries Conference papers and proceedings Interactive multimedia 
Roles:  Author, Editor, Adapter, Other, Honoree 
Publication Timeline
.
Most widely held works by
Jonathan M Borwein
Mathematics by experiment : plausible reasoning in the 21st century by
Jonathan M Borwein(
Book
)
31 editions published between 2003 and 2008 in English and held by 1,163 WorldCat member libraries worldwide
"Using examples that truly represent the experimental methodology, this book provides the historical context of, and rationale behind, experimental mathematics. It shows how today, the use of advanced computing technology provides, mathematicians with an amazing, previously unimaginable "laboratory," in which examples can be analyzed, new ideas tested, and patterns discovered." "This is a perfect introduction to the history and current state of research and technology in the growing field of experimental mathematics."Jacket
31 editions published between 2003 and 2008 in English and held by 1,163 WorldCat member libraries worldwide
"Using examples that truly represent the experimental methodology, this book provides the historical context of, and rationale behind, experimental mathematics. It shows how today, the use of advanced computing technology provides, mathematicians with an amazing, previously unimaginable "laboratory," in which examples can be analyzed, new ideas tested, and patterns discovered." "This is a perfect introduction to the history and current state of research and technology in the growing field of experimental mathematics."Jacket
Pi, a source book by
Lennart Berggren(
Book
)
37 editions published between 1997 and 2010 in English and held by 1,024 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
37 editions published between 1997 and 2010 in English and held by 1,024 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
Convex analysis and nonlinear optimization : theory and examples by
Jonathan M Borwein(
)
33 editions published between 2000 and 2010 in English and held by 967 WorldCat member libraries worldwide
"This book is a concise account of convex analysis, its applications and extensions, for a broad audience. Blurring as it does the distinctions between mathematical optimization and modern analysis, the elegant language of convexity and duality is indispensable both in computational optimization and for understanding variational properties of functions and multifunctions. Primarily aimed at firstyear graduate students, the text consists of short, selfcontained sections, each followed by an extensive set of exercises, many of which are guided. The book is thus appropriate either as a class text or for selfstudy."Jacket
33 editions published between 2000 and 2010 in English and held by 967 WorldCat member libraries worldwide
"This book is a concise account of convex analysis, its applications and extensions, for a broad audience. Blurring as it does the distinctions between mathematical optimization and modern analysis, the elegant language of convexity and duality is indispensable both in computational optimization and for understanding variational properties of functions and multifunctions. Primarily aimed at firstyear graduate students, the text consists of short, selfcontained sections, each followed by an extensive set of exercises, many of which are guided. The book is thus appropriate either as a class text or for selfstudy."Jacket
An introduction to modern mathematical computing : with Mathematica by
Jonathan M Borwein(
)
33 editions published between 2011 and 2016 in English and held by 893 WorldCat member libraries worldwide
Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiberoptics and the consequent development of the modern internet; and the building of the Three ?M?s? Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation
33 editions published between 2011 and 2016 in English and held by 893 WorldCat member libraries worldwide
Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiberoptics and the consequent development of the modern internet; and the building of the Three ?M?s? Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation
Pi and the AGM : a study in analytic number theory and computational complexity by
Jonathan M Borwein(
Book
)
23 editions published between 1987 and 1998 in English and Undetermined and held by 681 WorldCat member libraries worldwide
23 editions published between 1987 and 1998 in English and Undetermined and held by 681 WorldCat member libraries worldwide
Techniques of variational analysis by
Jonathan M Borwein(
)
23 editions published between 2005 and 2010 in English and held by 660 WorldCat member libraries worldwide
