Primzahltests F R Einsteiger
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Primzahltests F R Einsteiger
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Author : Rebecca Waldecker
language : de
Publisher: Springer-Verlag
Release Date : 2015-12-14
Primzahltests F R Einsteiger written by Rebecca Waldecker and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-14 with Mathematics categories.
In diesem Buch geht es um den AKS-Algorithmus, den ersten deterministischen Primzahltest mit polynomieller Laufzeit. Er wurde benannt nach den Informatikern Agrawal, Kayal und Saxena, die ihn 2002 entwickelt haben. Primzahlen sind Gegenstand vieler mathematischer Probleme und spielen im Zusammenhang mit Verschlüsselungsmethoden eine wichtige Rolle. Das vorliegende Buch leitet den AKS-ALgorithmus in verständlicher Art und Weise her, ohne wesentliche Vorkenntnisse zu benötigen, und ist daher bereits für interessierte Gymnasialschüler(innen) zugänglich. Außerdem eignet sich das Buch von Studienbeginn an für Lehrveranstaltungen im Mathematik- oder Informatikstudium. Es kann schon in den ersten Semestern als Grundlage für zweistündige Vorlesungen oder (Pro-)Seminare dienen, ohne auf andere Lehrveranstaltungen (wie z. B. Zahlentheorie) zurückzugreifen, und ist daher im Bachelor- und Lehramtsstudium gut einsetzbar. Es gibt viele Aufgaben und weiterführende Anmerkungen sowie Lösungshinweise am Ende des Buches.
Primzahltests F R Einsteiger
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Author : Lasse Rempe-Gillen
language : de
Publisher: Vieweg+Teubner Verlag
Release Date : 2009-09-15
Primzahltests F R Einsteiger written by Lasse Rempe-Gillen and has been published by Vieweg+Teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-15 with Mathematics categories.
Das Buch richtet sich schon an interessierte Gymnasialschüler(innen), was bei Büchern mit einem aktuellen mathematischen Hintergrund ungewöhnlich ist. Primzahlen sind Gegenstand vieler mathematischer Probleme und spielen im Zusammenhang mit Verschlüsselungsmethoden eine wichtige Rolle. Im Jahr 2002 entwickelten die Informatiker Agrawal, Kayal und Saxena den jetzt nach ihnen benannten AKS-Algorithmus, den ersten deterministischen Primzahltest mit polynomieller Laufzeit. Das Buch leitet dieses bedeutende Resultat in einer verständlichen Art und Weise her, ohne wesentliche Vorkenntnisse zu benötigen. Es eignet sich außerdem von Studienbeginn an für Lehrveranstaltungen im Mathematik- oder Informatikstudium. Zu den einzelnen Abschnitten werden viele Aufgaben und weiterführende Anmerkungen gegeben, mit Lösungshinweisen am Ende des Buches.
Primality Testing For Beginners
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Author : Lasse Rempe-Gillen
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-12-11
Primality Testing For Beginners written by Lasse Rempe-Gillen 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 2013-12-11 with Mathematics categories.
How can you tell whether a number is prime? What if the number has hundreds or thousands of digits? This question may seem abstract or irrelevant, but in fact, primality tests are performed every time we make a secure online transaction. In 2002, Agrawal, Kayal, and Saxena answered a long-standing open question in this context by presenting a deterministic test (the AKS algorithm) with polynomial running time that checks whether a number is prime or not. What is more, their methods are essentially elementary, providing us with a unique opportunity to give a complete explanation of a current mathematical breakthrough to a wide audience. Rempe-Gillen and Waldecker introduce the aspects of number theory, algorithm theory, and cryptography that are relevant for the AKS algorithm and explain in detail why and how this test works. This book is specifically designed to make the reader familiar with the background that is necessary to appreciate the AKS algorithm and begins at a level that is suitable for secondary school students, teachers, and interested amateurs. Throughout the book, the reader becomes involved in the topic by means of numerous exercises.
Zahlentheorie F R Einsteiger
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Author : Andreas Bartholome
language : de
Publisher: Springer-Verlag
Release Date : 2013-04-17
Zahlentheorie F R Einsteiger written by Andreas Bartholome and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Dieses Buch richtet sich an Schüler, Lehrer, Studenten und andere Interessierte. Mit zahlreichen Aufgaben und Computerprogrammen. Die wichtigsten Inhalte sind die vollständige Induktion, der Euklidische Algorithmus, der kleine Fermatsche Satz und Pseudoprimzahlen, Primzahltests." Für die dritte Auflage wurde der Text überarbeitet und aktualisiert.
