Mathematics

Algebraic Geometry and Number Theory

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Pencils of Cubics and Algebraic Curves in the Real Projective Plane

1st Edition

Séverine Fiedler - Le Touzé
November 26, 2018

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP². Especially how it is the data describing the mutual position of each point with respect to lines and conics passing through others. The first section...

Handbook of Mellin Transforms

1st Edition

Yu. A. Brychkov, O. I. Marichev, N. V. Savischenko
October 02, 2018

The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and integral equations and the theory of Dirichlet series. It is found in extensive applications in mathematical physics, number theory, mathematical statistics...

Cryptography: Theory and Practice

4th Edition

Douglas Robert Stinson, Maura Paterson
September 11, 2018

Through three editions, Cryptography: Theory and Practice, has been embraced by instructors and students alike. It offers a comprehensive primer for the subject’s fundamentals while presenting the most current advances in cryptography. The authors offer comprehensive, in-depth treatment of the...

Gorenstein Homological Algebra

1st Edition

Alina Iacob
August 10, 2018

Gorenstein homological algebra is an important area of mathematics, with applications in commutative and noncommutative algebra, model category theory, representation theory, and algebraic geometry. While in classical homological algebra the existence of the projective, injective, and flat...

Introduction to Geometric Algebra Computing

1st Edition

Dietmar Hildenbrand
July 19, 2018

From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature…I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book,...

An Introduction to Number Theory with Cryptography

2nd Edition

James Kraft, Lawrence Washington
January 31, 2018

Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory. The authors have written the text in an engaging style...

Algebraic Numbers and Algebraic Functions

1st Edition

P.M. Cohn
November 29, 2017

This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In...

An Invitation to the Rogers-Ramanujan Identities

1st Edition

Andrew V. Sills
October 12, 2017

The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator...

Beyond First Order Model Theory, Volume I

1st Edition

Jose Iovino
August 15, 2017

Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for...

Computation with Linear Algebraic Groups

1st Edition

Willem Adriaan de Graaf
August 11, 2017

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with...

Advanced Number Theory with Applications

1st Edition

Richard A. Mollin
June 07, 2017

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page...

Noncommutative Deformation Theory

1st Edition

Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland
April 25, 2017

Noncommutative Deformation Theory 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 applications to the study of moduli spaces of representations of associative...

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