The Continuum, And Other Types Of Serial Order, With An Introduction To Cantor's Transfinite Numbers. Second Edition

Huntington, Edward V.

Verlag: Harvard University Press, Cambridge, 1917

Beschreibung

82 Pp. "A Systematic Elementary Account Of The Modern Theory Of The Continuum As A Type Of Serial Order." Updated From The Original 1905 Publication In The Annals Of Mathematics. Light Wear, Spine Gilt Bright But Not Brilliant Or New, A Few Helpful And Intelligent Pencil Notes And Ownership Signature And Stamps Of Professor Dewey C. Duncan Of Caltech. Per Wikipedia, Edward Vermilye Huntington (1874 ?1952) Was An American Mathematician. He Spent His Entire Career At Harvard, Retiring In 1941. He Taught In The Engineering School, Becoming Professor Of Mechanics In 1919. Although Huntington's Research Was Mainly In Pure Mathematics, He Valued Teaching Mathematics To Engineering Students. He Advocated Mechanical Calculators And Had One In His Office. He Had An Interest In Statistics, Unusual For The Time, And Worked On Statistical Problems For The Usa Military During World War I. Huntington's Primary Research Interest Was The Foundations Of Mathematics. He Was One Of The "American Postulate Theorists" (According To Michael Scanlan, The Expression Is Due To John Corcoran), American Mathematicians Active Early In The 20Th Century (Including E. H. Moore And Oswald Veblen) Who Proposed Axiom Sets For A Variety Of Mathematical Systems. In So Doing, They Helped Found What Is Now Known As Metamathematics And Model Theory. Huntington Was Perhaps The Most Prolific Of The American Postulate Theorists, Devising Sets Of Axioms (Which He Called "Postulates") For Groups, Abelian Groups, Geometry, The Real Number Field, And Complex Numbers. His 1917 Book The Continuum And Other Types Of Serial Order Was In Its Day ".A Widely Read Introduction To Cantorian Set Theory" (Scanlan 1999). Yet Huntington And The Other American Postulate Theorists Played No Role In The Rise Of Axiomatic Set Theory Then Taking Place In Continental Europe. In 1904, Huntington Put Boolean Algebra On A Sound Axiomatic Foundation. He Revisited Boolean Axiomatics In 1933, Proving That Boolean Algebra Required But A Single Binary Operation (Denoted Below By Infix '+') That Commutes And Associates, And A Single Unary Operation, Complementation, Denoted By A Postfix Prime. The Only Further Axiom Boolean Algebra Requires Is Now Known As Huntington's Axiom. Revising A Method From Joseph Adna Hill, Huntington Is Credited With The Method Of Equal Proportions Or Huntington?Hill Method Of Apportionment Of Seats In The U.S. House Of Representatives To The States, As A Function Of Their Populations Determined In The U.S. Census[1]. This Mathematical Algorithm Has Been Used In The U.S. Since 1941 And Is Currently The Method Used. In 1919, Huntington Was The Third President Of The Mathematical Association Of America, Which He Helped Found As A Charter Member And Its First Vice-President.

Bestandsnummer des Verkäufers 031360

Bibliografische Details

• Titel: The Continuum, And Other Types Of Serial Order, With An Introduction To Cantor's Transfinite Numbers. Second Edition
• Verlag: Harvard University Press, Cambridge
• Veröffentlichungsdatum: 1917
• Sprache: Englisch
• Bindung: Hardcover
• Ausgabe: 2nd Edition
• Zustand: Very Good
• Zustand des Schutzumschlags: No Jacket
• Verkäuferkataloge:
  • Mathematics