eBook ISBN:  9781470457457 
Product Code:  SPEC/52.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
eBook ISBN:  9781470457457 
Product Code:  SPEC/52.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 

Book DetailsSpectrumVolume: 52; 2007; 235 pp
A collection of 40 monthly columns that appeared on MAA Online between 2003 and 2007 about the mathematical and scientific work of the great 18thcentury Swiss mathematician Leonhard Euler. Professor Sandifer uncovers many details that are not found in other sources by studying Euler's words in their original language.

Table of Contents

Articles

Euler’s Greatest Hits

Part I: Geometry

$V, E$ and $F$, Part 1 (June 2004)

$V, E$ and $F$, Part 2 (July 2004)

19th Century Triangle Geometry (May 2006)

Beyond Isosceles Triangles (April 2004)

The Euler–Pythagoras Theorem (January 2005)

Cramer’s Paradox (August 2004)

Part II: Number Theory

Fermat’s Little Theorem (November 2003)

Amicable Numbers (November 2005)

Odd Perfect Numbers (November (2006)

Euler and Pell (April 2005)

Factors of Forms (December 2005)

$2aa+bb$ (January 2006)

Part III: Combinatorics

Philip Naudé’s Problem (October 2005)

Venn Diagrams (January 2004)

Knight’s Tour (April 2006)

Derangements (September 2004)

Orthogonal Matrices (August 2006)

Part IV: Analysis

Piecewise Functions (January 2007)

Finding Logarithms by Hand (July 2005)

Roots by Recursion (June 2005)

Theorema Arithmeticum (March 2005)

A Mystery about the Law of cosines (December 2004)

A Memorable Example of False Induction (August 2005)

Foundations of Calculus (September 2006)

Wallis’s Formula (November 2004)

Arc Length of an Ellipse (October 2004)

Mixed Partial Derivatives (May 2004)

Goldbach’s Series (February 2005)

Bernoulli Numbers (September 2005)

Divergent Series (June 2006)

Who Proved $e$ is Irrational? (February 2006)

Infinitely Many Primes (March 2006)

Formal Sums and Products (July 2006)

Estimating the Basel Problem (December 2003)

Basel Problem with Integrals (March 2004)

Cannonball Curves (December 2006)

Propulsion of Ships (February 2004)

How Euler Discovered America (October 2006)

The Euler Society (May 2005)


Reviews

This is a great book of compelling interest to the mathematics historian. ALthough geared for the reader with a fiarly strong background in mathematics, it would be a valuable addition on the bookshelf of mathematics teachers.
Scott H. Brown, The Mathematics Teacher


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A collection of 40 monthly columns that appeared on MAA Online between 2003 and 2007 about the mathematical and scientific work of the great 18thcentury Swiss mathematician Leonhard Euler. Professor Sandifer uncovers many details that are not found in other sources by studying Euler's words in their original language.

Articles

Euler’s Greatest Hits

Part I: Geometry

$V, E$ and $F$, Part 1 (June 2004)

$V, E$ and $F$, Part 2 (July 2004)

19th Century Triangle Geometry (May 2006)

Beyond Isosceles Triangles (April 2004)

The Euler–Pythagoras Theorem (January 2005)

Cramer’s Paradox (August 2004)

Part II: Number Theory

Fermat’s Little Theorem (November 2003)

Amicable Numbers (November 2005)

Odd Perfect Numbers (November (2006)

Euler and Pell (April 2005)

Factors of Forms (December 2005)

$2aa+bb$ (January 2006)

Part III: Combinatorics

Philip Naudé’s Problem (October 2005)

Venn Diagrams (January 2004)

Knight’s Tour (April 2006)

Derangements (September 2004)

Orthogonal Matrices (August 2006)

Part IV: Analysis

Piecewise Functions (January 2007)

Finding Logarithms by Hand (July 2005)

Roots by Recursion (June 2005)

Theorema Arithmeticum (March 2005)

A Mystery about the Law of cosines (December 2004)

A Memorable Example of False Induction (August 2005)

Foundations of Calculus (September 2006)

Wallis’s Formula (November 2004)

Arc Length of an Ellipse (October 2004)

Mixed Partial Derivatives (May 2004)

Goldbach’s Series (February 2005)

Bernoulli Numbers (September 2005)

Divergent Series (June 2006)

Who Proved $e$ is Irrational? (February 2006)

Infinitely Many Primes (March 2006)

Formal Sums and Products (July 2006)

Estimating the Basel Problem (December 2003)

Basel Problem with Integrals (March 2004)

Cannonball Curves (December 2006)

Propulsion of Ships (February 2004)

How Euler Discovered America (October 2006)

The Euler Society (May 2005)

This is a great book of compelling interest to the mathematics historian. ALthough geared for the reader with a fiarly strong background in mathematics, it would be a valuable addition on the bookshelf of mathematics teachers.
Scott H. Brown, The Mathematics Teacher