Mathematician:Benjamin Peirce

Mathematician

American mathematician and logician who has been called "The founding father of modern abstract algebra".

Like George Boole, attempted to put logic on a sound mathematical footing.

He also contributed to many other areas of mathematics.

Proved that there is no odd perfect number with fewer than four prime factors.

Introduced the terms idempotence and nilpotence in $1870$, in his work Linear Associative Algebra.

Father of Charles Sanders Peirce.

Not to be confused with Benjamin Franklin "Hawkeye" Pierce.

Nationality

American

History

• Born: 4 April 1809, Salem, Massachusetts, USA
• Died: 6 Oct 1880, Cambridge, Massachusetts, USA

Theorems and Definitions

• Peirce Decomposition

Publications

• 1835: An Elementary Treatise on Plane Trigonometry
• 1836: First Part of an Elementary Treatise on Spherical Trigonometry
• 1836: An Elementary Treatise on Sound
• 1837: An Elementary Treatise on Algebra : To which are added Exponential Equations and Logarithms
• 1837: An Elementary Treatise on Plane and Solid Geometry
• 1840: An Elementary Treatise on Plane and Spherical Trigonometry
• 1841: An Elementary Treatise on Curves, Functions, and Forces, Volume 1
• 1846: An Elementary Treatise on Curves, Functions, and Forces, Volume 2
• 1855: Physical and Celestial Mathematics
• 1870: Linear Associative Algebra
• 1899: A Short Table of Integrals (2nd Edition)

Sources

• John J. O'Connor and Edmund F. Robertson: "Benjamin Peirce": MacTutor History of Mathematics archive