Sandifer, Charles Edward 1951
Overview
Works:  19 works in 100 publications in 2 languages and 3,170 library holdings 

Genres:  History Miscellanea Biography Criticism, interpretation, etc Records and correspondence 
Roles:  Author, Editor, Translator 
Classifications:  QA29.E8, 510 
Publication Timeline
.
Most widely held works by
Charles Edward Sandifer
How Euler did it by
Charles Edward Sandifer(
Book
)
9 editions published in 2007 in English and held by 464 WorldCat member libraries worldwide
How Euler Did It is a collection of 40 monthly columns that appeared on MAA Online between November 2003 and February 2007 about the mathematical and scientific work of the great 18th century Swiss mathematician Leonhard Euler. Almost every column is selfcontained and gives the context, significance and some of the details of a particular facet of his work. Professor Sandifer based his columns on Euler's own words in the original language in which they were written. In this way, the author was able to uncover many details that are not found in other sources. For example, we see how Euler used differential equations and continued fractions to prove that the constant e is irrational, several years before Lambert, who is usually credited with this discovery. Euler also made an observation equivalent to saying that the number of primes less than a number x is approximately x/Inx, an observation usually attributed to Gauss some 15 years after Euler died. The collection ends with a somewhat playful, but factual, account of Euler's role in the discovery on America.  Publisher
9 editions published in 2007 in English and held by 464 WorldCat member libraries worldwide
How Euler Did It is a collection of 40 monthly columns that appeared on MAA Online between November 2003 and February 2007 about the mathematical and scientific work of the great 18th century Swiss mathematician Leonhard Euler. Almost every column is selfcontained and gives the context, significance and some of the details of a particular facet of his work. Professor Sandifer based his columns on Euler's own words in the original language in which they were written. In this way, the author was able to uncover many details that are not found in other sources. For example, we see how Euler used differential equations and continued fractions to prove that the constant e is irrational, several years before Lambert, who is usually credited with this discovery. Euler also made an observation equivalent to saying that the number of primes less than a number x is approximately x/Inx, an observation usually attributed to Gauss some 15 years after Euler died. The collection ends with a somewhat playful, but factual, account of Euler's role in the discovery on America.  Publisher
The early mathematics of Leonhard Euler by
Charles Edward Sandifer(
Book
)
8 editions published in 2007 in English and held by 438 WorldCat member libraries worldwide
"The Early Mathematics of Leonhard Euler describes Euler's early mathematical works: the 50 mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These works contain some of Euler's greatest mathematics: the Konigsburg bridge problem, his solution to the Basel problem, his first proof of the EulerFermat theorem. It also presents important results that we seldom realize are due to Euler: that mixed partial derivatives are equal, our f(x) notation, and the integrating factor in differential equations. The book provides some of the way mathematics is actually done. For example, Euler found partial results towards the EulerFermat theorem well before he discovered a proof of the Fermat theorem itself, and the EulerFermat version came 30 years later, beyond the scope of this book. The book shows how results in diverse fields are related, how number theory relates to series, which, in turn relate to elliptic integrals and then to differential equations, There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from his first work on differential equations as an 18year old student, a paper with a serious flaw in it, to the most celebrated mathematician and scientist of his times, when, at the age of 34, he was lured away like a superstar athlete might be traded today. The book is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail. Woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context."Publisher's website
8 editions published in 2007 in English and held by 438 WorldCat member libraries worldwide
"The Early Mathematics of Leonhard Euler describes Euler's early mathematical works: the 50 mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These works contain some of Euler's greatest mathematics: the Konigsburg bridge problem, his solution to the Basel problem, his first proof of the EulerFermat theorem. It also presents important results that we seldom realize are due to Euler: that mixed partial derivatives are equal, our f(x) notation, and the integrating factor in differential equations. The book provides some of the way mathematics is actually done. For example, Euler found partial results towards the EulerFermat theorem well before he discovered a proof of the Fermat theorem itself, and the EulerFermat version came 30 years later, beyond the scope of this book. The book shows how results in diverse fields are related, how number theory relates to series, which, in turn relate to elliptic integrals and then to differential equations, There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from his first work on differential equations as an 18year old student, a paper with a serious flaw in it, to the most celebrated mathematician and scientist of his times, when, at the age of 34, he was lured away like a superstar athlete might be traded today. The book is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail. Woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context."Publisher's website
