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| Author | : Joseph Landin |
| Publisher | : Courier Corporation |
| Total Pages | : 275 |
| Release | : 2012-08-29 |
| Genre | : Mathematics |
| ISBN | : 0486150410 |
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 |
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 | : Palash B. Pal |
| Publisher | : Cambridge University Press |
| Total Pages | : 717 |
| Release | : 2019-05-23 |
| Genre | : Science |
| ISBN | : 1108492207 |
Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.
| Author | : T.S. Blyth |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 311 |
| Release | : 2005-04-18 |
| Genre | : Mathematics |
| ISBN | : 1852339055 |
"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS
| Author | : J. M. Boardman |
| Publisher | : Springer |
| Total Pages | : 268 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540377999 |
| Author | : O. A. Laudal |
| Publisher | : Springer |
| Total Pages | : 165 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540385320 |
| Author | : Larry J. Gerstein |
| Publisher | : W H Freeman & Company |
| Total Pages | : 413 |
| Release | : 1987-01-01 |
| Genre | : Algebra, Abstract. |
| ISBN | : 9780716718048 |
Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.
| Author | : Stephan Foldes |
| Publisher | : John Wiley & Sons |
| Total Pages | : 362 |
| Release | : 2011-02-14 |
| Genre | : Mathematics |
| ISBN | : 1118031431 |
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 | : Martin Doubek |
| Publisher | : Springer Nature |
| Total Pages | : 223 |
| Release | : 2020-11-22 |
| Genre | : Science |
| ISBN | : 3030530566 |
This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.
| Author | : Serge Lang |
| Publisher | : Addison-Wesley Longman |
| Total Pages | : 192 |
| Release | : 1967 |
| Genre | : Mathematics |
| ISBN | : |
