Number theory

This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research.

An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject.

Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory.

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.

Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs.

Thirty years after RSA was first publicized, it remains an active research area.

Discussing many results and studies from the literature, this work illustrates the value of Fourier series methods in solving difficult nonlinear PDEs.

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.

Although much literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level.

The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications.

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals.

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.

Once the privilege of a secret few, cryptography is now taught at universities around the world.

Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this areaPearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures.

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials.

This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem.

New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them.

This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians researching and curating creative pedagogies at the intersection of mathematics and the arts.

This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry.

This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians researching and curating creative pedagogies at the intersection of mathematics and the arts.

This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry.

Mathematical Meditations identifies, explores, and celebrates those aspects of mathematics that are good for you and your overall wellbeing.

Mathematical Meditations identifies, explores, and celebrates those aspects of mathematics that are good for you and your overall wellbeing.

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas.

This is a unique book that teaches mathematics and its history simultaneously.

Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field.

This book is based on a course given by the author at Harvard University in the fall semester of 1988.

The two works titled "e;What Are and What Should the Numbers Be?

This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equation's size, order all polynomial Diophantine equations by size, and then solve the equations in order.

This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equation's size, order all polynomial Diophantine equations by size, and then solve the equations in order.

An Exploration of Mathematical CohesionEmbark on a journey through the intricate realms of mathematics with Mathematical Unity: The Langlands Programme and Beyond.

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

Illustrating the power of algorithms, Algorithmic Cryptanalysis describes algorithmic methods with cryptographically relevant examples.

While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory.

This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra.

Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field.

This is the fifth proceedings volume published under the Women in Numbers umbrella.

Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory.

Pi ist wohl die berühmteste aller irrationalen Zahlen.