Algebra Through Practice: Groups, rings and fields
Title | Algebra Through Practice: Groups, rings and fields PDF eBook |
Author | Thomas Scott Blyth |
Publisher | |
Pages | |
Release | 1984 |
Genre | Algebra |
ISBN |
Algebra Through Practice: Volume 3, Groups, Rings and Fields
Title | Algebra Through Practice: Volume 3, Groups, Rings and Fields PDF eBook |
Author | T. S. Blyth |
Publisher | CUP Archive |
Pages | 116 |
Release | 1984-08-20 |
Genre | Mathematics |
ISBN | 9780521272889 |
Problem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. Each volume is divided into sections that begin with some notes on notation and prerequisites. The majority of the material is aimed at the students of average ability but some sections contain more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other problems. Books later in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained.
A Guide to Groups, Rings, and Fields
Title | A Guide to Groups, Rings, and Fields PDF eBook |
Author | Fernando Q. Gouvêa |
Publisher | MAA |
Pages | 329 |
Release | 2012 |
Genre | Mathematics |
ISBN | 0883853558 |
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Algebra
Title | Algebra PDF eBook |
Author | Louis Rowen |
Publisher | CRC Press |
Pages | 264 |
Release | 2018-10-08 |
Genre | Mathematics |
ISBN | 1439863520 |
This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course. The author is one of the preeminent researchers in this field and brings the reader up to the recent frontiers of research including never-before-published material. From the table of contents: - Groups: Monoids and Groups - Cauchyís Theorem - Normal Subgroups - Classifying Groups - Finite Abelian Groups - Generators and Relations - When Is a Group a Group? (Cayley's Theorem) - Sylow Subgroups - Solvable Groups - Rings and Polynomials: An Introduction to Rings - The Structure Theory of Rings - The Field of Fractions - Polynomials and Euclidean Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence - Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes a set of exercises
Algebra through practice : a collection of problems in algebra with solutions. 6. Rings, fields and modules
Title | Algebra through practice : a collection of problems in algebra with solutions. 6. Rings, fields and modules PDF eBook |
Author | T. S. Blyth |
Publisher | Cambridge University Press |
Pages | 116 |
Release | 1985 |
Genre | |
ISBN | 9780521272919 |
Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. Each book of problems is divided into chapters that begin with some notes on notation and prerequisites. The majority of the material is aimed at the student of average ability but there are some more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other algebraic problems. Later books in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained.
A First Course in Abstract Algebra
Title | A First Course in Abstract Algebra PDF eBook |
Author | Marlow Anderson |
Publisher | CRC Press |
Pages | 684 |
Release | 2005-01-27 |
Genre | Mathematics |
ISBN | 1420057111 |
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there
Algebra Through Practice: Bks. 1-3. Sets, relations and mappings ; Matrices and vector spaces ; Groups, rings and fields
Title | Algebra Through Practice: Bks. 1-3. Sets, relations and mappings ; Matrices and vector spaces ; Groups, rings and fields PDF eBook |
Author | Thomas Scott Blyth |
Publisher | |
Pages | 0 |
Release | 1984 |
Genre | Algebra |
ISBN |