Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Diophantine Equations and Systems: An Introduction: A systematic approach to problem solving

Diophantine Equations and Systems: An Introduction: A systematic approach to problem solving

Kanoussis Ph. D., Demetrios P.

Paperback

Series: College Algebra, Book 4

General Mathematics

ISBN13: 9798884186637
Publisher: Independently Published
Published: Mar 8 2024
Pages: 96
Weight: 0.40
Height: 0.20 Width: 7.00 Depth: 10.00
Language: English
Diophantine equations are polynomial equations with integer coefficients for which only integer solutions are sought. In his great work Arithmetica, the Greek mathematician Diophantus of Alexandria, (born in Alexandria Egypt in 200 AD and died in 284 AD), known as the father of Algebra, studied and solved such types of equations, (integer coefficients and integer solutions), of the first up to the fourth degree. These equations are now known as Diophantine equations. A characteristic feature of Diophantine equations is that in these equations the number of equations is smaller than the number of unknowns. For example, we may have one equation with two unknowns, or one equation with three unknowns, or a system of two equations with three unknowns, etc. While in the set of real numbers R these types of equations, (fewer equations than number of unknowns), are indeterminate, in the set of integers Z={... -3, -2, -1,0,1,2,3, ...} or in the set of natural numbers N={1,2,3,4, ...}, these equations may or may not have integer solutions, (depending on the coefficients of the equations).

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