Euler at 300 : an appreciation by
Robert E Bradley(
Book
)
9 editions published in 2007 in English and Spanish and held by 377 WorldCat member libraries worldwide
"Leonhard Euler (17071783) was the most important mathematician of the 18th century. His collected works, which number more than 800 books and articles, fill over 70 large volumes. He revolutionised real analysis and mathematical physics, singlehandedly established the field of analytic number theory, and made important contributions to almost every other branch of mathematics. A great pedagogue as well as a great researcher, his textbooks educated the next generation of mathematicians. This book compiles over 20 papers, based on some of the most memorable contributions from mathematicians and historians of mathematics at academic meetings across the USA and Canada, in the years approaching Leonhard Euler's tercentenary. These papers will appeal not only to those who already have an interest in the history of mathematics, but will also serve as a compelling introduction to the subject, focused on the accomplishments of one of the greatest mathematical minds of all time"Publisher description
9 editions published in 2007 in English and Spanish and held by 377 WorldCat member libraries worldwide
"Leonhard Euler (17071783) was the most important mathematician of the 18th century. His collected works, which number more than 800 books and articles, fill over 70 large volumes. He revolutionised real analysis and mathematical physics, singlehandedly established the field of analytic number theory, and made important contributions to almost every other branch of mathematics. A great pedagogue as well as a great researcher, his textbooks educated the next generation of mathematicians. This book compiles over 20 papers, based on some of the most memorable contributions from mathematicians and historians of mathematics at academic meetings across the USA and Canada, in the years approaching Leonhard Euler's tercentenary. These papers will appeal not only to those who already have an interest in the history of mathematics, but will also serve as a compelling introduction to the subject, focused on the accomplishments of one of the greatest mathematical minds of all time"Publisher description
Cauchy's Cours d'analyse : an annotated translation by
Augustin Louis Cauchy(
Book
)
14 editions published in 2009 in English and held by 182 WorldCat member libraries worldwide
Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus
14 editions published in 2009 in English and held by 182 WorldCat member libraries worldwide
Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus
Leonhard Euler : life, work, and legacy by
Robert E Bradley(
Book
)
20 editions published between 2007 and 2008 in English and held by 180 WorldCat member libraries worldwide
The year 2007 marks the 300th anniversary of the birth of one of the Enlightenments most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the worlds best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Eulers life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Eulers philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Eulers innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.  Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor GrattanGuinness and Karin Reich  New details of Euler's life in two essays, one by Ronald Calinger and one he coauthored with Elena Polyakhova  New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century
20 editions published between 2007 and 2008 in English and held by 180 WorldCat member libraries worldwide
The year 2007 marks the 300th anniversary of the birth of one of the Enlightenments most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the worlds best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Eulers life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Eulers philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Eulers innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.  Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor GrattanGuinness and Karin Reich  New details of Euler's life in two essays, one by Ronald Calinger and one he coauthored with Elena Polyakhova  New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century
How Euler did even more by
Charles Edward Sandifer(
Book
)
11 editions published between 2014 and 2015 in English and held by 105 WorldCat member libraries worldwide
"The final 35 How Euler Did It columns are all collected in this book. ... They are lightly edited versions of the columns as they actually appeared on MAA Online between March 2007 and February 2010."
11 editions published between 2014 and 2015 in English and held by 105 WorldCat member libraries worldwide
"The final 35 How Euler Did It columns are all collected in this book. ... They are lightly edited versions of the columns as they actually appeared on MAA Online between March 2007 and February 2010."
