Hardcover ISBN:  9780883855652 
Product Code:  SPEC/54 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781470458607 
Product Code:  SPEC/54.E 
List Price:  $30.00 
MAA Member Price:  $22.50 
AMS Member Price:  $22.50 
Hardcover ISBN:  9780883855652 
eBook: ISBN:  9781470458607 
Product Code:  SPEC/54.B 
List Price:  $65.00 $50.00 
MAA Member Price:  $48.75 $37.50 
AMS Member Price:  $48.75 $37.50 
Hardcover ISBN:  9780883855652 
Product Code:  SPEC/54 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781470458607 
Product Code:  SPEC/54.E 
List Price:  $30.00 
MAA Member Price:  $22.50 
AMS Member Price:  $22.50 
Hardcover ISBN:  9780883855652 
eBook ISBN:  9781470458607 
Product Code:  SPEC/54.B 
List Price:  $65.00 $50.00 
MAA Member Price:  $48.75 $37.50 
AMS Member Price:  $48.75 $37.50 

Book DetailsSpectrumVolume: 54; 2007; 298 pp
When an important mathematician celebrates a landmark birthday, other mathematicians sometimes gather together to give papers in appreciation of the life and work of the great person. When a mathematician as influential and productive as Euler celebrates an anniversary as important as the 300th, a single meeting isn't sufficient to present all of the contributions. Leonhard Euler (1707–1783) was the most important mathematician of the 18th century. His collected works, with 800 books and articles, fill over 70 large volumes. He revolutionized 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. During the years leading up to Leonhard Euler's tercentenary, at more than a dozen academic meetings across the USA and Canada, mathematicians and historians of mathematics honored Euler in papers detailing his life and work. This book collects more than 20 papers based on some of the most memorable of these contributions. These papers are accessible to a broad mathematical audience. They will appeal to those who already have an interest in the history of mathematics. For those who don't, they will serve as a compelling introduction to the subject, focused on the accomplishments of one of the great mathematical minds of all time. Topics include analysis—especially Euler's fearless and masterful manipulation of power series—geometry, algebra, probability, astronomy and mechanics.

Table of Contents

Articles

Rüdiger Thiele — Leonhard Euler, the Decade 1750–1760

C. Edward Sandifer — Euler’s Fourteen Problems

Dominic Klyve and Lee Stemkoski — The Euler Archive: Giving Euler to the World

Christopher Baltus — The EulerBernoulli Proof of the Fundamental Theorem of Algebra

Stacy G. Langton — The Quadrature of Lunes, from Hippocrates to Euler

Rüdiger Thiele — What is a function?

Janet Heine Barnett — Enter, Stage Center: The Early Drama of the Hyperbolic Functions

C. Edward Sandifer — Euler’s Solution of the Basel Problem—The Longer Story

Lawrence D’Antonio — Euler and Elliptic Integrals

Mark McKinzie — Euler’s Observations on Harmonic Progressions

Mark McKinzie — Origins of a classic formalist argument: power series expansions of the logarithmic and exponential functions

Dick Jardine — Taylor and Euler: Linking the Discrete and Continuous

David J. Pengelley — Dances between continuous and discrete: Euler’s summation formula

Stacy G. Langton — Some Combinatorics in Jacob Bernoulli’s Ars Conjectandi

Robert E. Bradley — The Genoese Lottery and the Partition Function

Carolyn Lathrop and Lee Stemkoski — Parallels in the Work of Leonhard Euler and Thomas Clausen

Robert E. Bradley — Three Bodies? Why not Four? The Motion of the Lunar Apsides

Lawrence D’Antonio — “The fabric of the universe is most perfect”: Euler’s research on elastic curves

Roger Godard — The Euler Advection Equation

C. Edward Sandifer — Euler Rows the Boat

George W. Heine, III — Lambert, Euler, and Lagrange as Map Makers


Reviews

The writing is uniformly high level and should interest both historians of mathematics and indeed any mathematician with a fondness for Euler. Highly Recommended
Choice 
The essays are wellwritten and clearly presented; many of them are accessible to a motivated reader while others are set at a more advanced level....These essays provide evidence that one can combine an avid interest in technical science with a substantial interest in history.
Charles Fraser, Isis


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When an important mathematician celebrates a landmark birthday, other mathematicians sometimes gather together to give papers in appreciation of the life and work of the great person. When a mathematician as influential and productive as Euler celebrates an anniversary as important as the 300th, a single meeting isn't sufficient to present all of the contributions. Leonhard Euler (1707–1783) was the most important mathematician of the 18th century. His collected works, with 800 books and articles, fill over 70 large volumes. He revolutionized 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. During the years leading up to Leonhard Euler's tercentenary, at more than a dozen academic meetings across the USA and Canada, mathematicians and historians of mathematics honored Euler in papers detailing his life and work. This book collects more than 20 papers based on some of the most memorable of these contributions. These papers are accessible to a broad mathematical audience. They will appeal to those who already have an interest in the history of mathematics. For those who don't, they will serve as a compelling introduction to the subject, focused on the accomplishments of one of the great mathematical minds of all time. Topics include analysis—especially Euler's fearless and masterful manipulation of power series—geometry, algebra, probability, astronomy and mechanics.

Articles

Rüdiger Thiele — Leonhard Euler, the Decade 1750–1760

C. Edward Sandifer — Euler’s Fourteen Problems

Dominic Klyve and Lee Stemkoski — The Euler Archive: Giving Euler to the World

Christopher Baltus — The EulerBernoulli Proof of the Fundamental Theorem of Algebra

Stacy G. Langton — The Quadrature of Lunes, from Hippocrates to Euler

Rüdiger Thiele — What is a function?

Janet Heine Barnett — Enter, Stage Center: The Early Drama of the Hyperbolic Functions

C. Edward Sandifer — Euler’s Solution of the Basel Problem—The Longer Story

Lawrence D’Antonio — Euler and Elliptic Integrals

Mark McKinzie — Euler’s Observations on Harmonic Progressions

Mark McKinzie — Origins of a classic formalist argument: power series expansions of the logarithmic and exponential functions

Dick Jardine — Taylor and Euler: Linking the Discrete and Continuous

David J. Pengelley — Dances between continuous and discrete: Euler’s summation formula

Stacy G. Langton — Some Combinatorics in Jacob Bernoulli’s Ars Conjectandi

Robert E. Bradley — The Genoese Lottery and the Partition Function

Carolyn Lathrop and Lee Stemkoski — Parallels in the Work of Leonhard Euler and Thomas Clausen

Robert E. Bradley — Three Bodies? Why not Four? The Motion of the Lunar Apsides

Lawrence D’Antonio — “The fabric of the universe is most perfect”: Euler’s research on elastic curves

Roger Godard — The Euler Advection Equation

C. Edward Sandifer — Euler Rows the Boat

George W. Heine, III — Lambert, Euler, and Lagrange as Map Makers

The writing is uniformly high level and should interest both historians of mathematics and indeed any mathematician with a fondness for Euler. Highly Recommended
Choice 
The essays are wellwritten and clearly presented; many of them are accessible to a motivated reader while others are set at a more advanced level....These essays provide evidence that one can combine an avid interest in technical science with a substantial interest in history.
Charles Fraser, Isis