A gateway to number theory : applying the power of algebraic curves

A gateway to number theory : applying the power of algebraic curves /

"Challenge: Can you find all the integers a, b, c satisfying 2a²+3b²=5c²? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! There are infinitely many possibilities, and as any computer will tell you, each of a, b, c will usuall...

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Bibliographic Details
Main Author: Kendig, Keith, 1938- (Author)
Format: Book
Language:English
Published: Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, [2021]
Series:Dolciani mathematical expositions ; no. 57.
Subjects:
Diophantine equations.
Curves, Algebraic.
Number theory.
Équations diophantiennes.
Courbes algébriques.
Théorie des nombres.
Number theory > Instructional exposition (textbooks, tutorial papers, etc.)
Number theory > Diophantine equations [See also 11Gxx, 14Gxx] > Linear equations.
Number theory > Diophantine equations [See also 11Gxx, 14Gxx] > Quadratic and bilinear equations.
Number theory > Diophantine equations [See also 11Gxx, 14Gxx] > Cubic and quartic equations.
Number theory > Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] > Elliptic curves over global fields [See also 14H52].
Algebraic geometry > Curves > Special curves and curves of low genus.
Algebraic geometry > Curves > Elliptic curves [See also 11G05, 11G07, 14Kxx].

University Library Main Stacks, Lower Level

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Call Number: QA242 .K46 2021
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