Mathematics

Algebraic Geometry and Number Theory

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Cryptography: Theory and Practice

4th Edition

Featured

Douglas Robert Stinson, Maura Paterson
August 14, 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 met...

Handbook of Finite Fields

1st Edition

Featured

Gary L. Mullen, Daniel Panario
June 17, 2013

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the bo...

Quadratic Irrationals: An Introduction to Classical Number Theory

1st Edition

Featured

Franz Halter-Koch
June 17, 2013

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic ...

An Invitation to the Rogers-Ramanujan Identities

1st Edition

Featured

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 al...

Extending Structures: Fundamentals and Applications

1st Edition

Ana Agore, Gigel Militaru
August 27, 2019

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem...

Combinatorics and Number Theory of Counting Sequences

1st Edition

Istvan Mezo
August 20, 2019

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations. The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those...

Algebraic Curves in Cryptography

1st Edition

San Ling, Huaxiong Wang, Chaoping Xing
June 12, 2019

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a...

Certain Number-Theoretic Episodes In Algebra, Second Edition

2nd Edition


March 26, 2019

The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book....

Generalized Trigonometric and Hyperbolic Functions

1st Edition

Ronald E. Mickens
January 14, 2019

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine...

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...

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