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数论史:可除性与素性History of the theory of numbers

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数论史:可除性与素性History of the theory of numbers

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作 者:LeonardEugeneDickson 著

出 版 社:Oversea Publishing House

出版时间:2005-6-1

I S B N:9780486442334

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内容简介

This 2nd volume in the series History of the Theory of Numbers presents material related to Diophantine Analysis. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition.

作者简介

目录

Ⅰ.POLYGONAL,PYRAMIDAL AND FIGURATE NUMBERS
Ⅱ.LINEAR DIOPHANTINE EQUATIONS AND CONGRUENCES
Ⅲ.PARTITIONS
Ⅳ.RATIONAL RIGHT TRIANGLES
Ⅴ.TRIANGLES,QUADRILATERALS,AND TETRAHEDRA
Ⅵ.SUM OF TWO SQUARES
Ⅶ.SUM OF THREE SQUARES
Ⅷ.SUM OF FOUR SQUARES
Ⅸ.SUM OF N SQUARES
Ⅹ.NUMBER OF SOLUTIONS OF EIGHTEEN ARTICLES
Ⅺ.LIOURVILLE'S SERIES OF EIGHTEEN ARTICLES
Ⅻ.PELL EQUATION;ax2+bx+c MADE A SQUARE
ⅩⅢ.FURTHER SINGLE EQUATIONS OF THE SECOND DEGREE
ⅩⅣ.SQUARES IN ARITHMETICAL OR GEOMETRICAL PROGRESSION
ⅩⅤ.TWO OR MORE LINEAR FUNCTIONS MADE SQUARES
ⅩⅥ.TWO QUADRATIC FUNCTIONS OF ONE OR TWO UNKNOWNS MADE SQUARES
ⅩⅦ.SYSTEMS OF TWO EQUATIONS OF DEGREE TWO
ⅩⅧ.THREE OF MORE QUADRATIC FUNCTIONS OF ONE OR TWO UNKNOWNS MADE UNKNOWNS
ⅩⅨ.SYSTEMS OF THREE OR MORE EQUATIONS OF DEGREE TWO IN THREE OF MORE UNKNOWNS
ⅩⅩ.QUADRATIC FORM MADE AN NTH PORER
ⅩⅪ.EQUATIONS OF DEGREE THREE
ⅩⅫ.EQUATIONS OF DEGREE FOUR
ⅩⅩⅢ.EQUATIONS OF DEGREE n
ⅩⅩⅣ.SETS OF INTEGERS WITH EQUAL SUMS OF LIKE POWERS
ⅩⅩⅤ.WARING'S PROBLEM AND RELATED RESULTS
ⅩⅩⅥ.FERMAT'S LAST THEOREM,axr+by3=czt,AND THE CONGRUENCE xn=yn=zn(mod p)
AUTHOR INDEX
SUBJECT INDEX

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