# Diophantine Analysis (Google eBook)

John Wiley & sons, Incorporated, 1915 - Diophantine analysis - 118 pages

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### Popular passages

Page 106 - To find three squares such that the product of any two of them, added to the sum of those two, gives a square.
Page 112 - ... square of any one of them added to the next following gives a square. Let the first be x, the second 2x + i, and the third 2(2*+ i)+ i or 4*rt- 3, so that two conditions are satisfied.
Page 112 - ... and c. 35. The edges of two hollow cubes differ by 10 centimeters. If a certain quantity of water is poured into the larger cube, there remain 1578 cubic centimeters of space not filled with water. If the second cube contained 142 cubic...
Page 116 - F(x) denotes an irreducible polynomial in x of degree r (r>z) with integral coefficients and c is an integer, has only a finite number of solutions in integers p and q.
Page v - They can be got from right-angled triangles2 by dividing the square of one of the sides about the right angle by the square of the other. Let the squares then be The continued product = -J^ffax...
Page 97 - ... z, which are prime each to each, then one of these integers (say z) and the sum of the other two (say x-\-y) are both divisible by q. We shall give one other theorem which may be demonstrated by elementary means; namely, the following: V. // p is an odd prime and the equation...
Page 115 - ... the product of two sums of eight squares as a sum of eight squares.

### References from web pages

JSTOR: Diophantine Analysis.
Diophantine Analysis. By ROBERT D. CARMICHAEL. John Wiley and Sons, Inc., New York, 1915. viq-118 pages. \$1.25. Greek theory of numbers, like Greek geometry ...

Historical Math Monographs
Title: Diophantine analysis. Publication Info: Ithaca, New York: Cornell ... Diophantine analysis. Print on Demand: http://www.amazon.com/dp/1429701536 ...
historical.library.cornell.edu/ cgi-bin/ cul.math/ docviewer?did=05150001& seq=5

Free Books > Engineering > Electrical & Optical > General ...
Diophantine Analysis. by Robert Daniel Carmichael. Download Book link 1. About Book Review "The book represents an undispensable tool for those who work in ...
2020ok.com/ books/ 20/ diophantine-analysis-19020.htm

Project Gutenberg’s Diophantine Analysis, by Robert Carmichael
facility in the handling of problems in Diophantine analysis; to give an indication ... an elementary book on Diophantine analysis; but where the special ...
www.gutenberg.org/ files/ 20073/ 20073-pdf.pdf

AMERICAN MATHEMATICAL SOCIETY
DIOPHANTINE ANALYSIS. By Robert D. Carmichael, Assistant Professor of ... Diophantine analysis. 124 pages, 6x9. Cloth, \$1.25 net ...
projecteuclid.org/ DPubS/ Repository/ 1.0/ Disseminate?handle=euclid.bams/ 1183423581& view=body& content-type=pdf_1

Literatura iz teorije brojeva
With a supplement containing an account of Fermat's theorems and problems connected with Diophantine analysis and some solutions of Diophantine problems by ...
web.math.hr/ ~duje/ literatura.html

Phys. Rev. D 2, 1069 (1970): Pease - Diophantine Quantization ...
rd Carmichael, Diophantine Analysis (Wiley, New York, 1915; reprinted by Dover, New York, 1959); gh Hardy and em Wright, An Introduction to the Theory of ...
link.aps.org/ doi/ 10.1103/ PhysRevD.2.1069

Carmichael rd Diophantine analysis (Wiley, 1915)(KA)(T)(128s)_MT_ ...
Please wait, ожидайте 28 секунд [ Скачать m_mathematics/mt_number theory/Carmichael rd Diophantine analysis (Wiley, 1915)(KA)(T)(128s)_MT_.djvu ]
lib.org.by/ info/ M_Mathematics/ MT_Number%20theory/ Carmichael%20R.D.%20Diophantine%20analysis%20(Wiley,%201915)(KA)(T)...

Carmichael rd — Diophantine Analysis :: Электронная библиотека ...
Carmichael rd — Diophantine Analysis Скачать книгу с нашего сайта нельзя ... Название: Diophantine Analysis Автор: Carmichael rd Язык: en ...
lib.mexmat.ru/ books/ 11514

Tmecca : The Theory of Numbers and Diophantine Analysis by ...
The Theory Of Numbers And Diophantine Analysis ... and other topics; "Diophantine Analysis" covers rational triangles, method of infinite descent, ...
www.tmecca.co.kr/ detail/ detail_book.html?isbn=9780486438030