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Diophantine Equation: more books (88)

Analytic Methods for Diophantine Equations and Diophantine Inequalities (Cambridge Mathematical Library) by H. Davenport, T. D. Browning, 2005-02-07
On Finiteness in Differential Equations and Diophantine Geometry (Crm Monograph Series) by Andrei A. Bolibrukh, Sergei Yakovenko, Vadim Kaloshin, and Alexandru Buium Dana Schlomiuk, 2005-09-13
Diophantine Equations (Pure & Applied Mathematics)
Diophantus and Diophantine Equations (Dolciani Mathematical Expositions) by Isabella G. Bashmakova, 1998-06
Exponential Diophantine Equations (Cambridge Tracts in Mathematics) by T. N. Shorey, R. Tijdeman, 2008-12-04
Diophantine Equations and Power Integral Bases in Algebraic Number Fields by Istvan Gaal, 2002-04-26
Classical Diophantine Equations (Lecture Notes in Mathematics / LOMI and Euler International Mathematical Institute, St.Petersburg) by Vladimir G. Sprindzuk, 1994-02-18
The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (London Mathematical Society Student Texts) by Nigel P. Smart, 1999-01-13
Diophantine Equations and Inequalities in Algebraic Number Fields by Yuan Wang, 1991-03-20
Diophantine Approximations and Diophantine Equations (Lecture Notes in Mathematics) by Wolfgang M. Schmidt, 1991-09-18
Diophantine Equations over Function Fields (London Mathematical Society Lecture Note Series) by R. C. Mason, 1984-06-29
Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics) by Henri Cohen, 2010-11-02
An Introduction to Diophantine Equations: A Problem-Based Approach by Titu Andreescu, Dorin Andrica, et all 2010-09-13
Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields (New Mathematical Monographs) by Alexandra Shlapentokh, 2006-11-13

lists with details

Diophantine Equation - Wikipedia, The Free Encyclopedia
From MathWorld at Wolfram Research. Diophantine Equation. From PlanetMath. Retrieved from http//en.wikipedia.org/wiki/diophantine_equation
http://en.wikipedia.org/wiki/Diophantine_equation

Extractions: Jump to: navigation search In mathematics , a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve algebraic surface or more general object, and ask about the lattice points on it. The word Diophantine refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria , who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra . The mathematical study of Diophantine problems Diophantus initiated is now called "Diophantine analysis". A linear Diophantine equation is an equation between two sums of monomials of degree zero or one. While individual equations present a kind of puzzle and have been considered throughout history, the formulation of general theories of Diophantine equations (further to the theory of quadratic forms ) was an achievement of the twentieth century.
Diophantine Equation
An equation that has integer coefficients and for which integer solutions are required. Such equations are named after Diophantus.
http://www.daviddarling.info/encyclopedia/D/Diophantine_equation.html

Extractions: An equation that has integer coefficients and for which integer solutions are required. Such equations are named after Diophantus . The best known examples are those from Pythagoras's theorem, a b c , when a b , and c Pythagorean triplet . Despite their simple appearance Diophantine equations can be fantastically difficult to solve. A notorious example comes from Fermat's last theorem (recently solved), a n b n c n for n One of the challenges (the tenth one) that David Hilbert threw down to twentieth-century mathematicians in his famous list was to find a general method for solving equations of this type. In 1970, however, the Russian mathematician Yuri Matiyasevich showed that there is no general algorithm for determining whether a particular Diophantine equation is soluble: the problem is undecidable.
Diophantine Equation - English Dictionary
english to english dictionary containing references.
http://www.online-dictionary.biz/english/vocabulary/reference/diophantine_equati

Extractions: If you can't find the translation you need, try our free translation 1. Diophantine equation Equations with integer coefficients to which integer solutions are sought. Because the results are restricted to integers, different algorithms must be used from those which find real solutions. [More details?]
Diophantine Equation - Wikipedia
Diophantine equation. Diophantine equations are equations of the form f = 0, where f is a polynomial with integer coefficients in one or several variables
http://facetroughgemstones.com/wikipedia/di/Diophantine_equation.html

Extractions: Office Supplies Buy Posters A-Z Products Website Advertising ... Diophantine equations are equations of the form f = 0, where f is a polynomial with integer coefficients in one or several variables which take on integral values. They are named after Diophantus who studied equations with variables which take on rational values. Examples of Diophantine equations are The depth of the study of general Diophantine equations is shown by the characterisation of Diophantine sets as recursively enumerable The field of Diophantine approximation deals with the cases of Diophantine inequalities : variables are still supposed to be integral, but some coefficients may be irrational numbers, and the equality sign is replaced by upper and lower bounds. wikipedia.org
Diophantine Equation - AoPSWiki
Retrieved from http//www.mathlinks.ro/Wiki/index.php/diophantine_equation . Category Number Theory. Views. Article; Discussion; Edit; History; Move
http://www.mathlinks.ro/Wiki/index.php/Diophantine_equation

