Topics In Applied Abstract Algebra PDF Download
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| Author | : S. R. Nagpaul |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 338 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821874295 |
Download Topics in Applied Abstract Algebra Book in PDF, ePub and Kindle
This book presents interesting applications of abstract algebra to practical real-world problems. Especially for those whose interest in algebra is not confined to abstract theory, the text makes the study of abstract algebra more exciting and meaningful. The book is appropriate as either a text for an applied abstract algebra course or as a supplemental text for a standard course in abstract algebra. While fully developed, the algebraic theory presented is just what is required for the applications discussed in the book. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).
| Author | : Rudolf Lidl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 500 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 1475729413 |
Download Applied Abstract Algebra Book in PDF, ePub and Kindle
Accessible to junior and senior undergraduate students, this survey contains many examples, solved exercises, sets of problems, and parts of abstract algebra of use in many other areas of discrete mathematics. Although this is a mathematics book, the authors have made great efforts to address the needs of users employing the techniques discussed. Fully worked out computational examples are backed by more than 500 exercises throughout the 40 sections. This new edition includes a new chapter on cryptology, and an enlarged chapter on applications of groups, while an extensive chapter has been added to survey other applications not included in the first edition. The book assumes knowledge of the material covered in a course on linear algebra and, preferably, a first course in (abstract) algebra covering the basics of groups, rings, and fields.
| Author | : Richard Klima |
| Publisher | : CRC Press |
| Total Pages | : 556 |
| Release | : 2015-11-18 |
| Genre | : Mathematics |
| ISBN | : 1482248255 |
Download Applied Abstract Algebra with MapleTM and MATLAB Book in PDF, ePub and Kindle
Applied Abstract Algebra with MapleTM and MATLAB provides an in-depth introduction to real-world abstract algebraic problems. This popular textbook covers a variety of topics including block designs, coding theory, cryptography, and counting techniques, including Polya's and Burnside's theorems. The book also includes a concise review of all prereq
| Author | : Anthony N. Michel |
| Publisher | : Courier Corporation |
| Total Pages | : 514 |
| Release | : 1993-01-01 |
| Genre | : Mathematics |
| ISBN | : 048667598X |
Download Applied Algebra and Functional Analysis Book in PDF, ePub and Kindle
"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.
| Author | : David Joyner |
| Publisher | : JHU Press |
| Total Pages | : 346 |
| Release | : 2004-06 |
| Genre | : Business & Economics |
| ISBN | : 9780801878220 |
Download Applied Abstract Algebra Book in PDF, ePub and Kindle
With the advent of computers that can handle symbolic manipulations, abstract algebra can now be applied. In this book David Joyner, Richard Kreminski, and Joann Turisco introduce a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. They cover basic topics such as the Euclidean algorithm, encryption, and permutations. Hamming codes and Reed-Solomon codes used on today's CDs are also discussed. The authors present examples as diverse as "Rotation," available on the Nokia 7160 cell phone, bell ringing, and the game of NIM. In place of the standard treatment of group theory, which emphasizes the classification of groups, the authors highlight examples and computations. Cyclic groups, the general linear group GL(n), and the symmetric groups are emphasized. With its clear writing style and wealth of examples, Applied Abstract Algebra will be welcomed by mathematicians, computer scientists, and students alike. Each chapter includes exercises in GAP (a free computer algebra system) and MAGMA (a noncommercial computer algebra system), which are especially helpful in giving students a grasp of practical examples.
| Author | : Thomas Judson |
| Publisher | : Orthogonal Publishing L3c |
| Total Pages | : 0 |
| Release | : 2023-08-11 |
| Genre | : |
| ISBN | : 9781944325190 |
Download Abstract Algebra Book in PDF, ePub and Kindle
Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
| Author | : Helene Shapiro |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 317 |
| Release | : 2015-10-08 |
| Genre | : Mathematics |
| ISBN | : 1470418525 |
Download Linear Algebra and Matrices: Topics for a Second Course Book in PDF, ePub and Kindle
Linear algebra and matrix theory are fundamental tools for almost every area of mathematics, both pure and applied. This book combines coverage of core topics with an introduction to some areas in which linear algebra plays a key role, for example, block designs, directed graphs, error correcting codes, and linear dynamical systems. Notable features include a discussion of the Weyr characteristic and Weyr canonical forms, and their relationship to the better-known Jordan canonical form; the use of block cyclic matrices and directed graphs to prove Frobenius's theorem on the structure of the eigenvalues of a nonnegative, irreducible matrix; and the inclusion of such combinatorial topics as BIBDs, Hadamard matrices, and strongly regular graphs. Also included are McCoy's theorem about matrices with property P, the Bruck-Ryser-Chowla theorem on the existence of block designs, and an introduction to Markov chains. This book is intended for those who are familiar with the linear algebra covered in a typical first course and are interested in learning more advanced results.
| Author | : Stephen Boyd |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2018-06-07 |
| Genre | : Business & Economics |
| ISBN | : 1316518965 |
Download Introduction to Applied Linear Algebra Book in PDF, ePub and Kindle
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
| Author | : William Jennings Wickless |
| Publisher | : CRC Press |
| Total Pages | : 232 |
| Release | : 2019-09-27 |
| Genre | : Mathematics |
| ISBN | : 0824757181 |
Download A First Graduate Course in Abstract Algebra Book in PDF, ePub and Kindle
Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.
| Author | : Stephen Lovett |
| Publisher | : CRC Press |
| Total Pages | : 720 |
| 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 Structures Abstract 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 introductory course to a full two-semester sequence. The book presents the core topics of structures in a consistent order: Definition of structure Motivation Examples General properties Important objects Description Subobjects Morphisms Subclasses Quotient objects Action structures Applications The text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics. "Lovett (Wheaton College) takes readers through the variegated landscape of algebra, from elementary modular arithmetic through groups, semigroups, and monoids, past rings and fields and group actions, beyond modules and algebras, to Galois theory, multivariable polynomial rings, and Gröbner bases." Choice Reviewed: Recommended
