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#### Elementary Number Theory

Dover Publications 2012; US$ 14.95This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and the Fermat conjecture for exponents three and four. The text contains abundant numerical examples and a particularly helpful collection of exercises,... more...

#### Elementary Number Theory with Programming

Wiley 2015; US$ 89.95A successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts... more...

#### Elementary Theory of Numbers

Dover Publications 2014; US$ 7.99Superb introduction for readers with limited formal mathematical training. Topics include Euclidean algorithm and its consequences, congruences, powers of an integer modulo m, continued fractions, Gaussian integers, Diophantine equations, more. Carefully selected problems included throughout, with answers. Only high school math needed. Bibliography.... more...

#### Elliptic Curves and Big Galois Representations

Cambridge University Press 2008; US$ 80.00Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists. more...

#### Essays on the Theory of Numbers

Dover Publications 2012; US$ 9.95This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational... more...

#### Fibonacci Numbers

Dover Publications 2013; US$ 9.95An engaging treatment of an 800-year-old problem explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. Its entertaining style will appeal to recreational readers and students alike. more...

#### The Fourier-Analytic Proof of Quadratic Reciprocity

Wiley 2011; US$ 188.00A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity. The relative quadratic case was first settled by Hecke in 1923, then recast by Weil in 1964 into the language of unitary group representations. The analytic proof of the general n-th order case is still an open problem today, going back to the end of Hecke's... more...

#### Fundamentals of Number Theory

Dover Publications 2014; US$ 14.95This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given ? making the book self-contained in this respect. The author begins with an introductory chapter... more...

#### The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

Princeton University Press 2001; US$ 97.00This book aims first to prove the local Langlands conjecture for GL n over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "simple" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally... more...

#### Gesammelte Abhandlungen

Springer Berlin Heidelberg 2013; US$ 54.99Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser... more...