Provides an account of the essential tools of infinitedimensional firstorder variational analysis. These tools are illustrated by applications in many different parts of analysis, optimization and approximation, dynamical systems, mathematical economics and elsewhere. This book is intended for a graduate level topics course and for researchers
23 editions published between 2005 and 2010 in English and held by 660 WorldCat member libraries worldwide
Provides an account of the essential tools of infinitedimensional firstorder variational analysis. These tools are illustrated by applications in many different parts of analysis, optimization and approximation, dynamical systems, mathematical economics and elsewhere. This book is intended for a graduate level topics course and for researchers
Convex functions : constructions, characterizations and counterexamples by
Jonathan M Borwein(
Book
)
14 editions published between 2009 and 2010 in English and held by 547 WorldCat member libraries worldwide
This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces
14 editions published between 2009 and 2010 in English and held by 547 WorldCat member libraries worldwide
This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces
A dictionary of real numbers by
Jonathan M Borwein(
Book
)
13 editions published between 1989 and 1990 in English and held by 523 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
13 editions published between 1989 and 1990 in English and held by 523 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
Mathematical knowledge management : 5th international conference, MKM 2006, Wokingham, UK, August 1112, 2006 : proceedings by
Jonathan M Borwein(
)
13 editions published in 2006 in English and Undetermined and held by 520 WorldCat member libraries worldwide
This book constitutes the refereed proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham, UK in August 2006 as official satellite event of the International Congress of Mathematicians, ICM 2006. The 22 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers in this volume cover the whole area of mathematical knowledge management in the intersection of mathematics, computer science, library science, and scientific publishing. The papers are organized in topical sections on proof representations, proof processing, knowledge extraction, knowledge representation, as well as systems and tools
13 editions published in 2006 in English and Undetermined and held by 520 WorldCat member libraries worldwide
This book constitutes the refereed proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham, UK in August 2006 as official satellite event of the International Congress of Mathematicians, ICM 2006. The 22 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers in this volume cover the whole area of mathematical knowledge management in the intersection of mathematics, computer science, library science, and scientific publishing. The papers are organized in topical sections on proof representations, proof processing, knowledge extraction, knowledge representation, as well as systems and tools
Experimentation in mathematics : computational paths to discovery by
Jonathan M Borwein(
Book
)
17 editions published between 2003 and 2004 in English and held by 518 WorldCat member libraries worldwide
17 editions published between 2003 and 2004 in English and held by 518 WorldCat member libraries worldwide
Number theory and related fields : in memory of Alf van der Poorten by
Jonathan M Borwein(
)
12 editions published in 2013 in English and German and held by 417 WorldCat member libraries worldwide
Collects contributions based on the proceedings of "International Number Theory Conference in Memory of Alf van der Poorten." These proceedings will presents high quality research articles and comprehensive surveys from distinguished mathematicians in order to promote number theory and related topics. The subjects of these articles and surveys are inspired by Alf van der Poorten's wide area of research interests, including number theory, continued fractions, elliptic curves and more. Number Theory and Related Fields collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 1216, 2012, at the University of Newcastle, Australia. The purpose of the conference was to commemorate the research and influence of Alf van der Poorten in number theory and in general mathematics and presented an exciting venue for promoting numbertheoretic research and graduate study in Australia. Comprehensive accounts of recent achievements in theoretical and computational number theory and its applications to cryptography and theoretical computer science were also paramount to the conference. The volume begins with a detailed academic appreciation of van der Poorten's life and work, and includes research articles written by some of the most distinguished mathematicians in the field of number theory. Contributions also include related topics that focus on the various research interests of van der Poorten, such as continued fractions and elliptic curves. Researchers in number theory and its applications will find this Proceedings of great interest
