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Published **1977**
by Wiley in New York .

Written in English

- Rings (Algebra),
- Algebraic fields.,
- Vector spaces.

**Edition Notes**

Statement | P. B. Bhattacharya, S. K. Jain. |

Contributions | Jain, S. K. 1938- joint author. |

Classifications | |
---|---|

LC Classifications | QA247 .B47 |

The Physical Object | |

Pagination | ix, 238 p. : |

Number of Pages | 238 |

ID Numbers | |

Open Library | OL4907190M |

ISBN 10 | 0470990473 |

LC Control Number | 76055303 |

OCLC/WorldCa | 2632837 |

When I first prepared to teach this course, I needed to select a set of topics to cover. The material that I selected would clearly have to have some bearing on school-level mathematics, but at the same time would have to be substantial enough for a university-level course. Rings, Fields, and Vector Spaces Book Subtitle An Introduction to Brand: Springer-Verlag New York. Introduction to Groups, Rings and Fields HT and TT H. A. Priestley 0. Familiar algebraic systems: review and a look ahead. GRF is an ALGEBRA course, and speciﬁcally a course about algebraic structures. This introduc-tory section revisits ideas met in the early part of Analysis I and in Linear Algebra I, to set the scene and provide. This book is an attempt to communicate to undergraduate math ematics majors my enjoyment of abstract algebra. It grew out of a course offered at California State University, Northridge, in our teache Rings, Fields, and Vector Spaces An Introduction to Abstract Algebra via Geometric Constructibility. Authors When I first prepared to. Nov 07, · Like its popular predecessors, A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition develops ring theory first by drawing on students' familiarity with integers and polynomials. This unique approach motivates students in the study of abstract algebra and helps them understand the power of abstraction. The authors introduce gCited by: 2.

Rings, Fields, and Vector Spaces An Introduction to Abstract Algebra via Geometric Constructibility Series: Undergraduate Texts in Mathematics This book is an attempt to communicate to undergraduate math ematics majors my enjoyment of abstract algebra. It grew out of a course offered at California State. book successfully. With complete details for every proof, for nearly every example, and for solutions to a majority of the exercises, the book is ideal for self-study, for those of any age. While there is an abundance of guidance in the use of the software system,Sage, there is no attempt to address the problems of numerical linear algebra. The order of presentation of topics is standard: groups, then rings, and finally fields. Emphasis can be placed either on theory or on applications. A typical one-semester course might cover groups and rings while briefly touching on field theory, using Chapters 1 through 6, 9, 10, 11, 13 (the first part), 16, 17, 18 (the first part), 20, and /5(4). Like its popular predecessors, A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition develops ring theory first by drawing on students’ familiarity with integers and polynomials. This unique approach motivates students in the study of abstract algebra and helps them understand the power of abstraction.

Vector space properties are hinted at when vector and matrix operations are first defined, but the notion of a vector space is saved for a more axiomatic treatment later. Once bases and dimension have been explored in the context of vector spaces, linear transformations and their matrix representation follow. The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces)/5(3). Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract happylifekennel.comd on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of . Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract happylifekennel.comd on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of /5().

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