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Mathematics
Number Theory


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Approximately Calculus
Approximately Calculus
by Shahriar Shahriari
Publisher Comments
Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this... (read more)

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Publications of the Mathematical Society of Japan #11: Introduction to Arithmetic Theory of Automorphic Functions
Publications of the Mathematical Society of Japan #11: Introduction to Arithmetic Theory of Automorphic Functions
by Goro Shimura
Publisher Comments
The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular... (read more)

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Introduction To the Theory of Numbers (5TH 91 Edition)
Introduction To the Theory of Numbers (5TH 91 Edition)
by Ivan Niven
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The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem... (read more)

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A Course in Algebraic Number Theory
A Course in Algebraic Number Theory
by Robert B Ash
Publisher Comments
This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. It illustrates the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds... (read more)

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Intro Sieve Methods Applications
Intro Sieve Methods Applications
by Alina Cojocaru
Publisher Comments
Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers,... (read more)

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Invitation to the Mathematics of Fermat-Wiles
Invitation to the Mathematics of Fermat-Wiles
by Yves Hellegouarch
Publisher Comments
upérieure in Paris. He has been teaching at the University of Caen since 1970. In 1972 he wrote a thesis on "Elliptic curves and Fermat's equation".... (read more)

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The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics
The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics
by Marcus Du Sautoy
Publisher Comments
In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change the history of mathematics. The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not... (read more)

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The Theory of Algebraic Number Fields
The Theory of Algebraic Number Fields
by David Hilbert
Publisher Comments
This book is an English translation of Hilbert's Zahlbericht, the monumental report on the theory of algebraic number field which he composed for the German Mathematical Society. In this magisterial work Hilbert provides a unified account of the... (read more)

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An Adventurer's Guide to Number Theory
An Adventurer's Guide to Number Theory
by Richard Friedberg
Publisher Comments
This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, related theorems, explored in imaginative chapters such as "Seven jogged my elbow," ... (read more)

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Number Theory 2
Number Theory 2
by K. Kato
Book News Annotation
Kato (U. of Chicago), Kurokawa (Tokyo Institute of Technology), and Saito (U. of Tokyo) explore similarities between algebraic number fields and algebraic function fields in one variable over finite fields, explain adele rings and idele groups, derive... (read more)

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Transcendental Number Theory
Transcendental Number Theory
by Alan Baker
Publisher Comments
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a... (read more)

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P Adic Numbers P Adic Analysis Zeta 2ND Edition
P Adic Numbers P Adic Analysis Zeta 2ND Edition
by Neal Koblitz
Publisher Comments
The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include... (read more)

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Graduate Texts in Mathematics #84: A Classical Introduction to Modern Number Theory
Graduate Texts in Mathematics #84: A Classical Introduction to Modern Number Theory
by Kenneth F. Ireland
Publisher Comments
This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new... (read more)

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The Theory of Partitions (Cambridge Mathematical Library)
The Theory of Partitions (Cambridge Mathematical Library)
by George E. Andrews
Publisher Comments
Discusses mathematics related to partitions of numbers into sums of positive integers.... (read more)

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Tauberian Theory
Tauberian Theory
by Jacob Korevaar
Publisher Comments
Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert... (read more)

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Factorization and primality testing
Factorization and primality testing
by David M. Bressoud
Publisher Comments
"This book focuses on a single problem: how to factor a large integer or prove its prime. From the Sieve of Eratosthenes of ancient Greece to the Multiple Polynomial Quadratic Sieve and the Elliptic Curve Methods discovered in the past few years, this... (read more)

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One To Nine (10 Edition)
One To Nine (10 Edition)
by Hodges
Publisher Comments
What Lynn Truss did for grammar in Eats, Shoots & Leaves, Andrew Hodges has done for mathematics. In One to Nine, Hodges, one of Britain's leading biographers and mathematical writers, brings numbers to three-dimensional life in this delightful and... (read more)

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Graduate Texts in Mathematics #41: Modular Functions and Dirichlet Series in Number Theory
Graduate Texts in Mathematics #41: Modular Functions and Dirichlet Series in Number Theory
by Tom M. Apostol
Publisher Comments
A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function... (read more)

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Annals of Mathematics Studies #147: Euler Systems. (Am-147)
Annals of Mathematics Studies #147: Euler Systems. (Am-147)
by Karl Rubin
Publisher Comments
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor... (read more)

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L-Functions in Arithmetic
L-Functions in Arithmetic
by J. Coates
Publisher Comments
This volume will be of lasting value to students and researchers working in this area.... (read more)

Your price: $101.95
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