eBook ISBN:  9781470457440 
Product Code:  SPEC/51.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
eBook ISBN:  9781470457440 
Product Code:  SPEC/51.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 

Book DetailsSpectrumVolume: 51; 2007; 326 pp
Celebrating the 300th birthday of Leonhard Euler (17071783), one of the brightest stars in the mathematical firmament, this book stands as a testimonial to a mathematician of unsurpassed insight, industry, and ingenuity. The collected articles, aimed at a mathematically literate audience, address aspects of Euler's life and work, from the biographical to the historical to the mathematical. The oldest of these was written in 1872, and the most recent dates to 2006. Some of the papers focus on Euler and his world, others describe a specific Eulerian achievement, and still others survey a branch of mathematics to which Euler contributed significantly. Among the 34 contributors are some of the most illustrious mathematicians and mathematics historians of the past century, e.g. Florian Cajori, Carl Boyer, George Pya, Andre Weil, and Paul Erdös. And there are a few poems and a mnemonic just for fun.

Table of Contents

Articles

Introduction to Part I

Leonhard Euler, B. F. Finkel (1897)

Leonhard Euler, Supreme Geometer (abridged), C. Truesdell (1972)

Euler (abridged), André Weil (1984)

Frederick the Great on Mathematics and Mathematicians (abridged), Florian Cajori (1927)

The EulerDiderot Anecdote, B. H. Brown (1942)

Ars Expositionis: Euler as Writer and Teacher, G. L. Alexanderson (1983)

The Foremost Textbook of Modern Times, C. B. Boyer (1951)

Leonhard Euler, 1707–1783, J. J. Burckhardt (1983)

Euler’s Output, A Historical Note, W. W. R. Ball (1924)

Discoveries (a poem), Marta Sved and Dave Logothetti (1989)

Bell’s Conjecture (a poem), J. D. Memory (1997)

A Response to “Bell’s Conjecture” (a poem), Charlie Marion and William Dunham (1997)

Introduction to Part II

Euler and Infinite Series, Morris Kline (1983)

Euler and the Zeta Function, Raymond Ayoub (1974)

Addendum to: “Euler and the Zeta Function”, A. G. Howson (1975)

Euler Subdues a Very Obstreperous Series (abridged), E. J. Barbeau (1979)

On the History of Euler’s Constant, J. W. L. Glaisher (1872)

A Mnemonic for Euler’s Constant, Morgan Ward (1931)

Euler and Differentials, Anthony P. Ferzola

Leonhard Euler’s Integral: A Historical Profile of the Gamma Function, Philip J. Davis (1959)

Change of Variables in Multiple Integrals: Euler to Cartan, Victor J. Katz (1982)

Euler’s Vision of a General Partial Differential Calculus for a Generalized Kind of Function, Jesper Lützen (1983)

On the Calculus of Variations and Its Major Influences on the Mathematics of the First Half of Our Century, Erwin Kreyszig

Some Remarks and Problems in Number Theory Related to the Work of Euler, Paul Erdős and Underwood Dudley (1983)

Euler’s Pentagona Number Theorem, George E. Andrews (1983)

Euler and Quadratic Reciprocity, Harold M. Edwards (1983)

Euler and the Fundamental Theorem of Algebra, William Dunham (1991)

Guessing and Proving, George Pólya (1978)

The Truth about Königsberg, Brian Hopkins and Robin J. Wilson (2004)

GraecoLatin Squares and a Mistaken Conjecture of Euler, Dominic Klyve and Lee Stemkoski (2006)


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Celebrating the 300th birthday of Leonhard Euler (17071783), one of the brightest stars in the mathematical firmament, this book stands as a testimonial to a mathematician of unsurpassed insight, industry, and ingenuity. The collected articles, aimed at a mathematically literate audience, address aspects of Euler's life and work, from the biographical to the historical to the mathematical. The oldest of these was written in 1872, and the most recent dates to 2006. Some of the papers focus on Euler and his world, others describe a specific Eulerian achievement, and still others survey a branch of mathematics to which Euler contributed significantly. Among the 34 contributors are some of the most illustrious mathematicians and mathematics historians of the past century, e.g. Florian Cajori, Carl Boyer, George Pya, Andre Weil, and Paul Erdös. And there are a few poems and a mnemonic just for fun.

Articles

Introduction to Part I

Leonhard Euler, B. F. Finkel (1897)

Leonhard Euler, Supreme Geometer (abridged), C. Truesdell (1972)

Euler (abridged), André Weil (1984)

Frederick the Great on Mathematics and Mathematicians (abridged), Florian Cajori (1927)

The EulerDiderot Anecdote, B. H. Brown (1942)

Ars Expositionis: Euler as Writer and Teacher, G. L. Alexanderson (1983)

The Foremost Textbook of Modern Times, C. B. Boyer (1951)

Leonhard Euler, 1707–1783, J. J. Burckhardt (1983)

Euler’s Output, A Historical Note, W. W. R. Ball (1924)

Discoveries (a poem), Marta Sved and Dave Logothetti (1989)

Bell’s Conjecture (a poem), J. D. Memory (1997)

A Response to “Bell’s Conjecture” (a poem), Charlie Marion and William Dunham (1997)

Introduction to Part II

Euler and Infinite Series, Morris Kline (1983)

Euler and the Zeta Function, Raymond Ayoub (1974)

Addendum to: “Euler and the Zeta Function”, A. G. Howson (1975)

Euler Subdues a Very Obstreperous Series (abridged), E. J. Barbeau (1979)

On the History of Euler’s Constant, J. W. L. Glaisher (1872)

A Mnemonic for Euler’s Constant, Morgan Ward (1931)

Euler and Differentials, Anthony P. Ferzola

Leonhard Euler’s Integral: A Historical Profile of the Gamma Function, Philip J. Davis (1959)

Change of Variables in Multiple Integrals: Euler to Cartan, Victor J. Katz (1982)

Euler’s Vision of a General Partial Differential Calculus for a Generalized Kind of Function, Jesper Lützen (1983)

On the Calculus of Variations and Its Major Influences on the Mathematics of the First Half of Our Century, Erwin Kreyszig

Some Remarks and Problems in Number Theory Related to the Work of Euler, Paul Erdős and Underwood Dudley (1983)

Euler’s Pentagona Number Theorem, George E. Andrews (1983)

Euler and Quadratic Reciprocity, Harold M. Edwards (1983)

Euler and the Fundamental Theorem of Algebra, William Dunham (1991)

Guessing and Proving, George Pólya (1978)

The Truth about Königsberg, Brian Hopkins and Robin J. Wilson (2004)

GraecoLatin Squares and a Mistaken Conjecture of Euler, Dominic Klyve and Lee Stemkoski (2006)