L'Hôpital's analyse des infiniments petits : an annotated translation with source material by Johann Bernoulli by
L'Hospital(
Book
)
9 editions published in 2015 in English and held by 43 WorldCat member libraries worldwide
This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l'Hôpital in 16912 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli's lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli's notes, in Latin, to l'Hôpital's text in French. The similarities are remarkable, but there is also much in l'Hôpital's book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l'Hôpital's text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l'Hôpital and Bernoulli has been included, also for the first time in English translation. This translation will provide students and researchers with direct access to Bernoulli's ideas and l'Hôpital's innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will find food for thought in the texts and notes of the Marquis de l'Hôpital and his teacher, Johann Bernoulli
9 editions published in 2015 in English and held by 43 WorldCat member libraries worldwide
This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l'Hôpital in 16912 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli's lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli's notes, in Latin, to l'Hôpital's text in French. The similarities are remarkable, but there is also much in l'Hôpital's book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l'Hôpital's text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l'Hôpital and Bernoulli has been included, also for the first time in English translation. This translation will provide students and researchers with direct access to Bernoulli's ideas and l'Hôpital's innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will find food for thought in the texts and notes of the Marquis de l'Hôpital and his teacher, Johann Bernoulli
Doing statistics with MINITAB for Windows, release 11 : software instruction and exercise activity supplement by
Marilyn K Pelosi(
Book
)
3 editions published in 1998 in English and held by 22 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 22 WorldCat member libraries worldwide
Cauchy's cours d'analyse : an annotated translation by
Robert E Bradley(
Book
)
4 editions published in 2009 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 2009 in English and held by 8 WorldCat member libraries worldwide
Euler at 300 : an appreciation(
Book
)
1 edition published in 2007 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 8 WorldCat member libraries worldwide
Finiteness in noetherian rings of invariants by
Charles Edward Sandifer(
)
2 editions published in 1980 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1980 in English and held by 2 WorldCat member libraries worldwide
Euler at 300 : an appreciation(
Book
)
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
Some facets of Euler's work on series by
Charles Edward Sandifer(
)
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 story of the Euler story(
Visual
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Lecture presented at Humboldt State University by C. Edward Sandifer on September 27, 2007. Sponsored by the Department of Mathematics
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Lecture presented at Humboldt State University by C. Edward Sandifer on September 27, 2007. Sponsored by the Department of Mathematics
A tale of two gamma's(
Visual
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Lecture presented at Humboldt State University by C. Edward Sandifer on September 27, 2007. Sponsored by the Department of Mathematics
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Lecture presented at Humboldt State University by C. Edward Sandifer on September 27, 2007. Sponsored by the Department of Mathematics
Cauchy⁵s Cours d⁵analyse : an Annotated Translation by
Robert E Bradley(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
L'hôpital's analyse des infiniments petits an annotated translation with source material by Johann Bernoulli by
L'Hospital(
)
2 editions published in 2015 in English and held by 0 WorldCat member libraries worldwide
This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l'Hôpital in 16912 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli's lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli's notes, in Latin, to l'Hôpital's text in French. The similarities are remarkable, but there is also much in l'Hôpital's book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l'Hôpital's text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l'Hôpital and Bernoulli has been included, also for the fi rst time in English translation. This translation will provide students and researchers with direct access to Bernoulli's ideas and l'Hôpital's innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will fi nd food for thought in the texts and notes of the Marquis de l'Hôpital and his teacher, Johann Bernoulli.Résumé de l'éditeur
2 editions published in 2015 in English and held by 0 WorldCat member libraries worldwide
This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l'Hôpital in 16912 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli's lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli's notes, in Latin, to l'Hôpital's text in French. The similarities are remarkable, but there is also much in l'Hôpital's book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l'Hôpital's text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l'Hôpital and Bernoulli has been included, also for the fi rst time in English translation. This translation will provide students and researchers with direct access to Bernoulli's ideas and l'Hôpital's innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will fi nd food for thought in the texts and notes of the Marquis de l'Hôpital and his teacher, Johann Bernoulli.Résumé de l'éditeur
Cauchys Cours danalyse : An Annotated Translation(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
Cauchyzs Cours dzanalyse : an Annotated Translation(
)
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Euler, Leonhard 17071783 Honoree
 Bradley, Robert E. Author Editor
 Cauchy, Augustin Louis Baron 17891857 Author
 D'Antonio, Lawrence A. Editor
 Petrilli, Salvatore J. Translator
 L'Hospital marquis de (Guillaume François Antoine) 16611704 Author
 Bernoulli, Jean 16671748 Author
 Bradley, Robert E. Translator Author
 Sandifer, Theresa M.
 Mathematical Association of America Publisher
Associated Subjects
Art appreciation Bernoulli, Jean, Calculus Calculus, Integral Cauchy, Augustin Louis,Baron, Differential calculus Euler, Leonhard, Gamma functions Global analysis (Mathematics) Global differential geometry Infinite Integral equations Invariants L'Hospital,marquis de(Guillaume François Antoine), Mathematical analysis Mathematical constants Mathematical statisticsData processing Mathematicians Mathematics Minitab Noetherian rings Series, Infinite Switzerland