Number theory

This is a book about infinity - specifically the infinity of numbers, and how one kind of infinity is greater than all the rest.

This is a book about infinity - specifically the infinity of numbers, and how one kind of infinity is greater than all the rest.

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.

The primary audience for this book is students and the young researchers interested in the core of the discipline.

This book is an autobiographical interview with Chinese Academician Yuan Wang on his experience in mathematical research.

This book is an autobiographical interview with Chinese Academician Yuan Wang on his experience in mathematical research.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation.

Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications.

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization.

This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities.

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

Examines the ancient cosmic science of the female megalithic astronomers Describes the shared sacred geometry and astronomy knowledge in the megalithic monuments, temples, and secret calendars of the matrilineal cultures of Malta, Gobekli Tepe, and the Minoans of Crete Shows how early Christians helped preserve ancient science by encoding it in the rock-cut churches of the Cappadocia region of Turkey Explains how Greek myths reveal the transition from matriarchy to patriarchyLong before Pythagoras and Plato, before arithmetic and Christianity, there existed matrilineal societies around the Mediterranean, led by women with a sophisticated understanding of astronomy and sacred science.

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Edouard Lucas between 1876 and 1880, that they are now named after him.

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Edouard Lucas between 1876 and 1880, that they are now named after him.

Die beiden Bücher „Was sind und was sollen die Zahlen?

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication.

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

This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields.

In the two-volume set 'A Selection of Highlights' we present basics of mathematics in an exciting and pedagogically sound way.

Eduard Wirsing was an outstanding number theorist.

Eduard Wirsing was an outstanding number theorist.

This textbook overviews the whole spectrum of formal methods and techniques that are aimed at verifying correctness of software, and how they can be used in practice.

This textbook overviews the whole spectrum of formal methods and techniques that are aimed at verifying correctness of software, and how they can be used in practice.

This book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms.

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "e;easy-to-use"e; manner appropriate for students with only a basic background in mathematics offerin

This book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms.

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication.

The primary audience for this book is students and the young researchers interested in the core of the discipline.

This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics.

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.

No detailed description available for "e;Index Number Theory and Price Statistics"e;.

This volume contains the Notes of a seminar on Intersection Ho- logy which met weekly during the Spring 1983 at the University of Bern, Switzerland.

An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first centuryThe ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed.

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

This is the unique book on cross-fertilisations between stream ciphers and number theory.

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets.

La segunda edición de Teoría de los números está dirigida a todos aquellos que encuentran en las matemáticas el lenguaje universal para explicar los fenómenos de nuestro entorno, y por supuesto, a quienes ven en ella una puerta que los conduce a la búsqueda del conocimiento, orientado hacia el desarrollo científico y tecnológico.

This textbook originates from a course taught by the late Ken Ireland in 1972.

This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory.

This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.

Nakazawa connects Buddhist philosophy with modern sciences such as psychology, quantum theory, and mathematics, as well as linguistics and the arts to present a perspective on understanding the mind in a world built on interconnection and networks of relations.

Nakazawa connects Buddhist philosophy with modern sciences such as psychology, quantum theory, and mathematics, as well as linguistics and the arts to present a perspective on understanding the mind in a world built on interconnection and networks of relations.