Zahlentheorie F R Einsteiger
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Author : Andreas Bartholomé
language : de
Publisher: Springer-Verlag
Release Date : 2010-02-11
Zahlentheorie F R Einsteiger written by Andreas Bartholomé and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-11 with Mathematics categories.
Dieses Buch richtet sich an Leser, die zum ersten Mal ins geheimnisvolle Reich der natürlichen Zahlen wandern wollen. Durch viele Aufgaben versucht es den Leser zu eigenen Fragen anzuregen. Es zeigt, wie man mit einfachen Mitteln den Rechenknecht Computer einsetzen kann, um schwierige Beispiele und Vermutungen zur Zahlentheorie zu finden. Ziel ist das Verständnis eines wichtigen Primzahltests. Auch die 7. Auflage soll ermuntern, Zahlentheorie in der Schule zu betreiben. An manchen Stellen wird die Kunst des Verallgemeinerns geübt. Sätze und Beweise, die von den natürlichen Zahlen bekannt sind, werden ausgedehnt auf andere Zahlbereiche (euklidische Ringe). Im Rückblick lernt man so die natürlichen Zahlen wieder besser kennen. Die vorliegende 7. Auflage wurde an einigen Stellen korrigiert und überarbeitet. Zusätzliche Aufgaben und Lösungen finden sich im Online-Service. Vollständige Induktion - Euklidischer Algorithmus - Der kleine Fermatsche Satz - Die Jagd nach großen Primzahlen - Studierende des Lehramts - Mathematiklehrer(innen) an Gymnasien - Schüler(innen) (Arbeitsgemeinschaften an Schulen) - Mathematiker(innen) mit Interessengebiet Zahlentheorie Dr. Andreas Bartholomé und Josef Rung unterrichten Mathematik und Physik am Hans-Leinberger-Gymnasium in Landshut. Dr. Hans Kern unterrichtet am Schyren-Gymnasium in Pfaffenhofen/Ilm Mathematik, Physik, Philosophie und Pädagogik.
Cryptology
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Author : Albrecht Beutelspacher
language : en
Publisher: MAA
Release Date : 1994
Cryptology written by Albrecht Beutelspacher and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Business & Economics categories.
The art & science of secret writing. Provides ideal methods to solve the problems of transmitting information secretly & securely.
Five Minute Mathematics
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Author : Ehrhard Behrends
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-01-01
Five Minute Mathematics written by Ehrhard Behrends 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 2008-01-01 with Mathematics categories.
This collection of one hundred short essays gives readers a grand tour through contemporary and everyday mathematics. Behrends provides classics from his newspaper column in Die Welt, expands and illustrates them, and gives readers just enough information at a time to build mastery of concepts and applications. The topics range from pure mathematics to applied math, but all essays are suspenseful and fun to read. This is a very handy tool for teachers of all levels of mathematics (even elementary school children will be able to handle some of the topics), and Behrends assumes his readership has and interest but only a minimal background in mathematics so the essays are accessible but not dumbed-down.
A Certain Ambiguity
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Author : Gaurav Suri
language : en
Publisher: Princeton University Press
Release Date : 2010-07-01
A Certain Ambiguity written by Gaurav Suri and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-01 with Fiction categories.
While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.
The Higher Arithmetic
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Author : Harold Davenport
language : en
Publisher:
Release Date : 2014-05-14
The Higher Arithmetic written by Harold Davenport and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.
Classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport.
A Beginners Guide To Python 3 Programming
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Author : John Hunt
language : en
Publisher: Springer Nature
Release Date : 2023-10-01
A Beginners Guide To Python 3 Programming written by John Hunt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-01 with Computers categories.
This textbook is aimed at readers who have little or no knowledge of computer programming but want to learn to program in Python. It starts from the very basics including how to install your Python environment, how to write a very simple program and run it, what a variable is, what an if statement is, how iteration works using for and while loops as well as important key concepts such as functions, classes and modules. Each subject area is prefaced with an introductory chapter, before continuing with how these ideas work in Python. The second edition has been completely updated for the latest versions of Python including Python 3.11 and Python 3.12. New chapters have been added such as those that consider where and how Python is used, the use of Frozensets, how data can be sorted, enumerated types in Python, structural pattern matching and how (and why) Python Virtual Environments are configured. A new chapter ‘The Python Bites back’ is introduced to present the fourteen most common / biggest gotchas for someone new to Python. Other sections have been updated with new features such as Exception Groups, string operations and dictionary operations. A Beginners Guide to Python 3 Programming second Edition provides all you need to know about Python, with numerous examples provided throughout including several larger worked case studies illustrating the ideas presented in the previous chapters.