Extractions: Home A Diophantine equation is an equation relating integer (or sometimes natural number or whole number ) quanitites. Finding the solution or solutions to a Diophantine equation is closely tied to modular arithmetic and number theory . Often, when a Diophantine equation has infinitely many solutions, parametric form is used to express the relation between the variables of the equation. Diophantine equations are named for the ancient Greek/Alexandrian mathematician Diophantus. A Diophantine equation in the form is known as a linear combination. If two relatively prime integers and are written in this form with , the equation will have an infinite number of solutions. More generally, there will always be an infinite number of solutions when . If , then there are no solutions to the equation. To see why, consider the equation is a divisor of the LHS (also notice that must always be an integer). However
Algebraic.net - Math_Discover: Diophantine Equation
http//granite.sru.edu/~venkatra/diophantine_equation.htm. Mathematical Applets http//www.wikipedia.org/wiki/diophantine_equation. The Beal Conjecture
http://www.algebraic.net/math_discover/diophantine_equation.html

Extractions: Diophantine Equation: Geometric Theorems, Diophantine Equations, and Arithmetic Functions by Jozsef Sandor , June, 2002 Diophantus and Diophantine Equations by Isabella G. Bashmakova , November, 1997 The Algorithmic Resolution of Diophantine Equations : A Computational Cookbook by Nigel P. Smart , January, 1999 Diophantine Equations over Function Fields by R. C. Mason , July, 1984 Exponential Diophantine Equations by T. N. Shorey R. Tijdeman , March, 1987 Equations in Free Semigroups by Steklov Inst Math Academy Sci U.S.S.R. Staff , June, 1976 Diophantine Equations and Power Integral Bases: New Computational Methods by Istvan Gaal , May, 2002 Arithmetic of Algebraic Curves (Monographs in Contemporary Mathematics) by Serguel A. Stepanov Irene Aleksanova , December, 1994 Diophantine Approximations and Diophantine Equations (Lecture Notes in Mathematics, Vol. 1467) by Wolfgang M. Schmidt
Diophantine Equation - Wiktionary
Retrieved from http//en.wiktionary.org/wiki/diophantine_equation . Categories English nouns Number theory Mathematics Algebra
http://en.wiktionary.org/wiki/Diophantine_equation

Extractions: Diophantine equations Diophantine equation plural Diophantine equations Wikipedia has an article on: Diophantine equation Wikipedia number theory A polynomial equation whose variables are only permitted to assume integer values Retrieved from " http://en.wiktionary.org/wiki/Diophantine_equation Categories English nouns Number theory ... Algebra Views Personal tools Navigation Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 02:41, 2 February 2007. Content is available under GNU Free Documentation License About Wiktionary
2006-05-18 Wikipedia/32P 47;Comas_Solá 8.801 A 6.692 AU 2014 1944
diophantine_equation. name. 1657. time. France. name. Pierre_de_Fermat diophantine_equation. name. Quadratic_equation. name. Chakravala_method
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Pell's Equation
http//www.4reference.net/encyclopedias/wikipedia/diophantine_equation.html . http//opensite.org/Science/Mathematics/Number_Theory/diophantine_equation
http://www.scienceoxygen.com/math/317.html
CodeGuru Forums - [RESOLVED] Mathematical Formula
FWIW, I think these types of problems are called Diophantine equations http//en.wikipedia.org/wiki/diophantine_equation Similar, but not the same.
http://www.codeguru.com/forum/archive/index.php/t-441218.html

Extractions: Let me explain. If have used / seen Microsoft Excel's Solver utility, you'd know that I can tell Solver that I'm working with x amount ( say, 500000 ), and I need to buy at least 2 big cars, 3 medium cars, and 4 small cars with that 500000. Right, so now I can set Solver's constraints in order to achieve that. It show me that I can buy 10 small cars, 6 medium cars, and 6 big cars. If I were to change the original total to 490 000, it will show me that I can buy 5 small cars, 7 medium cars, and 7 big cars. So now, I think I'm looking for something similar to this. Basically, I need to be able to input 50 ( the theory section's total marks ), and be able to generate an automatic point scheme, with questions counting 2 marks, 3, 4, 5, and 1. I need to be able to give all available possibilities and have used all marks. Understand what I mean ¿
Talk:Diophantine Equation - AoPSWiki
Retrieved from http//www.artofproblemsolving.com/Wiki/index. php/Talkdiophantine_equation . Categories Words of the Week Article of the Day
http://www.artofproblemsolving.com/Wiki/index.php/Talk:Diophantine_equation
Diophantine Equation
Retrieved from http//en.wikipedia.org/wiki/diophantine_equation . Categories Diophantine equations. Source this wikipedia article, under GFDL.
http://www.algebra.com/algebra/homework/equations/Diophantine_equation.wikipedia

