# The Theory of Numbers

J. Wiley & Sons, Incorporated, 1914 - 94 ページ

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### 目次

 ELEMENTARY PROPERTIES OF INTEGERS 1 Fundamental Notions and Laws 7 Definition of Divisibilii t The Unit 8 3 Prime Numbers The Sieve of Eratosthenes 10 4 The Number of Primes is Infinite 12 The Fundamental Theorem of Euclid 13 The Unique Factorization Theorem 14 The Divisors of an Integer 16 9 The Greatest Common Factor of Two or More Integers 18
 The Converse of Wilsons Theorem 50 27 Impossibility of 1 2 3 n1 + 1 1 ns 51 Extension of Fermats Theorem 52 On the Converse of Fermats Simple Theorem 55 Application of Previous Results to Linear Congruences 56 31 Application of the Preceding Results to the Theory of Quad ratic Residues 57 PRIMITIVE ROOTS MODULO m 61 33 Another Proof of Fermats General Theorem 63

 The Least Common Multiple of Two or More Integers 20 11 Scales of Notation 22 12 Highest Power of a Prime p Contained in n 25 Remarks Concerning Prime Numbers 28 ON THE INDICATOR OF AN INTEGER 14 Definition Indicator of a Prime Power 30 The Indicator of any Positive Integer 32 17 Sum of the Indicators of the Divisors of a Number 35 ELEMENTARY PROPERTIES OF CONGRUENCES 18 Congruences Modulo m 37 Solutions of Congruences by Triai 39 Properties of Congruences Relative to Division 40 21 Congruences with a Prime Modulus 41 Linear Congruences 43 THE THEOREMS OF FERMAT AND WILSON 23 Fermats General Theorem 47 Eulers Proof of the Simple Fermat Theorem 48 25 Wilsons Theorem 49
 Definition of Primitive Roots 65 Primitive Roots Modulo p 66 Primitive Roots Modulo p p an Odd Prime 68 Primitive Roots Modulo 2pa p an Odd Prime 70 38 Recapitulation 71 OTHER TOPICS 40 Introduction 76 41 Theory of Quadratic Residues 77 Galois Imaginaries 80 Arithmetic Forms 81 Analytical Theory of Numbers 83 45 Diophantine Equations 84 Pythagorean Triangles 85 47 The Equation xn+yn tn 91 著作権

### ウェブページからの参照

JSTOR: The Theory of Numbers for Undergraduates
The Theory of Numbers for Undergraduates By EMORY P. STARKE Rutgers University "The elementary theory of numbers should be one of the very best subjects for ...

CARMICHAEL'S MONOGRAPHS ON BRANCHES OF THE THEORY OF NUMBERS. The ...
ners in the theory of numbers (and the same point would apply ... sequently the author of the tract on the Theory of Numbers ...
projecteuclid.org/ DPubS/ Repository/ 1.0/ Disseminate?handle=euclid.bams/ 1183423545& view=body& content-type=pdf_1

The Project Gutenberg ebook The Theory of Numbers, by Robert D ...
the theory of numbers, one of the most extensive and most elegant disciplines in ... introduction to the theory of numbers. Numerous problems are supplied ...
www.gutenberg.org/ files/ 13693/ 13693-pdf.pdf

Free Books > Science > General > The theory of numbers
Free Books > Science > General > The theory of numbers.
2020ok.com/ books/ 30/ the-theory-of-numbers-41530.htm

Number Theory -- from Eric Weisstein's Encyclopedia of Scientific ...
Beiler, ah Recreations in the Theory of Numbers: The Queen of Mathematics ... The Higher Arithmetic: An Introduction to the Theory of Numbers, 6th ed. ...
www.ericweisstein.com/ encyclopedias/ books/ NumberTheory.html

The Theory Of Numbers And Diaophantin - Boek - BESLIST.nl
Bekijk en vergelijk informatie, beoordelingen, vragen & antwoorden en de beste winkels voor 'The Theory Of Numbers And Diaophantin' op BESLIST.nl ▪ Boeken ...
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Tmecca : The Theory of Numbers and Diophantine Analysis by ...
Single-volume compilation of two complete works: "The Theory of Numbers" explores prime numbers, elementary properties of congruences, the theories of ...
www.tmecca.co.kr/ detail/ detail_book.html?isbn=9780486438030

Mathematics list2
Carmichael, Robert D. The Theory of Numbers and Diophantine Analylsis. Both books bound as one. 94, 118, pp. Dover (1914, 1915, 1959) Softcover. ...
www.significantbooks.com/ mthl2.htm

Libro - Robert D. Carmichael - The Theory of Numbers (1914 ...
The Theory of Numbers (1914), Robert D. Carmichael, - Kessinger Publishing.
www.webster.it/ book_usa-theory_numbers_robert_carmichael_kessinger-9780548619544.htm

Literatura iz teorije brojeva
A. Adler, je Coury: The Theory of Numbers. A Text and the Source Book of Problems, ... A. Baker: A Concise Introduction to the Theory of Numbers, ...
web.math.hr/ ~duje/ literatura.html