Two most important essays by the famous German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. The other is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.

Two most important essays by the famous German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. The other is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.

Published: Black and Red, Detroit, 1972; Translated: Miloš Samardžija and Fredy Perlman from the 3rd edition, Moscow: Gosudasrstvennoe Izdatel'stvo, 1928; Transcribed: Sally Ryan 1999, J.L.W. 2008 Proofed: and corrected Chris Clayton 2006 (chpts 1-16), J.L.W. 2008 (chpts 17-19); HTML Markup: Sally Ryan, 1999, J.L.W., 2008.

作者：伊萨克·伊里奇·鲁宾（Исаак Ильич Рубин,Isaak Ilich Rubin，1886-1937），1906年进入圣彼得堡大学学习法律和经济学，1921年被任命为莫斯科大学教授，出版《马克思价值理论研究》《经济思想史》等著作。

作者：伊萨克·伊里奇·鲁宾（Исаак Ильич Рубин,Isaak Ilich Rubin，1886-1937），1906年进入圣彼得堡大学学习法律和经济学，1921年被任命为莫斯科大学教授，出版《马克思价值理论研究》《经济思想史》等著作。

Published: Black and Red, Detroit, 1972; Translated: Miloš Samardžija and Fredy Perlman from the 3rd edition, Moscow: Gosudasrstvennoe Izdatel'stvo, 1928; Transcribed: Sally Ryan 1999, J.L.W. 2008 Proofed: and corrected Chris Clayton 2006 (chpts 1-16), J.L.W. 2008 (chpts 17-19); HTML Markup: Sally Ryan, 1999, J.L.W., 2008.

Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems -- interesting to beginning and advanced readers. Divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, many other aspects produce ingenious puzzles. Solutions to all problems.

Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems -- interesting to beginning and advanced readers. Divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, many other aspects produce ingenious puzzles. Solutions to all problems.