An introduction to diophantine equations : a problem-based approach
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the dec...
Guardat en:
| Autors principals: | , , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2010. |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to diophantine equations, a problem-based approach, Titu Andreescu, Dorin Andrica, Ion Cucurezeanu, 2010, New York, Birkhauser, 1 vol. (XI-345 p.), 978-0-8176-4548-9 • An Introduction to Diophantine Equations, Texte imprimé, 9780817672034 |
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| 100 | 1 | |a Andreescu, Titu, |d 1956- | |
| 245 | 1 | 0 | |a An introduction to diophantine equations : |b a problem-based approach |c by Titu Andreescu, Dorin Andrica, Ion Cucurezeanu. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Diophantine Equations Elementary Methods for Solving Diophantine Equations Some Classical Diophantine Equations Pell-Type Equations Some Advanced Methods for Solving Diophantine Equations Solutions to Exercises and Problems Solutions to Elementary Methods for Solving Diophantine Equations Solutions to Some Classical Diophantine Equations Solutions to Pell-Type Equations Solutions to Some Advanced Methods in Solving Diophantine Equations. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants - including Olympiad and Putnam competitors - as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques. | ||
| 700 | 1 | |a Andrica, Dorin, |d 1956- |4 aut | |
| 700 | 1 | |a Cucurezeanu, Ion. |4 aut | |
| 776 | 0 | |0 191149020 |t An introduction to diophantine equations |o a problem-based approach |f Titu Andreescu, Dorin Andrica, Ion Cucurezeanu |d 2010 |c New York |n Birkhauser |p 1 vol. (XI-345 p.) |z 978-0-8176-4548-9 | |
| 776 | 0 | |t An Introduction to Diophantine Equations |b Texte imprimé |z 9780817672034 | |
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