Diophantine Equations and Power Integral Bases

New Computational Methods

Istvan Gaal (Autor)

Buch | Softcover

208 Seiten

2002
Birkhauser Boston Inc (Verlag)
978-0-8176-4271-6 (ISBN)

Infos

The text is illustrated with several tables of various number fields, including their data on power integral bases.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.

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Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.

Inhalt

Preface * Acknowledgements * Introduction * Auxiliary Results, Tools * Auxiliary Equations * Index Form Equations in General * Cubic Fields * Quartic Fields * Quintic Fields * Sextic Fields * Relative Power Integral Bases * Some Higher Degree Fields * Tables * References * Author Index * Subject Index

Produkt-Details

• Zusatzinfo: 208 p.
• Verlagsort: Secaucus
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 660 g
• Themenwelt: Informatik ► Theorie / Studium ► Algorithmen
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 0-8176-4271-4 / 0817642714
• ISBN-13: 978-0-8176-4271-6 / 9780817642716
• Zustand: Neuware