12 editions published in 2013 in English and German and held by 417 WorldCat member libraries worldwide
Collects contributions based on the proceedings of "International Number Theory Conference in Memory of Alf van der Poorten." These proceedings will presents high quality research articles and comprehensive surveys from distinguished mathematicians in order to promote number theory and related topics. The subjects of these articles and surveys are inspired by Alf van der Poorten's wide area of research interests, including number theory, continued fractions, elliptic curves and more. Number Theory and Related Fields collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 1216, 2012, at the University of Newcastle, Australia. The purpose of the conference was to commemorate the research and influence of Alf van der Poorten in number theory and in general mathematics and presented an exciting venue for promoting numbertheoretic research and graduate study in Australia. Comprehensive accounts of recent achievements in theoretical and computational number theory and its applications to cryptography and theoretical computer science were also paramount to the conference. The volume begins with a detailed academic appreciation of van der Poorten's life and work, and includes research articles written by some of the most distinguished mathematicians in the field of number theory. Contributions also include related topics that focus on the various research interests of van der Poorten, such as continued fractions and elliptic curves. Researchers in number theory and its applications will find this Proceedings of great interest
The computer as crucible : an introduction to experimental mathematics by
Jonathan M Borwein(
Book
)
18 editions published between 2008 and 2017 in English and held by 413 WorldCat member libraries worldwide
"Keith Devlin and Jonathan Browein, two wellknown mathematicians with expertise in different mathematical specialities but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics. They cover a variety of topics and examples to give the reader a good sense of the current state of play in the rapidly growing new field of experimental mathematics. The writing is clear and the explanations are enhanced by relevant historical facts and stories of mathematicians and their encounters with the field over time."Jacket
18 editions published between 2008 and 2017 in English and held by 413 WorldCat member libraries worldwide
"Keith Devlin and Jonathan Browein, two wellknown mathematicians with expertise in different mathematical specialities but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics. They cover a variety of topics and examples to give the reader a good sense of the current state of play in the rapidly growing new field of experimental mathematics. The writing is clear and the explanations are enhanced by relevant historical facts and stories of mathematicians and their encounters with the field over time."Jacket
Computational and analytical mathematics : in honor of Jonathan Borwein's 60th Birthday by
David H Bailey(
)
3 editions published in 2013 in English and held by 372 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
3 editions published in 2013 in English and held by 372 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
The HarperCollins dictionary of mathematics by
E. J Borowski(
Book
)
13 editions published between 1989 and 2006 in English and Chinese and held by 325 WorldCat member libraries worldwide
Zhe ben ci dian han kuo chun shu xue he ying yong shu xue fan chou zhong de zhuan ye shu yu, chao guo jiu qian ge ding yi he si bai fu de tu shi, shi shu xue ling yu zhong shi yong zui bian jie . bao luo zui guang bo de dan ce ci dian, kan cheng xue zi ji zhuan ye ren shi bi bei de jue jia gong ju shu
13 editions published between 1989 and 2006 in English and Chinese and held by 325 WorldCat member libraries worldwide
Zhe ben ci dian han kuo chun shu xue he ying yong shu xue fan chou zhong de zhuan ye shu yu, chao guo jiu qian ge ding yi he si bai fu de tu shi, shi shu xue ling yu zhong shi yong zui bian jie . bao luo zui guang bo de dan ce ci dian, kan cheng xue zi ji zhuan ye ren shi bi bei de jue jia gong ju shu
Lattice sums then and now by
Jonathan M Borwein(
Book
)
13 editions published in 2013 in English and held by 302 WorldCat member libraries worldwide
"The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered"
13 editions published in 2013 in English and held by 302 WorldCat member libraries worldwide
"The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered"
