This book is intended as a textbook for a one-term senior
undergraduate (or graduate) course in Ring and Field Theory, or
Galois theory. The book is ready for an instructor to pick up to
teach without making any preparations.The book is written in a way
that is easy to understand, simple and concise with simple historic
remarks to show the beauty of algebraic results and algebraic
methods. The book contains 240 carefully selected exercise
questions of varying difficulty which will allow students to
practice their own computational and proof-writing skills. Sample
solutions to some exercise questions are provided, from which
students can learn to approach and write their own solutions and
proofs. Besides standard ones, some of the exercises are new and
very interesting. The book contains several simple-to-use
irreducibility criteria for rational polynomials which are not in
any such textbook.This book can also serve as a reference for
professional mathematicians. In particular, it will be a nice book
for PhD students to prepare their qualification exams.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Release date: |
May 2022 |
First published: |
2022 |
Authors: |
Kaiming Zhao
|
Dimensions: |
159 x 235 x 19mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
200 |
ISBN-13: |
978-981-12-5577-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
981-12-5577-6 |
Barcode: |
9789811255779 |
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