Number theory

A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.

This book presents a self-contained graduate-level introduction to the topic of L-functions.

Thirteen articles by leading contributors on the history of the Gross-Zagier formula and its developments.

Graham Oppy examines how the infinite lurks everywhere.

This book provides an introduction to algebraic number theory suitable for senior undergraduates and beginning graduate students in mathematics.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

This book provides a motivated introduction to sieve theory.

A second edition textbook intended to serve as a one-semester introductory course in number theory.

Based on lectures given by Davenport at the University of Michigan in the early 1960s.

A self-contained treatment of expander graphs which are important in computer science, engineering and mathematics.

This textbook demonstrates how the tools of analysis can be used in number theory to attack a famous problem.

Provides an elementary account of the basic facts about quasi-Frobenius rings.

An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.

Computational algebra; computational number theory; commutative algebra; handbook; reference; algorithmic; modern.

Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.

This is a selection of high quality articles on number theory by leading figures.

This book is the first integrated treatment of sequences generated by finite automata and their generalizations.

A treatment of a lively topic from number theory for graduate students and researchers.

This book covers most of the known results on reducibility of polynomials.

Focuses on the basic mathematical tools needed for cryptographic design: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs.

A close look at the codes and ciphers used by private individuals, spies, governments and industry throughout history.

This superb text introduces number theory to readers with limited formal mathematical training.

The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916.

This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra.

A fascinating journey into the mind-bending world of prime numbersCicadas of the genus Magicicada appear once every 7, 13, or 17 years.

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications.

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "e;impossible"e; as the author follows the discovery or invention of new concepts that have marked mathematical progress.

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "e;impossible"e; as the author follows the discovery or invention of new concepts that have marked mathematical progress.

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP2.

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP2.

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.

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.

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.

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.

In this book, control and filtering problems for several classes of stochastic networked systems are discussed.

In this book, control and filtering problems for several classes of stochastic networked systems are discussed.

This book deals with two important branches of mathematics, namely, logic and set theory.

This book deals with two important branches of mathematics, namely, logic and set theory.

Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or history.

Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or history.

Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.

Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics.

Scientific Computation has established itself as a stand-alone area of knowledge at the borderline between computer science and applied mathematics.

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics.

Scientific Computation has established itself as a stand-alone area of knowledge at the borderline between computer science and applied mathematics.

This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium.

The book contains the main results of class field theory and Artin L functions, both for number fields and function fields, together with the necessary foundations concerning topological groups, cohomology, and simple algebras.