电子书 > 科学 > 数学 > Gernot Stroth: Elementare Algebra und Zahlentheorie (PDF)

Gernot Stroth
Elementare Algebra und Zahlentheorie [PDF ebook]

支持

的封面 Gernot Stroth: Elementare Algebra und Zahlentheorie (PDF)

Dieses Buch behandelt die Grundlagen der Algebra und der elementaren Zahlentheorie. Zentrale Begriffe sind Primelemente und irreduzible Elemente. Ausgehend vom Aufbau einer Arithmetik in Hauptidealringen und insbesondere euklidischen Ringen sind die zentralen Themen zum einen irreduzible Polynome, zum anderen Primzahlen. Dies führt zu den algebraischen Körpererweiterungen und zu Fragen nach der Konstruktion mit Zirkel und Lineal. Nach einem längeren Ausflug in die Gruppentheorie bis zum Sylow-Satz und den auflösbaren Gruppen wird die Idee der Galoistheorie exemplarisch an der Frage der Auflösbarkeit von Polynomgleichungen behandelt. Zentrale Begriffe der Zahlentheorie sind die Primzahlen. Behandelt werden die Verteilung von Primzahlen, Primzahlformeln, Carmichaelzahlen, Kongruenzen, der Chinesische Restsatz und quadratische Reste bis hin zum quadratischen Reziprozitätsgesetz.

€12.85

购买此电子书可免费获赠一本！

语言德语 ● 格式 PDF ● ISBN 9783034605021 ● 出版者 Springer Basel ● 发布时间 2012 ● 下载 3 时 ● 货币 EUR ● ID 2684723 ● 复制保护 Adobe DRM

需要具备DRM功能的电子书阅读器

来自同一作者的更多电子书 / 编辑

49,474 此类电子书

的封面 Gary L. (The Pennsylvania State University, University Park, USA) Mullen & James A. (The Pennsylvania State University, University Park, USA) Sellers: Abstract Algebra

Gary L. (The Pennsylvania State University, University Park, USA) Mullen & James A. (The Pennsylvania State University, University Park, USA) Sellers: Abstract Algebra

Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from th …

的封面 Lakshmikantham: nonlinear analysis and applications

Lakshmikantham: nonlinear analysis and applications

This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on ‘Nonlinear Analysis and Applications’ including pa …

的封面 Robert DeHoff: Thermodynamics in Materials Science

Robert DeHoff: Thermodynamics in Materials Science

Thermodynamics in Materials Science, Second Edition is a clear presentation of how thermodynamic data is used to predict the behavior of a wide range of materials, a crucial component in the decision …

的封面 Irina V. (Institute of Mathematics and Computer Sciences, Ural Federal University, Yekaterinburg, Russia) Melnikova: Stochastic Cauchy Problems in Infinite Dimensions

Irina V. (Institute of Mathematics and Computer Sciences, Ural Federal University, Yekaterinburg, Russia) Melnikova: Stochastic Cauchy Problems in Infinite Dimensions

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to n …

的封面 Hadley Wickham: Advanced R, Second Edition

Hadley Wickham: Advanced R, Second Edition

Advanced R helps you understand how R works at a fundamental level. It is designed for R programmers who want to deepen their understanding of the language, and programmers experienced in other langu …

的封面 Gyorgy Kiss & Tamas Szonyi: Finite Geometries

Gyorgy Kiss & Tamas Szonyi: Finite Geometries

Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope. The authors thoroughly explain how the subject of finite geometries is a central p …

的封面 Louis (Siemens, Cypress, California, USA) Komzsik: Applied Calculus of Variations for Engineers, Third edition

Louis (Siemens, Cypress, California, USA) Komzsik: Applied Calculus of Variations for Engineers, Third edition

Calculus of variations has a long history. Its fundamentals were laid down by icons of mathematics like Euler and Lagrange. It was once heralded as the panacea for all engineering optimization proble …

的封面 Gerhard X. Ritter & Gonzalo Urcid: Introduction to Lattice Algebra

Gerhard X. Ritter & Gonzalo Urcid: Introduction to Lattice Algebra

Lattice theory extends into virtually every branch of mathematics, ranging from measure theory and convex geometry to probability theory and topology. A more recent development has been the rapid esc …

的封面 Miranda Kathleen & Michael Sullivan: Calculus for the AP® Course

Miranda Kathleen & Michael Sullivan: Calculus for the AP® Course

From one of today’s most accomplished and trusted mathematics authors comes a new textbook that offers unmatched support for students taking the AP® Calculus exam, and comes with additional resources …

的封面 Dimitris Koukoulopoulos: Distribution of Prime Numbers

Dimitris Koukoulopoulos: Distribution of Prime Numbers

Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic …