Topics in Factorization of Abelian Groups

Szabó, Sandor

Birkhauser

The latest data on the pathogenesis of ulcer disease is presented in this text, with the emphasis that an understanding of the pathogenesis and etiology of ulcer diseases represents the most rational approach to pharmacology - the prevention and treatment of ulcer disease. Early and late biochemical and functional changes, morphologic stages of the injury and healing phases, as well as vascular factors in ulceration are highlighted. In addition, new pathogenetic elements on neuroendocrine and other endogenous modulators and circadian rhythms in ulcerogenesis are covered. The section on new pharmacology consists of several chapters presenting new animal models of gastric, small intestinal and colonic ulcers because in vivo models represent the basis to test and accurately detect new antiulcer drugs. A large series of chapters cover new drugs for ulcer prevention and treatment. This book is indispensible to investigators in basic and applied research, academic and industrial pharmacologists and clinicians in gastroenterology.

Ulcer Disease: New Aspects of Pathogenesis and Pharmacology (CRC Series on Gastrointestinal Disease)

Health, Fitness & Dieting

Pfeiffer, Carl J.

Diseases & Physical Ailments

CRC-Press

Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs, Series Number 25)

Often questions about tiling space or a polygon lead to questions concerning algebra. For instance, tiling by cubes raises questions about finite abelian groups. Tiling by triangles of equal areas soon involves Sperner's lemma from topology and valuations from algebra. The first six chapters of Algebra and Tiling form a self-contained treatment of these topics, beginning with Minkowski's conjecture about lattice tiling of Euclidean space by unit cubes, and concluding with Laczkowicz's recent work on tiling by similar triangles. The concluding chapter presents a simplified version of Rédei's theorem on finite abelian groups. Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper level algebra courses, but teachers, researchers and professional mathematicians will find the book equally appealing.

Science & Math

Stein,Sherman

Mathematics

The Mathematical Association of America

Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics)

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 explores the factorization theory of abelian groups. The book first shows how to construct new factorizations from old ones. The authors then discuss nonperiodic and periodic factorizations, quasiperiodicity, and the factoring of periodic subsets. They also examine how tiling plays an important role in number theory. The next several chapters cover factorizations of infinite abelian groups; combinatorics, such as Ramsey numbers, Latin squares, and complex Hadamard matrices; and connections with codes, including variable length codes, error correcting codes, and integer codes. The final chapter deals with several classical problems of Fuchs. Encompassing many of the main areas of the factorization theory, this book explores problems in which the underlying factored group is cyclic.

Chapman and Hall/CRC

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 explores the factorization theory of abelian groups. The book first shows how to construct new factorizations from old ones. The authors then discuss nonperiodic and periodic factorizations, quasiperiodicity, and the factoring of periodic subsets. They also examine how tiling plays an important role in number theory. The next several chapters cover factorizations of infinite abelian groups; combinatorics, such as Ramsey numbers, Latin squares, and complex Hadamard matrices; and connections with codes, including variable length codes, error correcting codes, and integer codes. The final chapter deals with several classical problems of Fuchs. Encompassing many of the main areas of the factorization theory, this book explores problems in which the underlying factored group is cyclic.

Sands, Arthur D.

The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in geometry, combinatorics, coding theory, and number theory. A large part of the text is accessible to students, requiring only basic knowledge in group theory and algebra. Helpful exercises are provided in every chapter.

Birkhauser Verlag AG

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Books by Szabó, Sandor

See the best price to sell, buy, or rent books by Szabó, Sandor. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Topics in Factorization of Abelian Groups

Ulcer Disease: New Aspects of Pathogenesis and Pharmacology (CRC Series on Gastrointestinal Disease)

Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs, Series Number 25)

Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs, Series Number 25)

Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics)

Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics)

Topics in Factorization of Abelian Groups