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Quadratic Diophantine Equations
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open probl...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | Developments in Mathematics,
40 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-54109-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220116162347.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150629s2015 xxu| s |||| 0|eng d | ||
| 020 | |a 9780387541099 |9 978-0-387-54109-9 | ||
| 024 | 7 | |a 10.1007/978-0-387-54109-9 |2 doi | |
| 050 | 4 | |a QA241-247.5 | |
| 072 | 7 | |a PBH |2 bicssc | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
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| 100 | 1 | |a Andreescu, Titu. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Quadratic Diophantine Equations |h [electronic resource] / |c by Titu Andreescu, Dorin Andrica. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2015. | |
| 300 | |a XVIII, 211 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Developments in Mathematics, |x 2197-795X ; |v 40 | |
| 505 | 0 | |a Why Quadratic Diophantine Equations? -- Continued Fractions, Diophantine Approximation and Quadratic Rings -- Pell's Equation -- General Pell's Equation -- Equations Reducible to Pell's Type Equations -- Diophantine Representations of Some Sequences -- Other Applications. | |
| 520 | |a This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis. | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Algebra. | |
| 650 | 1 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Algebra. |
| 700 | 1 | |a Andrica, Dorin. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780387563787 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387351568 |
| 776 | 0 | 8 | |i Printed edition: |z 9781493938803 |
| 830 | 0 | |a Developments in Mathematics, |x 2197-795X ; |v 40 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-387-54109-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||