Multimedia tools for communicating mathematics by
Jonathan M Borwein(
Book
)
16 editions published between 2002 and 2013 in English and held by 281 WorldCat member libraries worldwide
This book on multimedia tools for communicating mathematics arose from presentations at an international workshop organized by the Centro de Matemtica e Aplicacoes Fundamentais at the University of Lisbon, in November 2000, with the collaboration of the Sonderforschungsbereich 288 at the University of Technology in Berlin, and of the Centre for Experimental and Constructive Mathematics at Simon Fraser University in Burnaby, Canada. The MTCM2000 meeting aimed at the scientific methods and algorithms at work inside multimedia tools, and it provided an overview of the range of present multimedia projects, of their limitations and the underlying mathematical problems. This book presents some of the tools and algorithms currently being used to create new ways of making enhanced interactive presentations and multimedia courses. It is an invaluable and uptodate reference book on multimedia tools presently available for mathematics and related subjects
16 editions published between 2002 and 2013 in English and held by 281 WorldCat member libraries worldwide
This book on multimedia tools for communicating mathematics arose from presentations at an international workshop organized by the Centro de Matemtica e Aplicacoes Fundamentais at the University of Lisbon, in November 2000, with the collaboration of the Sonderforschungsbereich 288 at the University of Technology in Berlin, and of the Centre for Experimental and Constructive Mathematics at Simon Fraser University in Burnaby, Canada. The MTCM2000 meeting aimed at the scientific methods and algorithms at work inside multimedia tools, and it provided an overview of the range of present multimedia projects, of their limitations and the underlying mathematical problems. This book presents some of the tools and algorithms currently being used to create new ways of making enhanced interactive presentations and multimedia courses. It is an invaluable and uptodate reference book on multimedia tools presently available for mathematics and related subjects
Dictionary of mathematics by
E. J Borowski(
Book
)
30 editions published between 1988 and 1999 in 3 languages and held by 247 WorldCat member libraries worldwide
This dictionary of mathematics contains over 9,000 definitions and 400 diagrams and covers subjects such as abstract analysis; number theory; topology; vectors; differential equations and more
30 editions published between 1988 and 1999 in 3 languages and held by 247 WorldCat member libraries worldwide
This dictionary of mathematics contains over 9,000 definitions and 400 diagrams and covers subjects such as abstract analysis; number theory; topology; vectors; differential equations and more
Pi : the next generation : a sourcebook on the recent history of Pi and its computation by
David H Bailey(
)
11 editions published between 2016 and 2018 in English and held by 243 WorldCat member libraries worldwide
"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, hightech 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 highperformance 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."Back cover
11 editions published between 2016 and 2018 in English and held by 243 WorldCat member libraries worldwide
"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, hightech 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 highperformance 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."Back cover
Tools and mathematics : instruments for learning by
John Monaghan(
)
15 editions published in 2016 in English and held by 218 WorldCat member libraries worldwide
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games
15 editions published in 2016 in English and held by 218 WorldCat member libraries worldwide
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games
Experimentelle Mathematik : eine beispielorientierte Einführung by
Jonathan M Borwein(
)
6 editions published between 2004 and 2011 in German and English and held by 184 WorldCat member libraries worldwide
