"In it, Jourdain outlines the contributions of many of Cantor�s forerunners�including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel�and then further contextualizes Cantor�s groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses: � the addition and multiplication of powers � the exponentiation of powers � the finite cardinal numbers � the smallest transfinite cardinal number aleph-zero � addition and multiplication of ordinal types � well-ordered aggregates � the ordinal numbers of well-ordered aggregates � and much more. German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."

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"In it, Jourdain outlines the contributions of many of Cantor's forerunners--including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel--and then further contextualizes Cantor's groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses: -the addition and multiplication of powers, -the exponentiation of powers, -the finite cardinal numbers, -the smallest transfinite cardinal number aleph-zero, -addition and multiplication of ordinal types -well-ordered aggregates the ordinal numbers of well-ordered aggregates, -and much more. German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."

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Contributions to the Founding of the Theory of Transfinite Numbers

Cantor, George; Jourdain, Philip Edward Bertrand (INT)

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