English | 2022 | ISBN: 0750326468, 978-0-7503-2648-3 | 461 pages | True PDF EPUB MOBI | 71.84 MB
The book is devoted to the thorough study of polyadic (higher arity) algebraic structures, which has a long history, starting from 19th century. The main idea was to take a single set, closed under one binary operation, and to "generalize" it by increasing the arity of the operation, called a polyadic operation. Until now, a general approach to polyadic concrete many-set algebraic structures was absent. We propose to investigate algebraic structures in the "concrete way" and provide consequent "polyadization" of each operation, starting from group-like structures and finishing with the Hopf algebra structures. Polyadic analogs of homomorphisms which change arity, heteromorphisms, are introduced and applied for constructing unusual representations, multiactions, matrix representations and polyadic analogs of direct product. We provide the polyadic generalization of the Yang-Baxter equation, find its constant solutions, and introduce polyadic tensor categories.
Suitable for university students of advanced level algebra courses and mathematical physics courses.

Introduction to Algebraic Topology
English | 2022 | ISBN: 3030983129 | 185 Pages | PDF EPUB (True) | 11 MB
This textbook provides a succinct introduction to algebraic topology. It follows a modern categorical approach from the beginning and gives ample motivation throughout so that students will find this an ideal first encounter to the field. Topics are treated in a self-contained manner, making this a convenient resource for instructors searching for a comprehensive overview of the area.

English | 2021 | ISBN: 1470460130, 978-1470466657 | 279 pages | True PDF | 6.81 MB
A Concise Introduction to Algebraic Varieties is designed for a one-term introductory course on algebraic varieties over an algebraically closed field, and it provides a solid basis for a course on schemes and cohomology or on specialized topics, such as toric varieties and moduli spaces of curves. The book balances generality and accessibility by presenting local and global concepts, such as nonsingularity, normality, and completeness using the language of atlases, an approach that is most commonly associated with differential topology. The book concludes with a discussion of the Riemann-Roch theorem, the Brill-Noether theorem, and applications. The prerequisites for the book are a strong undergraduate algebra course and a working familiarity with basic point-set topology. A course in graduate algebra is helpful but not required. The book includes appendices presenting useful background in complex analytic topology and commutative algebra and provides plentiful examples and exercises that help build intuition and familiarity with algebraic varieties.

English | 2022 | ISBN: 3110637545, 978-3110637540 | 465 pages | True PDF | 7.19 MB
The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory.

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Algebraic Methods in Functional Analysis: The Victor Shulman Anniversary Volume by Ivan G. Todorov
English | PDF(True) | 2014 | 301 Pages | ISBN : 3034805012 | 3.2 MB
This volume comprises the proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, Sweden, April 26-29, 2011. The conference was held in honour of Professor Victor Shulman on the occasion of his 65th birthday. The papers included in the volume cover a large variety of topics, among them the theory of operator ideals, linear preservers, C*-algebras, invariant subspaces, non-commutative harmonic analysis, and quantum groups, and reflect recent developments in these areas. The book consists of both original research papers and high quality survey articles, all of which were carefully refereed.

English | 2022 | ISBN: 1527579727, 978-1527579729 | 107 pages | True PDF | 6.79 MB
Algebraic topology is a fascinating and dynamic field at the crossroads of topology and algebra, both pure and applied. This volume is the first comprehensive, book-form treatment of the subject. It provides a swift walk through the main basic tools of algebraic topology, including homology and homotopy groups, as well as an in-depth discussion of the major research techniques of rational homotopy theory. The book will be of interest to students, professors, and researchers, as well as anyone interested in discovering real applications of mathematics in fields which affect our daily lives, including medicine, imagery, cosmic radiation, and writing systems.

Relational and Algebraic Methods in Computer Science: 17th International Conference, RAMiCS 2018, Groningen, The Netherlands, October 29 - November 1, 2018, Proceedings by Jules Desharnais
English | EPUB | 2018 | 404 Pages | ISBN : 3030021483 | 23.9 MB
This book constitutes the proceedings of the 17th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2018, held in Groningen, The Netherlands, in October/November 2018.

Elementary and Analytic Theory of Algebraic Numbers by Władysław Narkiewicz
English | PDF | 2004 | 712 Pages | ISBN : 3540219021 | 62.8 MB
The aim of this book is to present an exposition of the theory of alge braic numbers, excluding class-field theory and its consequences. There are many ways to develop this subject; the latest trend is to neglect the classical Dedekind theory of ideals in favour of local methods. However, for numeri cal computations, necessary for applications of algebraic numbers to other areas of number theory, the old approach seems more suitable, although its exposition is obviously longer. On the other hand the local approach is more powerful for analytical purposes, as demonstrated in Tate's thesis.

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Language: English | Size: 3.07 GB | Duration: 3h 48m
Learn everything on Algebraic Expression, then test your knowledge with lots of practice questions with answers.

Chemistry Calculations - with a focus on algebraic principles
pdf | 25.11 MB | English | Isbn:‎ B00USR6EGO | Author: Alexander Vavoulis | Year: 2015