Extractions: Algebra: Equations Solvers Lessons ... In Depth Jump to: navigation search In mathematics , a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve algebraic surface or more general object, and ask about the lattice points on it. The word Diophantine refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria , who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra . The mathematical study of Diophantine problems Diophantus initiated is now called "Diophantine analysis". A linear Diophantine equation is an equation between two sums of monomials of degree zero or one.
Diophantine Equation - Indopedia, The Indological Knowledgebase
Retrieved from http//www.indopedia.org/diophantine_equation.html . This page has been accessed 1047 times. This page was last modified 0240,
http://www.indopedia.org/Diophantine_equation.html

Extractions: Printable version ... Wikipedia Article à¤à¥à¤à¤¾à¤¨à¤à¥à¤¶: - The Indological Knowledgebase In mathematics , a Diophantine equation is an equation between two polynomials with integer coefficients with any number of unknowns. A Diophantine problem is given as a Diophantine equation, whose solutions are the possible assignments of integers for the unknowns for which the equation is satisfied. The word Diophantine refers to the Greek mathematician of the third century A.D., Diophantus of Alexandria , who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra . The mathematical study of Diophantine problems Diophantus initiated is now called Diophantine analysis A linear Diophantine equation is an equation between two sums of monomials of degree zero or one. Contents showTocToggle("show","hide") 1 Examples of Diophantine equations
Diophantine Equation - ááªáªáµ á¦á§á¾á³ á¦�
Diophantine Equation. PlanetMath. http//chr. wikigadugi.org/wiki/diophantine_equation . Diophantine equations
http://chr.wikigadugi.org/wiki/Diophantine_equation

Extractions: Diophantine equation (á¢áá¦áá) indeterminate (á¤ááááá²) polynomial equation (á¢áá¦áá) á¾ á áµááªá¸áá á¯á variables (á§áá´áá¢) á¾áá integer (áá¦á) á¾áá© á¤á©á. Diophantine áá¦áááá á¤á á¦á²á³á¨á¢áá equations (áááá) á¬á¾á¬áá¬ unknown (á¤á¾áá) variables (á§áá´áá¢) á á´ á áá á¯ááá á¥á©ááá¬ integers (áá¦á) á¾ áá¦á¸á«áááá áªá¢á¯ááá¯ á¢á³ááµá equations (áááá). áá«á¾áá¢ á¤á á¢á¦á¢ á¤á¦áá áá¬á¿á á¦á¬áá¯áá, á¤áá á§áá¢áááá¯ algebraic (áááá) á áá²á² algebraic (áááá) á¦áá¢ lattice (áá¦á¾áá«áá) áªááá± Diophantine Hellenistic mathematician (áááá) á¯á 3rd ááªá¯á§á á§ááá´á, Diophantus , á¦áª áªá¢áá¯ á á¦áááá á¯áá¿ equations (áááá) á á´ á¥áááá© áá áªá·á©áá mathematicians (áááá) á¬áá¨á á¢á¯áááá symbolism (áá¬áá¶ááá) . á¯á mathematical (áá³áªá) á á¦áááá Diophantine áá¦áááá Diophantus initiated (á ááá³ááá) á¨áá¢ á¾á á¤á¯áá² "Diophantine áá«áªáá á¢á¬áá". linear (á ááááá) Diophantine equation (á¢áá¦áá) á¨áá¢ equation (á¢áá¦áá) á á°áµ ááµ sums (á¢á¦á¢) monomials áá¢á³á¢ á ááá´á«á equations (áááá) á¡áá á¤ááá á¤á¦áá á á´ ááµááá á á¦áááá áá¦áá¯á á§áá®áá©, á¯á formulation (á ááªáµáá¬) áá¦á¥ theories (áªá·á©áá) Diophantine equations (áááá) (á¤ááá¢ á¢áªá¯á áªá·á©áá
Keyword: Diophantine Equation
The Petri Nets Bibliography Keyword diophantine equation.
http://www.informatik.uni-hamburg.de/TGI/pnbib/keywords/d/diophantine_equation.h
Diophantine Equation - MathEclipse
symbolic math, eclipse, wiki, ajax, calculator, plotter, computer algebra, java, mathematic.
http://www.matheclipse.org/en/Diophantine_equation
Diophantine Equation | English | Dictionary & Translation By Babylon
Diophantine equation. Dictionary terms for Diophantine equation in English, English definition for Diophantine equation, Thesaurus and Translations of
http://www.babylon.com/definition/Diophantine_equation/English

Extractions: In mathematics , a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve algebraic surface or more general object, and ask about the lattice points on it.
Wiki Diophantine Equation
Wiki Diophantine equation. Contents 1. Examples of Diophantine equations 2. Diophantine analysis 2. 1. Typical questions
http://wapedia.mobi/en/Diophantine_equation
DIOPHANTINE EQUATION
Computing. Diophantine equation Equations with integer coefficients to which integer solutions are sought. Because the results are restricted to integers,
http://www.websters-online-dictionary.org/Di/Diophantine_equation.html
Diophantine Equation Definition - Dictionary - MSN Encarta
MSN homeMailMy MSNSign in. encartagreeting cardsmore. Envelope Hotmail im Messenger Figure of person in front of computer monitor My MSN
http://encarta.msn.com/dictionary_1861604809/diophantine_equation.html

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