Vorlesungen Ber Zahlentheorie Herausgegeben Von R Dedekind
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Vorlesungen Ber Zahlentheorie
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Author : Peter Gustav Lejeune Dirichlet
language : de
Publisher:
Release Date : 1863
Vorlesungen Ber Zahlentheorie written by Peter Gustav Lejeune Dirichlet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1863 with Number theory categories.
Dedekinds Theorie Der Ganzen Algebraischen Zahlen
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Author : Katrin Scheel
language : de
Publisher: Springer Spektrum
Release Date : 2020-11-27
Dedekinds Theorie Der Ganzen Algebraischen Zahlen written by Katrin Scheel and has been published by Springer Spektrum this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-27 with Mathematics categories.
Dieses Buch stellt anhand des Nachlasses von Richard Dedekind eine Rekonstruktion des überarbeiteten XI. Supplements zur geplanten 5. Auflage von P. G. Lejeune Dirichlets Vorlesungen über Zahlentheorie mit einem Kommentar von Peter Ullrich zur Verfügung. Die von Dedekind herausgegebenen und erweiterten "Vorlesungen über Zahlentheorie" seines Lehrers Dirichlet und vor allem die umfangreichen angefügten Supplemente gelten als eines der Hauptwerke Dedekinds. Für die Geschichte der modernen Algebra ist das XI. Supplement "Über die Theorie der ganzen algebraischen Zahlen" von besonderem Interesse, da es die Begründung der Idealtheorie darstellt. Dedekind bereitete zu Beginn des 20. Jahrhunderts eine 5. Auflage der Vorlesungen von Dirichlet mit überarbeiteten Supplementen vor, die aber nicht mehr veröffentlicht wurde. Die Autorin dieses Bandes hat die Transkriptionsarbeiten und Editierung aus dem Dedekind Nachlass vorgenommen und ein einführendes Kapitel hinzugefügt.
Vorlesungen Ber Zahlentheorie
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Author :
language : de
Publisher:
Release Date : 1863
Vorlesungen Ber Zahlentheorie written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1863 with categories.
Vorlesungen Ber Zahlentheorie
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Author : Peter Gustav Lejeune Dirichlet
language : de
Publisher:
Release Date : 1881
Vorlesungen Ber Zahlentheorie written by Peter Gustav Lejeune Dirichlet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Number theory categories.
The Richness Of The History Of Mathematics
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Author : Karine Chemla
language : en
Publisher: Springer Nature
Release Date : 2023-11-27
The Richness Of The History Of Mathematics written by Karine Chemla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-27 with Mathematics categories.
This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.
Lectures On The Theory Of Algebraic Numbers
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Author : E. T. Hecke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Lectures On The Theory Of Algebraic Numbers written by E. T. Hecke 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 2013-03-09 with Mathematics categories.
. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.
From Fermat To Minkowski
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Author : W. Scharlau
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
From Fermat To Minkowski written by W. Scharlau 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 2013-03-09 with Mathematics categories.
This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives.
Conflicts Between Generalization Rigor And Intuition
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Author : Gert Schubring
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-14
Conflicts Between Generalization Rigor And Intuition written by Gert Schubring 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 2005-06-14 with Mathematics categories.
This book deals with the development of the terms of analysis in the 18th and 19th centuries, the two main concepts being negative numbers and infinitesimals. Schubring studies often overlooked texts, in particular German and French textbooks, and reveals a much richer history than previously thought while throwing new light on major figures, such as Cauchy.
Richard Dedekind 1831 1981
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Author : Winfried Scharlau
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-07
Richard Dedekind 1831 1981 written by Winfried Scharlau and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.
An Introduction To The Theory Of Numbers
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Author : G. H. Hardy
language : en
Publisher: Oxford University Press
Release Date : 2008-07-31
An Introduction To The Theory Of Numbers written by G. H. Hardy and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-31 with Mathematics categories.
The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat's Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.