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portada Ring and Field Theory
Type
Physical Book
Author
Publisher
Language
English
Pages
200
Format
Hardcover
Dimensions
22.9x15.2x1.3 cm
Weight
0.44 kg.
ISBN13
9789811255779
Categories

Ring and Field Theory

Kaiming Zhao (Author) · World Scientific Publishing Company · Hardcover

Ring and Field Theory - Zhao, Kaiming

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Synopsis "Ring and Field Theory "

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.

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