Number theory

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts.

Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics.

Number theory, the branch of mathematics which studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones.

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10-14, 2018.

Alladi Ramakrishnan (1923-2008) was an eminent scientist who had a wide range of research interests in theoretical and mathematical physics.

The present manuscript is an improved edition of a text that first appeared under the same title in Bonner Mathematische Schriften, no.

Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples.

This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication.

An account of results extending Hilbert''s Tenth Problem to integrally closed subrings of global fields.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

"Von der Mathematik habe ich nie etwas verstanden!

Real-variable Methods in Harmonic Analysis

The book explores and investigates a long-standing mathematical question whether a product of two or more positive integers in an arithmetic progression can be a square or a higher power.

This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics.

This textbook explores a selection of topics in complex analysis.

This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century.

The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups.

This volume began as the last part of a one-term graduate course given at the Fields Institute for Research in the Mathematical Sciences in the Autumn of 1993.

This research monograph reports on recent work on the theoryof singular Siegel modular forms of arbitrary level.

The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security.

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

This book grew.

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

This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search.

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established.

This book offers an organized and systematic approach to poset metrics and codes.

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

This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics.

Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.

A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundaries of geometry and arithmetic, including an introduction to prime numbers.

From July 31 through August 3,1997, the Pennsylvania State University hosted the Topics in Number Theory Conference.

This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction.

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series "e;Seminaire ' de mathematiques ' superieures"e;, ' was held at the U- versite ' de Montreal, ' on the subject Equidistribution in the theory of numbers.

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

The first comprehensive and up-to-date account of discriminant equations and their applications.

Differential Manifolds and Theoretical Physics

The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions.

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

This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for  understanding these methods.

A Theory of Sets

The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users.

For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics.

Differential Equations in Engineering: Research and Applications describes advanced research in the field of the applications of differential equations in engineering and the sciences, and offers a sound theoretical background, along with case studies.

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.