algebraic structure and matrices
Author | : E. A. Maxwell |
Publisher | : CUP Archive |
Total Pages | : 342 |
Release | : 1969 |
Genre | : |
ISBN | : |
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Author | : E. A. Maxwell |
Publisher | : CUP Archive |
Total Pages | : 342 |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : E. A. Maxwell |
Publisher | : Syracuse University Press |
Total Pages | : 338 |
Release | : 2009-06-18 |
Genre | : Mathematics |
ISBN | : 9780521109055 |
This book, which was originally published in 1965, shows the student meeting modern algebra for the first time what it is all about and leads those who will be taking the subject further to a firm grasp of the details that will come later in their course.
Author | : Edwin A. Maxwell |
Publisher | : |
Total Pages | : 316 |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : Edwin Arthur Maxwell |
Publisher | : |
Total Pages | : 316 |
Release | : 1965 |
Genre | : Algebra |
ISBN | : |
Author | : E.A. Maxwell |
Publisher | : |
Total Pages | : |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : Stephen Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2018-06-07 |
Genre | : Business & Economics |
ISBN | : 1316518965 |
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author | : Abraham Adrian Albert |
Publisher | : American Mathematical Soc. |
Total Pages | : 224 |
Release | : 1939-12-31 |
Genre | : Mathematics |
ISBN | : 0821810243 |
The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.
Author | : Edwin Arthur Maxwell |
Publisher | : |
Total Pages | : 316 |
Release | : 1965 |
Genre | : Algebra |
ISBN | : |
Author | : Gregory Budzban |
Publisher | : American Mathematical Soc. |
Total Pages | : 250 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821820273 |
This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.
Author | : David R. Finston |
Publisher | : Springer |
Total Pages | : 194 |
Release | : 2014-08-29 |
Genre | : Mathematics |
ISBN | : 3319044982 |
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.