Papier und Bleistift wurden lange als die einzigen Hilfsmittel der Mathematiker betrachtet (einige würden hier auch noch den Papierkorb dazuzählen). Wie in vielen anderen Gebieten auch, hat allerdings in den letzten Jahren der Einsatz von Computern in der Mathematik stark zugenommen und somit die Rolle des Experiments in der Mathematik erweitert und legitimiert. Wie können Mathematiker den Computer als Werkzeug benutzen? Und kann er vielleicht nicht nur als Werkzeug, sondern sogar als Mitarbeiter eingesetzt werden? Keith Devlin und Jonathan Borwein, zwei bekannte Mathematiker mit Expertise in unterschiedlichen mathematischen Spezialgebieten, aber mit einem gemeinsamen Interesse am Experimentieren in der Mathematik, haben sich für diese Einführung in die experimentelle Mathematik zusammengetan. Sie behandeln eine Vielfalt an Themen und Beispielen, um dem Leser einen guten Einblick in die aktuelle Entwicklung dieses rasch wachsenden neuen Gebietes zu geben. Die Darstellung ist klar und übersichtlich; die Erläuterungen sind durch historische Fakten und Geschichten von Mathematikern und deren Begegnungen mit dem Gebiet der experimentellen Mathematik angereichert. Stimme zur Originalausgabe: "Das Buch wird für jeden Leser für Interesse sein, der anhand Kostproben kennen lernen möchte, wie man mathematische Problem mit einem Computer löst. Es macht nichts, wenn die Leser nicht viele mathematische Kenntnisse mitbringen: Sie können das Wesentliche des Buchs verstehen und Spaß dabei haben, einige Fragestellungen experimentell zu erforschen." Valentina Dagienë, Zentralblatt MATH
6 editions published between 2004 and 2011 in German and English and held by 184 WorldCat member libraries worldwide
Papier und Bleistift wurden lange als die einzigen Hilfsmittel der Mathematiker betrachtet (einige würden hier auch noch den Papierkorb dazuzählen). Wie in vielen anderen Gebieten auch, hat allerdings in den letzten Jahren der Einsatz von Computern in der Mathematik stark zugenommen und somit die Rolle des Experiments in der Mathematik erweitert und legitimiert. Wie können Mathematiker den Computer als Werkzeug benutzen? Und kann er vielleicht nicht nur als Werkzeug, sondern sogar als Mitarbeiter eingesetzt werden? Keith Devlin und Jonathan Borwein, zwei bekannte Mathematiker mit Expertise in unterschiedlichen mathematischen Spezialgebieten, aber mit einem gemeinsamen Interesse am Experimentieren in der Mathematik, haben sich für diese Einführung in die experimentelle Mathematik zusammengetan. Sie behandeln eine Vielfalt an Themen und Beispielen, um dem Leser einen guten Einblick in die aktuelle Entwicklung dieses rasch wachsenden neuen Gebietes zu geben. Die Darstellung ist klar und übersichtlich; die Erläuterungen sind durch historische Fakten und Geschichten von Mathematikern und deren Begegnungen mit dem Gebiet der experimentellen Mathematik angereichert. Stimme zur Originalausgabe: "Das Buch wird für jeden Leser für Interesse sein, der anhand Kostproben kennen lernen möchte, wie man mathematische Problem mit einem Computer löst. Es macht nichts, wenn die Leser nicht viele mathematische Kenntnisse mitbringen: Sie können das Wesentliche des Buchs verstehen und Spaß dabei haben, einige Fragestellungen experimentell zu erforschen." Valentina Dagienë, Zentralblatt MATH
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Related Identities
 Bailey, David H. Author Editor
 Borwein, Peter B. Other Editor
 Berggren, J. L. Other Author Editor
 Lewis, Adrian S.
 Borowski, E. J. (Ephraim J.) Author Editor
 Skerritt, Matthew P. Creator
 Borwein, Peter B.
 Zhu, Qiji J. (Qiji Jim)
 Girgensohn, Roland 1964
 Devlin, Keith J. Author
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Administrative agencies Arabic language Artificial intelligence Automatic theorem proving Awards Banach spaces Calculus of variations College teachers Computational complexity Computer programming Computer scienceMathematics Convex functions Database management Educational assistance Elliptic functions English language Experimental mathematics French language Functional analysis Geometry, Differential Geometry, NonEuclidean Global analysis (Mathematics) Hyperspace Information storage and retrieval systems Information storage and retrieval systemsMathematics Interactive multimedia Lattice theory Lecturers Maple (Computer file) Mathematica (Computer file) Mathematical analysis Mathematical optimization Mathematics MathematicsComputerassisted instruction MathematicsData processing MathematicsExperiments MathematicsResearch MathematicsStudy and teaching Measure theory Medals Nonlinear theories Numbers, Real Number theory Operator theory Pi Research Scientists Symmetry (Mathematics) Topological groups United States
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Alternative Names
Borwein, J.
Borwein, J. (Jonathan)
Borwein, J.M.
Borwein, J.M. 1951
Borwein, J. M. (Jonathan M.), 1951
Borwein, Jonathan.
Borwein, Jonathan 1951
Borwein, Jonathan (Jonathan M.), 1951
Borwein, Jonathan M.
Borwein, Jonathan Michael 1951
Jonathan Borwein Canadees wiskundige
Jonathan Borwein canadisk matematiker
Jonathan Borwein kanadensisk matematiker
Jonathan Borwein kanadischer Mathematiker
Jonathan Borwein kanadisk matematikar
Jonathan Borwein kanadisk matematiker
Jonathan Borwein Scottish mathematician
Jonathan Borwein skót matematikus
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