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Essays on the theory of numbers : = ...

Dedekind, Richard, (1831-1916.)

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Essays on the theory of numbers : = I. Continuity and irrational numbers. II. The nature and meaning of numbers /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Essays on the theory of numbers :/ by Richard Dedekind ; authorized translation by Wooster Woodruff Beman.
其他題名:	I. Continuity and irrational numbers. II. The nature and meaning of numbers /
作者:	Dedekind, Richard,
其他作者:	Beman, Webster Woodruff,
出版者:	New York :Dover Publications, : 1963.,
面頁冊數:	115 p. ;21 cm.
附註:	Originally published: Open Court Publishing Co., 1901.
內容註:	Continuity and irrational numbers : Properties of rational numbers ; Comparison of the rational numbers with the points of a straight line ; Continuity of the straight line ; Creation of irrational numbers ; Continuity of the domain of real numbers ; Operations with real numbers ; Infinitesimal analysis -- The nature and meaning of numbers : Systems of elements ; Transformation of a system ; Similarity of a transformation. Similar systems ; Transformation of a system in itself ; The finite and infinite ; Simply infinite systems. Series of natural numbers ; Greater and less numbers ; Finite and infinite parts of the number-series ; Definition of a transformation of the number-series by induction ; The class of simply infinite systems ; Addition of numbers ; Multiplication of numbers ; Involution of numbers ; Number of the elements of a finite system.
標題:	Number theory. -
ISBN:	9780486210100

Essays on the theory of numbers : = I. Continuity and irrational numbers. II. The nature and meaning of numbers /
Dedekind, Richard,1831-1916.

Essays on the theory of numbers :I. Continuity and irrational numbers. II. The nature and meaning of numbers /by Richard Dedekind ; authorized translation by Wooster Woodruff Beman. - New Dover ed. - New York :Dover Publications,1963. - 115 p. ;21 cm.

Originally published: Open Court Publishing Co., 1901.

Continuity and irrational numbers : Properties of rational numbers ; Comparison of the rational numbers with the points of a straight line ; Continuity of the straight line ; Creation of irrational numbers ; Continuity of the domain of real numbers ; Operations with real numbers ; Infinitesimal analysis -- The nature and meaning of numbers : Systems of elements ; Transformation of a system ; Similarity of a transformation. Similar systems ; Transformation of a system in itself ; The finite and infinite ; Simply infinite systems. Series of natural numbers ; Greater and less numbers ; Finite and infinite parts of the number-series ; Definition of a transformation of the number-series by induction ; The class of simply infinite systems ; Addition of numbers ; Multiplication of numbers ; Involution of numbers ; Number of the elements of a finite system.

Two essays on mathematical theory. The first is about irrational numbers. The second deals with whole numbers and infinity, and with the logical validity of inductive mathematical proofs.

ISBN: 9780486210100US9.95

LCCN: 63003681 Subjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA248 / .D3 1963

Dewey Class. No.: 512.7

Essays on the theory of numbers : = I. Continuity and irrational numbers. II. The nature and meaning of numbers /
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245 1 0 $a Essays on the theory of numbers : $b I. Continuity and irrational numbers. II. The nature and meaning of numbers / $c by Richard Dedekind ; authorized translation by Wooster Woodruff Beman.
250 $a New Dover ed.
260 # $a New York : $b Dover Publications, $c 1963.
300 $a 115 p. ; $c 21 cm.
500 $a Originally published: Open Court Publishing Co., 1901.
505 0 # $a Continuity and irrational numbers : Properties of rational numbers ; Comparison of the rational numbers with the points of a straight line ; Continuity of the straight line ; Creation of irrational numbers ; Continuity of the domain of real numbers ; Operations with real numbers ; Infinitesimal analysis -- The nature and meaning of numbers : Systems of elements ; Transformation of a system ; Similarity of a transformation. Similar systems ; Transformation of a system in itself ; The finite and infinite ; Simply infinite systems. Series of natural numbers ; Greater and less numbers ; Finite and infinite parts of the number-series ; Definition of a transformation of the number-series by induction ; The class of simply infinite systems ; Addition of numbers ; Multiplication of numbers ; Involution of numbers ; Number of the elements of a finite system.
520 # $a Two essays on mathematical theory. The first is about irrational numbers. The second deals with whole numbers and infinity, and with the logical validity of inductive mathematical proofs.
583 1 $a committed to retain $c 20170930 $d 20421231 $f HathiTrust $u https://www.hathitrust.org/shared_print_program $5 PU
650 # 0 $a Number theory. $3 515832
700 1 # $a Beman, Webster Woodruff, $d 1850-1922. $3 3642306
776 0 8 $i Online version: $a Dedekind, Richard, 1831-1916. $t Essays on the theory of numbers. $d New York : Dover Publications, 1963 $w (OCoLC)610335840