Kategoria BISAC: Mathematics >> Number Theory

The role of human rights in United States policy toward Latin America is the subject of this study. It covers the early sixties to 1980, a period when humanitarian values came to play an important role in determining United States foreign policy. The author is concerned both with explaining why these values came to impinge on government decision making and how internal bureaucratic processes affected the specific content of United States policy.

Originally published in 1981.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available...

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas.

The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the text covers linear Diophantine equations; unique factorization; congruences; Fermat s, Euler s, and Wilson s theorems; order and primitive roots; and quadratic reciprocity. The authors also discuss numerous...

This volume of papers presented at the conference in honor of Calixto P. Calderon by his friends, colleagues, and students is intended to make the mathematical community aware of his important scholarly and research contributions in contemporary Harmonic Analysis and Mathematical Models applied to Biology and Medicine, and to stimulate further research in the future in this area of pure and applied mathematics.

Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collected in this volume. Besides his own personal career in mathematics and cryptography, Koblitz details his travels to the Soviet Union, Latin America, Vietnam and elsewhere; political activism; and academic controversies relating to math education, the C. P. Snow "two-culture" problem, and mistreatment of women in academia. These engaging stories fully capture the experiences of a student and later a scientist caught up in the tumultuous events of...

Das Buch bietet eine neue Stoffzusammenstellung, die elementare Themen aus der Algebra und der Zahlentheorie verknupft und fur die Verwendung in Bachelorstudiengangen und modularisierten Lehramtsstudiengangen konzipiert ist. Es fuhrt die abstrakten Konzepte der Algebra in stetem Kontakt mit konkreten Problemen der elementaren Zahlentheorie und mit Blick auf Anwendungen ein und bietet Ausblicke auf fortgeschrittene Themen. In beiden Gebieten wird ein Stand erreicht, der fur Nichtspezialisten das notige Handwerkszeug fur die meisten Anwendungen (etwa in diskreter Mathematik, Kryptographie...

Wenn heutzutage Mathematik auf dem Speiseplan steht, kommen bei Schulern eher selten Begeisterungssturme auf. Auch Lehrer, die noch wissen, was man vor 30 Jahren am Gymnasium unterrichtet hat, haben bisweilen das Gefuhl, dass das Fach Mathematik in der Kursstufe in manchen Bundeslandern nach den Reformen der letzten Jahre zur mathematikfreien Zone degeneriert ist. So wie die Werbung uns glauben macht, ein Produkt aus Gelatine und kunstlichen Aromen sei eine gesunde Zwischenmahlzeit, so wollen uns manche Didaktiker erklaren, im heutigen Unterricht wurden einfach nur andere Kompetenzen...

In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in...

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...

Verstandnis der Konzepte statt blosses Auswendiglernen steht hier im Vordergrund. Und doch wird das komplette Grundwissen uber algebraische Strukturen und Zahlentheorie vermittelt - essentiell fur jede weitere mathematische Ausbildung und Anwendung Erreicht wird dies durch die logische Struktur der Kapitel, mit einer Vielzahl von Beispielen, Abbildungen und erprobten Ubungen. Damit ist das Buch ideal fur das vorlesungsbegleitende Selbststudium und als Leitfaden fur Lehrende. Nebenbei findet ein erster Kontakt mit dem hochaktuellen Gebiet der Computeralgebra statt. Am Ende steht die...

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This volume is a continuation and an in-depth study, stressing the non-commutative nature of the first two volumes of Algebras, Rings and Modules by M. Hazewinkel, N. Gubareni, and V. V. Kirichenko. It is largely independent of the other...