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Mathematik La Carte Babylonische Algebra


Mathematik La Carte Babylonische Algebra
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Mathematik La Carte Babylonische Algebra


Mathematik La Carte Babylonische Algebra
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Author : Franz Lemmermeyer
language : de
Publisher: Springer Spektrum
Release Date : 2022-10-20

Mathematik La Carte Babylonische Algebra written by Franz Lemmermeyer and has been published by Springer Spektrum this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-20 with Mathematics categories.


Algebra ohne Buchstaben - geht das? Das geht in der Tat: Schon vor 4000 Jahren haben die Babylonier herausgefunden, wie man quadratische Gleichungen löst; das Rechnen mit Buchstaben, wie wir es auf der Schule gelernt haben, ist dagegen kaum ein halbes Jahrtausend alt. Antworten auf die Frage, wie die Babylonier dabei vorgegangen sind, gibt dieses Buch. Aufbauend auf der Mathematik der ersten neun Schuljahre wird erklärt, wie die Babylonier ihre Zahlen geschrieben haben, wie sie die Grundrechenarten ausgeführt und Wurzeln berechnet haben, und wie sie quadratische Probleme formuliert und dann mit geometrischen Mitteln gelöst haben. Die Virtuosität, mit der sie ihre vergleichsweise bescheidenen Techniken angewandt haben, ist teilweise atemberaubend. Wer sich für einen elementaren Zugang in die Welt der babylonischen Algebra interessiert, wird um dieses Buch kaum herumkommen. Vom gleichen Autor ist in der Reihe bereits erschienen: Mathematik à la Carte - Elementargeometrie an Quadratwurzeln mit einigen geschichtlichen Bemerkungen sowie Mathematik à la Carte - Quadratische Gleichungen mit Schnitten von Kegeln. Der Autor Franz Lemmermeyer hat nach seiner Promotion in Heidelberg und seiner Habilitation in Bonn an Universitäten in den USA und in der Türkei gelehrt und unterrichtet seit 2007 Mathematik am Gymnasium St. Gertrudis in Ellwangen.



Mathematik La Carte


Mathematik La Carte
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Author : Franz Lemmermeyer
language : de
Publisher:
Release Date : 2022

Mathematik La Carte written by Franz Lemmermeyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Algebra categories.




Quadratic Number Fields


Quadratic Number Fields
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Author : Franz Lemmermeyer
language : en
Publisher: Springer Nature
Release Date : 2021-09-18

Quadratic Number Fields written by Franz Lemmermeyer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-18 with Mathematics categories.


This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.



Reciprocity Laws


Reciprocity Laws
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Author : Franz Lemmermeyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Reciprocity Laws written by Franz Lemmermeyer 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 book covers the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.



Gender And Methodology In The Ancient Near East Approaches From Assyriology And Beyond


Gender And Methodology In The Ancient Near East Approaches From Assyriology And Beyond
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Author : Stephanie Lynn Budin
language : en
Publisher: Edicions Universitat Barcelona
Release Date : 2018-10-04

Gender And Methodology In The Ancient Near East Approaches From Assyriology And Beyond written by Stephanie Lynn Budin and has been published by Edicions Universitat Barcelona this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-04 with Social Science categories.


This collection of 23 essays, presented in three sections, aims to discuss women’s studies as well as methodological and theoretical approaches to gender within the broad framework of ancient Near Eastern studies. The first section, comprising most of the contributions, is devoted to Assyriology and ancient Near Eastern archaeology. The second and third sections are devoted to Egyptology and to ancient Israel and biblical studies respectively, neighbouring fields of research included in the volume to enrich the debate and facilitate academic exchange. Altogether these essays offer a variety of sources and perspectives, from the textual to the archaeological, from bodies and sexuality to onomastics, to name just a few, making this a useful resource for all those interested in the study of women and gender in the past.



Emil Artin And Helmut Hasse


Emil Artin And Helmut Hasse
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Author : Günther Frei
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-16

Emil Artin And Helmut Hasse written by Günther Frei 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 2014-01-16 with Mathematics categories.


This volume consists of the English translations of the letters exchanged between Emil Artin to Helmut Hasse written from 1921 until 1958. The letters are accompanied by extensive comments explaining the mathematical background and giving the information needed for understanding these letters. Most letters deal with class field theory and shed a light on the birth of one of its most profound results: Artin's reciprocity law.



Correspondence Of Leonhard Euler With Christian Goldbach


Correspondence Of Leonhard Euler With Christian Goldbach
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Author : Leonhard Euler
language : en
Publisher: Birkhäuser
Release Date : 2015-09-08

Correspondence Of Leonhard Euler With Christian Goldbach written by Leonhard Euler and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-08 with Mathematics categories.


When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years. This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765. Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.



The Quadratic Reciprocity Law


The Quadratic Reciprocity Law
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Author : Oswald Baumgart
language : en
Publisher: Birkhäuser
Release Date : 2015-05-27

The Quadratic Reciprocity Law written by Oswald Baumgart and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-27 with Mathematics categories.


This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart’s comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix. This book will appeal to all readers interested in elementary number theory and the history of number theory.



Traditions Of Theology


Traditions Of Theology
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Author : Dorothea Frede
language : en
Publisher: BRILL
Release Date : 2002

Traditions Of Theology written by Dorothea Frede and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Religion categories.


Articles in this volume, orginally presented at the 1998 Symposium Hellenisticum in Lille, discuss theological questions that were central to the doctrines of the dominant schools in the Hellenistic age, such as the existence of the gods, their nature, and their concern for humankind.



Time Of The Magicians


Time Of The Magicians
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Author : Wolfram Eilenberger
language : en
Publisher: Penguin
Release Date : 2021-08-17

Time Of The Magicians written by Wolfram Eilenberger and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-17 with Biography & Autobiography categories.


“[A] fascinating and accessible account . . . In his entertaining book, Mr. Eilenberger shows that his magicians’ thoughts are still worth collecting, even if, with hindsight, we can see that some performed too many intellectual conjuring tricks.” —Wall Street Journal A grand narrative of the intertwining lives of Walter Benjamin, Martin Heidegger, Ludwig Wittgenstein, and Ernst Cassirer, major philosophers whose ideas shaped the twentieth century The year is 1919. The horror of the First World War is fresh for the protagonists of Time of the Magicians, each of whom finds himself at a crucial juncture. Benjamin is trying to flee his overbearing father and floundering in his academic career, living hand to mouth as a critic. Wittgenstein, by contrast, has dramatically decided to divest himself of the monumental fortune he stands to inherit, in search of spiritual clarity. Meanwhile, Heidegger, having managed to avoid combat in war by serving as a meteorologist, is carefully cultivating his career. Finally, Cassirer is working furiously on the margins of academia, applying himself to his writing and the possibility of a career at Hamburg University. The stage is set for a great intellectual drama, which will unfold across the next decade. The lives and ideas of this extraordinary philosophical quartet will converge as they become world historical figures. But as the Second World War looms on the horizon, their fates will be very different.