Groups Rings And Galois Theory
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Groups Rings and Galois Theory
Author | : Victor Percy Snaith |
Publsiher | : World Scientific |
Total Pages | : 234 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9812386009 |
Download Groups Rings and Galois Theory Book in PDF, Epub and Kindle
This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups ? including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will facilitate student-instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.
Groups Rings and Galois Theory
Author | : Victor P Snaith |
Publsiher | : World Scientific Publishing Company |
Total Pages | : 228 |
Release | : 2003-09-29 |
Genre | : Mathematics |
ISBN | : 9789813102231 |
Download Groups Rings and Galois Theory Book in PDF, Epub and Kindle
This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups — including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will facilitate student-instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.
Groups Rings and Galois Theory
![Groups Rings and Galois Theory](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Victor Percy Snaith |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1998 |
Genre | : Electronic Book |
ISBN | : 9812816135 |
Download Groups Rings and Galois Theory Book in PDF, Epub and Kindle
Groups Rings and Galois Theory
![Groups Rings and Galois Theory](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Victor Percy Snaith |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2003 |
Genre | : Electronic Book |
ISBN | : 9812795022 |
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Galois Theory Rings Algebraic Groups and Their Applications
Author | : Simeon Ivanov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 290 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 0821831402 |
Download Galois Theory Rings Algebraic Groups and Their Applications Book in PDF, Epub and Kindle
This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K—theory and some of their applications.
A Guide to Groups Rings and Fields
Author | : Fernando Q. Gouvêa |
Publsiher | : American Mathematical Soc. |
Total Pages | : 309 |
Release | : 2012-12-31 |
Genre | : Mathematics |
ISBN | : 9781614442110 |
Download A Guide to Groups Rings and Fields Book in PDF, Epub and Kindle
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Group Rings Crossed Products and Galois Theory
Author | : Donald S. Passman |
Publsiher | : Unknown |
Total Pages | : 84 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : STANFORD:36105032323482 |
Download Group Rings Crossed Products and Galois Theory Book in PDF, Epub and Kindle
For readers with a basic graduate level background in algebra, these ten articles provide a readable introduction to three major interrelated subjects of noncommutative algebra. The theme is the interplay between group theory and ring theory, dealing specifically with group rings, crossed products, and the Galois theory of rings. The author has carefully included most definitions, to keep the required background minimal. Furthermore, each article contains a selection of results on the given topic, a limited number of proofs or sketches, and at least a few open problems.
Algebra in Action A Course in Groups Rings and Fields
Author | : Shahriar Shahriar |
Publsiher | : American Mathematical Soc. |
Total Pages | : 675 |
Release | : 2017-08-16 |
Genre | : Algebra |
ISBN | : 9781470428495 |
Download Algebra in Action A Course in Groups Rings and Fields Book in PDF, Epub and Kindle
This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.