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How Euler Did It
 
G. Edward Sandifer
How Euler Did It
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-5745-7
Product Code:  SPEC/52.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
Add to cart
How Euler Did It
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How Euler Did It
G. Edward Sandifer
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-5745-7
Product Code:  SPEC/52.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
Add to cart
  • Book Details
     
     
    Spectrum
    Volume: 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 18th-century 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Spectrum
Volume: 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 18th-century 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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