Structures Of Algebra PDF Download
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Author | : Joseph Landin |
Publisher | : Courier Corporation |
Total Pages | : 275 |
Release | : 2012-08-29 |
Genre | : Mathematics |
ISBN | : 0486150410 |
Download An Introduction to Algebraic Structures Book in PDF, ePub and Kindle
This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Author | : George R. Kempf |
Publisher | : Springer Science & Business Media |
Total Pages | : 174 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3322802787 |
Download Algebraic Structures Book in PDF, ePub and Kindle
In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition - the basic operations of algebra - are studied. Essentially, no previous knowledge is required, it is only assumed as background that the reader has learned some linear algebra over the real numbers.Dieses Lehrbuch, verfasst von einem anerkannten amerikanischen Mathematiker, ist eine unkonventionelle Einführung in die Algebra. Es gibt vier grundlegende Strukturen in der Algebra: Gruppen, Ringe, Körper und Moduln. Das Buch behandelt die Theorie dieser Strukturen und beschreibt die Verknüpfungsregeln, die grundlegenden Operationen der Algebra. Die Darstellung ist elementar: es werden nur Kenntnisse der Linearen Algebra vorausgesetzt, weitere Fachkenntnisse sind nicht erforderlich.
Author | : Stephan Foldes |
Publisher | : John Wiley & Sons |
Total Pages | : 362 |
Release | : 2011-02-14 |
Genre | : Mathematics |
ISBN | : 1118031431 |
Download Fundamental Structures of Algebra and Discrete Mathematics Book in PDF, ePub and Kindle
Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.
Author | : Stephen Lovett |
Publisher | : CRC Press |
Total Pages | : 717 |
Release | : 2015-07-13 |
Genre | : Mathematics |
ISBN | : 1482248913 |
Download Abstract Algebra Book in PDF, ePub and Kindle
A Discovery-Based Approach to Learning about Algebraic StructuresAbstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester int
Author | : Leo Corry |
Publisher | : Birkhäuser |
Total Pages | : 463 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879172 |
Download Modern Algebra and the Rise of Mathematical Structures Book in PDF, ePub and Kindle
This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Author | : Dumitru I. Stamate |
Publisher | : Springer Nature |
Total Pages | : 182 |
Release | : 2020-09-01 |
Genre | : Mathematics |
ISBN | : 3030521117 |
Download Combinatorial Structures in Algebra and Geometry Book in PDF, ePub and Kindle
This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and multiplier ideals in algebra. This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title "Multigraded Algebra and Applications" (ISBN 978-3-319-90493-1).
Author | : Jorge Martínez |
Publisher | : Springer Science & Business Media |
Total Pages | : 340 |
Release | : 2002-08-31 |
Genre | : Mathematics |
ISBN | : 9781402007521 |
Download Ordered Algebraic Structures Book in PDF, ePub and Kindle
This publication surveys some of the disciplines within ordered algebraic structures and also contains chapters highlighting a broad spectrum of research interests. In all, this book represents a reasonably accurate cross-section of the state of the art in ordered algebraic structures.
Author | : Charles C Pinter |
Publisher | : Courier Corporation |
Total Pages | : 402 |
Release | : 2010-01-14 |
Genre | : Mathematics |
ISBN | : 0486474178 |
Download A Book of Abstract Algebra Book in PDF, ePub and Kindle
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Author | : David R. Finston |
Publisher | : Springer |
Total Pages | : 194 |
Release | : 2014-08-29 |
Genre | : Mathematics |
ISBN | : 3319044982 |
Download Abstract Algebra Book in PDF, ePub and Kindle
This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.
Author | : Anatolij Ivanovic Mal'cev |
Publisher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 364265374X |
Download Algebraic Systems Book in PDF, ePub and Kindle
As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely a few kinds of algebraic structures. These were primarily groups, rings and lattices. The first general theoretical work dealing with arbitrary sets with arbitrary operations is due to G. Birkhoff (1935). During these same years, A. Tarski published an important paper in which he formulated the basic prin ciples of a theory of sets equipped with a system of relations. Such sets are now called models. In contrast to algebra, model theory made abun dant use of the apparatus of mathematical logic. The possibility of making fruitful use of logic not only to study universal algebras but also the more classical parts of algebra such as group theory was dis covered by the author in 1936. During the next twenty-five years, it gradually became clear that the theory of universal algebras and model theory are very intimately related despite a certain difference in the nature of their problems. And it is therefore meaningful to speak of a single theory of algebraic systems dealing with sets on which there is defined a series of operations and relations (algebraic systems). The formal apparatus of the theory is the language of the so-called applied predicate calculus. Thus the theory can be considered to border on logic and algebra.