Algebraische Zahlentheorie
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Algebraic Number Theory
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Author : Jürgen Neukirch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Algebraic Number Theory written by Jürgen Neukirch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples. It is the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available.
Algebraische Zahlentheorie Algebraic Theory Of Numbers Dt Bers V Wolfgang Schwarz
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Author : Hermann Weyl
language : en
Publisher:
Release Date : 1966
Algebraische Zahlentheorie Algebraic Theory Of Numbers Dt Bers V Wolfgang Schwarz written by Hermann Weyl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Zahlentheorie
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Author : Armin Leutbecher
language : de
Publisher: Springer
Release Date : 1996-09-03
Zahlentheorie written by Armin Leutbecher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-03 with Mathematics categories.
Auf der Grundlage der Mathematikkenntnisse des ersten Studienjahres bietet der Autor eine Einführung in die Zahlentheorie mit Schwerpunkt auf der elementaren und algebraischen Zahlentheorie. Das Buch wendet sich auch an Nichtspezialisten, denen es über die Zahlen frühzeitig den Weg in die Algebra öffnet. Angestrebte Ziele sind: Der Satz von Kronecker-Weber zur Krönung der Galois-Theorie, der Minkowskische Gitterpunktsatz, der Dirichletsche Primzahlsatz und die Bewertungstheorie der Körper.
Algebraische Zahlentheorie
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Author : Mathematisches Forschungsinstitut Oberwolfach
language : en
Publisher:
Release Date : 1994
Algebraische Zahlentheorie written by Mathematisches Forschungsinstitut Oberwolfach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Algebraische Zahlentheorie
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Author : Jürgen Neukirch
language : de
Publisher: Springer-Verlag
Release Date : 2006-11-22
Algebraische Zahlentheorie written by Jürgen Neukirch and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Mathematics categories.
Algebraische Zahlentheorie: eine der traditionsreichsten und aktuellsten Grunddisziplinen der Mathematik. Das vorliegende Buch schildert ausführlich Grundlagen und Höhepunkte. Konkret, modern und in vielen Teilen neu. Neu: Theorie der Ordnungen. Plus: die geometrische Neubegründung der Theorie der algebraischen Zahlkörper durch die "Riemann-Roch-Theorie" vom "Arakelovschen Standpunkt", die bis hin zum "Grothendieck-Riemann-Roch-Theorem" führt.
Einf Hrung In Die Algebraische Zahlentheorie
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Author : Alexander Schmidt
language : de
Publisher: Springer-Verlag
Release Date : 2007-03-11
Einf Hrung In Die Algebraische Zahlentheorie written by Alexander Schmidt and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-11 with Mathematics categories.
Einführung in die Grundgedanken der modernen algebraischen Zahlentheorie, einer der traditionsreichsten und besonders aktuellen Grunddisziplinen der Mathematik. Ausgehend von Themen, die üblicherweise der elementaren Zahlentheorie zugeordnet werden, führt sie anhand konkreter Probleme zu den Kerntechniken der modernen Theorie: Lokal-Global-Prinzipien für diophantische Gleichungen, die Dedekindsche Theorie der Ideale für den Fall quadratischer Zahlkörper, p-adische Zahlen. Zusätzlich beweist sie den berühmten Satz von Hasse-Minkowski über rationale quadratische Formen. Der technische Apparat wird nur in Bezug auf konkrete Fragen entwickelt.
Theory Of Algebraic Integers
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Author : Richard Dedekind
language : en
Publisher: Cambridge University Press
Release Date : 1996-09-28
Theory Of Algebraic Integers written by Richard Dedekind and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-28 with Mathematics categories.
A translation of a classic work by one of the truly great figures of mathematics.
A Course In Computational Algebraic Number Theory
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Author : Henri Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
A Course In Computational Algebraic Number Theory written by Henri Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.
Algebraic Numbers And Algebraic Functions
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Author : Emil Artin
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Algebraic Numbers And Algebraic Functions written by Emil Artin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Originated from the notes of a course given at Princeton University in 1950-1951, this text offers an introduction to algebraic numbers and algebraic functions. It starts with the general theory of valuation fields, proceeds to the local class field theory, and then to the theory of function fields in one variable.
A Textbook Of Algebraic Number Theory
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Author : Sudesh Kaur Khanduja
language : en
Publisher: Springer Nature
Release Date : 2022-04-26
A Textbook Of Algebraic Number Theory written by Sudesh Kaur Khanduja and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Mathematics categories.
This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics. The book discusses proofs of almost all basic significant theorems of algebraic number theory including Dedekind’s theorem on splitting of primes, Dirichlet’s unit theorem, Minkowski’s convex body theorem, Dedekind’s discriminant theorem, Hermite’s theorem on discriminant, Dirichlet’s class number formula, and Dirichlet’s theorem on primes in arithmetic progressions. A few research problems arising out of these results are mentioned together with the progress made in the direction of each problem. Following the classical approach of Dedekind’s theory of ideals, the book aims at arousing the reader’s interest in the current research being held in the subject area. It not only proves basic results but pairs them with recent developments, making the book relevant and thought-provoking. Historical notes are given at various places. Featured with numerous related exercises and examples, this book is of significant value to students and researchers associated with the field. The book also is suitable for independent study. The only prerequisite is basic knowledge of abstract algebra and elementary number theory.