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Anotace knihy

This book is a collection of lecture notes from the Graduate Summer School ""Number Theory Informed by Computation"" held at the IAS/Park City Mathematics Institute 2022. The lectures address topics at the interface between number theory and computation, both terms interpreted broadly. Included are lectures on polynomial-time algorithms for problems in algebraic number theory, algorithms for counting points on mod $p$ reduction of a variety working with many values of $p$ simultaneously, arithmetic statistics, the theory of lattices, Brauer-Manin obstruction, the theory of rigid cocycles, and the inverse Galois problem. The volume starts with the notes of Hendrik Lenstra's public lecture, aimed at a general audience, where the speaker explains how modern abstract algebra can be used to explain concrete properties of integers. This volume is aimed at students with a background in graduate level number theory. For some expositions, undergraduate abstract algebra may be sufficient, while others might require basic algebraic geometry.

Parametry knihy

• Plný název: Number Theory Informed by Computation
• Autor: Jennifer S. Balakrishnan, Bjorn Poonen, Akshay Venkatesh
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 326
• EAN: 9781470461249
• ISBN: 1470461242
• ID: 50200110
• Nakladatelství: John Wiley & Sons Inc
• Hmotnost: 666 g
• Rozměry: 254 × 178 × 15 mm
• Datum vydání: 18. January 2026

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