Number theory

There have been exciting developments in the area of knot theory in recent years.

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

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

Auf breiter fachlicher Ebene werden in dem Lehrbuch einfache elementare zahlentheoretische Inhalte besprochen, aber auch Stoffkomplexe aus der analytischen und algebraischen Zahlentheorie dargestellt.

This book gathers original research papers and survey articles presented at the "e;International Conference on Class Groups of Number Fields and Related Topics,"e; held at Harish-Chandra Research Institute, Allahabad, India, on September 4-7, 2017.

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

This book contains thirty-three papers from among the thirty-eight papers presented at the Fourth International Conference on Fibonacci Numbers and Their Applications which was held at Wake Forest University, Winston-Salem, North Carolina from July 30 to August 3, 1990.

An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet.

Multiplicative Theory of Ideals

A concise and comprehensive introduction to trace formula methods in the study of Shimura varieties and associated Galois representations.

The sixth Algorithmic Number Theory Symposium was held at the University of Vermont, in Burlington, from 13-18 June 2004.

"e;Beauty is the first test: there is no permanent place in the world for ugly mathematics.

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

Combinatorial research has proceeded vigorously in Russia over the last few decades, based on both translated Western sources and original Russian material.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics.

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

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.

This textbook explores a selection of topics in complex analysis.

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem.

Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework.

In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice.

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

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

Cyclotomic fields have always occupied a central place in number theory, and the so called "e;main conjecture"e; on cyclotomic fields is arguably the deepest and most beautiful theorem known about them.

Aus den Besprechungen: "Die vorliegende, umfangreiche Einführung berücksichtigt stärker als andere die historische Entwicklung.

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This book provides an overview of recent developments in web theory.

Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics.

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.

It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?

This book contains 23 contributions presented at the "e;International Conference on Coding Theory, Cryptography and Related Areas (ICCC)"e;, held in Guanajuato, Mexico, in April 1998.

Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.

A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.

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.

This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory.

The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups.

Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results.

This book deals with the new class of one-dimensional variational problems - the problems with branching solutions.

This book is the first volume of proceedings from the joint conference X International Symposium "e;Quantum Theory and Symmetries"e; (QTS-X) and XII International Workshop "e;Lie Theory and Its Applications in Physics"e; (LT-XII), held on 19-25 June 2017 in Varna, Bulgaria.

Intended for graduate courses or for independent study, this book presents the basic theory of fields.

Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them.

The last one hundred years have seen many important achievements in the classical part of number theory.