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Selected Topics In Algebra

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Selected Topics In Algebra

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Author : Ionel Bucur
language : en
Publisher: Springer
Release Date : 1984-09-30

Selected Topics In Algebra written by Ionel Bucur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-09-30 with Computers categories.

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final G. K. Chesterton. The Scandal of question. Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addi tion to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Selected Topics

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Author : Corneliu Constantinescu
language : en
Publisher: Gulf Professional Publishing
Release Date : 2001-10-02

Selected Topics written by Corneliu Constantinescu and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-02 with Mathematics categories.

Selected Topics In Algebra

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Author : I. Bucur
language : en
Publisher: Springer
Release Date : 2014-01-14

Selected Topics In Algebra written by I. Bucur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-14 with Computers categories.

Topological Algebras

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Author : A. Mallios
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Topological Algebras written by A. Mallios and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.

This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms. It may also be of interest to those who wish, from an entirely theoretical point of view, to see how far one can go beyond the classical framework of Banach algebras while still retaining substantial results. The need for such an extension of the standard theory of normed algebras has been apparent since the early days of the theory of topological algebras, most notably the locally convex ones. It is worth noticing that the previous demand was due not only to theoretical reasons, but also to potential concrete applications of the new discipline.

Selected Topics In Algebraic Geometry

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Author :
language : en
Publisher:
Release Date : 1970

Selected Topics In Algebraic Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.

Selected Topics In Topological Algebras

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Author : Wiesław Żelazko
language : en
Publisher:
Release Date : 1971

Selected Topics In Topological Algebras written by Wiesław Żelazko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Topological algebras categories.

Universal Algebra

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Author : Clifford Bergman
language : en
Publisher: CRC Press
Release Date : 2011-09-20

Universal Algebra written by Clifford Bergman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Computers categories.

Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author’s two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts of universal algebra and by introducing a variety of recent research topics. The first part of the book focuses on core components, including subalgebras, congruences, lattices, direct and subdirect products, isomorphism theorems, a clone of operations, terms, free algebras, Birkhoff’s theorem, and standard Maltsev conditions. The second part covers topics that demonstrate the power and breadth of the subject. The author discusses the consequences of Jónsson’s lemma, finitely and nonfinitely based algebras, definable principal congruences, and the work of Foster and Pixley on primal and quasiprimal algebras. He also includes a proof of Murskiĭ’s theorem on primal algebras and presents McKenzie’s characterization of directly representable varieties, which clearly shows the power of the universal algebraic toolbox. The last chapter covers the rudiments of tame congruence theory. Throughout the text, a series of examples illustrates concepts as they are introduced and helps students understand how universal algebra sheds light on topics they have already studied, such as Abelian groups and commutative rings. Suitable for newcomers to the field, the book also includes carefully selected exercises that reinforce the concepts and push students to a deeper understanding of the theorems and techniques.