65 books (4 pages) in this category

Introduction to Number Theory

by Vazzana, Anthony

One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, <b>Introduction to Number Theory</b> uses worked ...

ISBN: 9781584889380

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Introduction to Number Theory, 2nd Edition

by Vazzana, Anthony

<P><STRONG>Introduction to Number Theory</STRONG> is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to ...

ISBN: 9781498717502

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Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications

by Bremner, Murray R.

<P>First developed in the early 1980s by Lenstra, Lenstra, and Lovász, the LLL algorithm was originally used to provide a polynomial-time algorithm for factoring polynomials with rational coefficients. It very quickly became an essential tool in

ISBN: 9781439807040

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Lectures on N_X(p)

by Serre, Jean-Pierre

<P><STRONG>Lectures on N<SUB>X</STRONG></SUB><STRONG>(p)</STRONG> deals with the question on how N<SUB>X</SUB>(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a ...

ISBN: 9781466501935

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Lectures on P-Adic L-Functions. (AM-74)

by Iwasawa, Kinkichi

<p>An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet.</p> <p>Professor Iwasawa reviews the classical

ISBN: 9781400881703

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Mathematical Foundations of Public Key Cryptography

by Wang, Xiaoyun

<P>In <B>Mathematical Foundations of Public Key Cryptography</B>, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice. The book ...

ISBN: 9781498702249

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Mathematics And The World's Most Famous Maths Problem: The Riemann Hypothesis

by Jeffrey Todd

<p>DESCRIPTION OF BOOK</p> <p>This book takes an analytical look at mathematics and provides some important suggestions. It also points towards a better way of thinking. Hopefully, this will induce the reader to be a better thinker, at least ...

ISBN: 9781519996619

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Mathematics for the Liberal Arts

by Donald Bindner, Martin J. Erickson & Joe Hemmeter

<p><strong>Presents a clear bridge between mathematics and the liberal arts</strong></p> <p><em>Mathematics for the Liberal Arts</em> provides a comprehensible and precise introduction to modern mathematics intertwined with the history of ...

ISBN: 9781118371749

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Modern Differential Geometry of Curves and Surfaces with Mathematica

by Elsa Abbena, Simon Salamon & Alfred Gray

<p>Presenting theory while using <em>Mathematica</em> in a complementary way, <strong>Modern Differential Geometry of Curves and Surfaces with Mathematica,</strong> the third edition of Alfred Gray’s famous textbook, covers how to define and ...

ISBN: 9781351992206

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Nonarchimedean Fields and Asymptotic Expansions

by Lightstone, A. H.

North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a ...

ISBN: 9781483257440

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Noncommutative Deformation Theory

by Eivind Eriksen, Olav Arnfinn Laudal & Arvid Siqveland

<p><strong>Noncommutative Deformation Theory</strong> is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with ...

ISBN: 9781351652124

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Number Theory

by Shailesh Shirali & C S Yogananda

Number Theory has fascinated mathematicians from the most ancient of times. A remarkable feature of number theory is the fact that there is something in it for everyone—from puzzle enthusiasts, problem solvers and amateur mathematicians to ...

ISBN: 9788173719837

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Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory

by Herrmann, Diane L.

<P>Through a careful treatment of number theory and geometry, <STRONG>Number, Shape,&nbsp;&amp; Symmetry: An Introduction to Number Theory, Geometry, and Group Theory</STRONG> helps readers understand serious mathematical ideas and proofs. ...

ISBN: 9781466554658

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Numeral Systems with Irrational Bases for Mission-Critical Applications

by Alexey Stakhov

<p>This volume is the result of the author's many-years of research in this field. These results were presented in the author's two books, <em>Introduction to the Algorithmic Measurement Theory</em> (Moscow, Soviet Radio, 1977), and <em>Codes of

ISBN: 9789813228634

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O-Minimality and Diophantine Geometry

by Jones, G. O.

This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre-Oort conjecture for products of modular curves. The basic strategy has three main ingredients:

ISBN: 9781316311080

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Period Spaces for "p"-divisible Groups (AM-141)

by Rapoport, Michael

<p>In this monograph <i>p</i>-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of <i>p</i>-adic period domains to moduli space of <i>p</i>-divisible groups is ...

ISBN: 9781400882601

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Primes of the Form x2+ny2

Fermat, Class Field Theory, and Complex Multiplication

by David A. Cox

<p><strong>An exciting approach to the history and mathematics of number theory</strong></p> <p>“. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” <em>—Mathematical ...

ISBN: 9781118400746

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Representation Theory and Higher Algebraic K-Theory

by Kuku, Aderemi

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic ...

ISBN: 9781420011128

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Semialgebraic Statistics and Latent Tree Models

by Zwiernik, Piotr

<P><STRONG>Semialgebraic Statistics and Latent Tree Models</STRONG> explains how to analyze statistical models with hidden (latent) variables. It takes a systematic, geometric approach to studying the semialgebraic structure of latent tree ...

ISBN: 9781466576223

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Some Applications of Modular Forms

by Sarnak, Peter

The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale ...

ISBN: 9780511899416

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