Buch, Englisch, 650 Seiten, Format (B × H): 161 mm x 241 mm, Gewicht: 1178 g
Tools and Diophantine Equations
Buch, Englisch, 650 Seiten, Format (B × H): 161 mm x 241 mm, Gewicht: 1178 g
Reihe: Graduate Texts in Mathematics
ISBN: 978-0-387-49922-2
Verlag: Springer
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. The book contains more than 350 exercises and the text is largely self-contained.
Zielgruppe
Graduate students, mathematicians, researchers
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Informatik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Algebra Zahlentheorie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
Weitere Infos & Material
to Diophantine Equations.- to Diophantine Equations.- Tools.- Abelian Groups, Lattices, and Finite Fields.- Basic Algebraic Number Theory.- p-adic Fields.- Quadratic Forms and Local-Global Principles.- Diophantine Equations.- Some Diophantine Equations.- Elliptic Curves.- Diophantine Aspects of Elliptic Curves.
