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Dạng tài liệu:	Bản in
Chỉ số ISBN:	0-8218-1934-8
Ngôn ngữ:	eng
Mã giá:	11DI
Mã MSC:	Đang cập nhật ...
Tác giả:	Dickson, Leonard Eugene
Nhan đề:	History of the theory of numbers
Lần xuất bản:	1
Xuất bản, phát hành:	H : New York, NY , 1966
Số trang:	486;
Kích thước:	24cm

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  020	##	$a0-8218-1934-8
  024	1#	$a245499 $d0958.11500
  041	##	$aeng
  084	##	$a11DI
  090	##	$cLv5272
  100	1#	$aDickson, Leonard Eugene
  245	##	$aHistory of the theory of numbers.$n1
  250	##	$a1
  260	##	$aH:$bNew York, NY,$c1966
  300	##	$a486;$c24cm
  505	0#	$aChapter I. Perfect, multiply perfect , and amicable numbers II. Formulas for the number and sum of divisors, problems of Fermat and Wallis III. Fermat's and Wilson's theorems, generalizations and converses; symmetric functions of $1,2,ldots,p-1,$ modulo p IV. Residue of $(u^p-1-1)/p$ modulo p V. Euler's $phi$=function, generalizations; Farey series VI. Periodic decimal fractions; periodic fraction; factors of $10^nplusminus 1$ VII. Primitive roots, exponents, indices, binomial congruences VIII. Higher congruences IX. Divisibility of factorials and multinomial coefficients X. Sum and number of divisors XI. Miscellaneous theorems on divisibility, greatest common divisor, least common multiple XII. Criteria for divisiblity by a given number XIII. Factor tables, lists of primes XIV. Methods of factoring XV. Fermat numbers $F_n=2^2^n+1$ XVI. Factors of $a^nplusminus b^n$ XVII. Recurring series; Lucas' $u_n,v_N$ XVIII. Theory of prime numbers XIX. Inversion of functions; Mobius' function $mu(n)$; numerical integrals and derivatives XX. Properties of the digits of numbers
  520	##	$aThe first volume of Dickson's History covers the related topics of divisibility and primality. It begins with a description of the development of our understanding of perfect numbers. Other standard topics, such as Fermat's theorems, primitive roots, counting divisors, the Mửbius function, and prime numbers themselves are treated. Dickson, in this thoroughness, also includes less workhorse subjects, such as methods of factoring, divisibility of factorials and properties of the digits of numbers. Concepts, results and citations are numerous.
  900	##	1
  911	##	ELIB
  912	##	Converted
  927	##	Sách, chuyên khảo, tuyển tập

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