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Lecture Notes in Pure and Applied Mathematics


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Localization and Perturbation of Zeros of Entire Functions

Localization and Perturbation of Zeros of Entire Functions

1st Edition

Michael Gil'
June 07, 2017

One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations...

Factoring Groups into Subsets

Factoring Groups into Subsets

1st Edition

Sandor Szabo, Arthur D. Sands
January 21, 2009

Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets...

Virtual Topology and Functor Geometry

Virtual Topology and Functor Geometry

1st Edition

Fred Van Oystaeyen
November 15, 2007

Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally...

Free and Moving Boundaries: Analysis, Simulation and Control

Free and Moving Boundaries: Analysis, Simulation and Control

1st Edition

Roland Glowinski, Jean-Paul Zolesio
June 06, 2007

Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book...

Syzygies and Hilbert Functions

Syzygies and Hilbert Functions

1st Edition

Irena Peeva
March 20, 2007

Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh...

Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications

Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications

1st Edition

Vladimir Burd
March 19, 2007

In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and...

Simple Extensions with the Minimum Degree Relations of Integral Domains

Simple Extensions with the Minimum Degree Relations of Integral Domains

1st Edition

Susumu Oda, Ken-ichi Yoshida
March 05, 2007

Although there are many types of ring extensions, simple extensions have yet to be thoroughly explored in one book. Covering an understudied aspect of commutative algebra, Simple Extensions with the Minimum Degree Relations of Integral Domains presents a comprehensive treatment of various simple...

Mathematical and Physical Theory of Turbulence, Volume 250

Mathematical and Physical Theory of Turbulence, Volume 250

1st Edition

John Cannon, Bhimsen Shivamoggi
June 15, 2006

Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical...

Differential Equations: Inverse and Direct Problems

Differential Equations: Inverse and Direct Problems

1st Edition

Angelo Favini, Alfredo Lorenzi
June 09, 2006

With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering,...

Abelian Groups, Rings, Modules, and Homological Algebra

Abelian Groups, Rings, Modules, and Homological Algebra

1st Edition

Pat Goeters, Overtoun M.G. Jenda
January 27, 2006

About the book…In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited...

Groups, Rings and Group Rings

Groups, Rings and Group Rings

1st Edition

Antonio Giambruno, Cesar Polcino Milies, Sudarshan K. Sehgal
January 20, 2006

This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra....

Non-Associative Algebra and Its Applications

Non-Associative Algebra and Its Applications

1st Edition

Lev Sabinin, Larissa Sbitneva, Ivan Shestakov
January 13, 2006

With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative...

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