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Sets and Groups: A First Course in Algebra de J. A. Green

Sets and Groups: A First Course in Algebra: Routledge Revivals

Autor J. A. Green
en Limba Engleză Hardback – dec 2026
Originally published 1988, this is a fully revised and extended edition of the author’s highly successful Set and Groups (1965). Intended for students beginning algebra at university or college, it is a major textbook for all students of mathematics and the sciences.
The first four chapters give a thorough and elementary introduction to modern mathematical language and method, the basic terms, such as set, equivalence, relation, map, group are explained carefully with many examples. On this foundation are developed some special topics in algebra: group theory (chapters 5, 6, 7), rings and fields (chapter 8), and vector spaces and matrices (chapter 9).
Emphasis throughout is on algebraic structures – for example matrices and vectors are discussed in terms of the algebraic structure known as a vector space. Familiarity with such structures will prepare the student for more advanced texts in algebra.
Now available again, this is an excellent resource for maths and science students.
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Specificații

ISBN-13: 9781041443223
ISBN-10: 1041443226
Pagini: 272
Dimensiuni: 129 x 198 mm
Ediția:1
Editura: CRC Press
Colecția Routledge
Seria Routledge Revivals

Public țintă

AS/A2, Academic, Adult education, General, and Undergraduate Core

Cuprins

Preface to First Edition.  Preface to Revised Edition.  1. Sets  2. Equivalence Relations  3. Maps  4. Groups  5. Subgroups  6. Cosets  7. Homomorphisms  8. Rings and Fields  9. Vector Spaces and Matrices.  Tables.  List of Notations.  Answers to Exercises.  Index.

Recenzii

Review for the reissue:
“Despite there being many new books available on the subject of Sets and Groups I would venture to suggest that few are as good and none are better than Professor Green's book. It has stood the test of time and after thirty years I continue to use it in my teaching. In order to help students to understand abstract concepts the author makes extensive use of cleverly chosen examples. I would recommend this book to any school student who aspires to read mathematics at university and also to beginning undergraduates.” – Huw Kilner, Cardiff College.

Notă biografică

Professor J. A. Green was, at the time of original publication, a member of the Mathematics Institute at the University of Warwick. He had taught at the Universities of Manchester (1950–63) and Sussex (1964–5), and was an international figure in the world of mathematics.

Descriere

Originally published 1988, this is a fully revised and extended edition of the author’s highly successful Set and Groups (1965). Intended for students beginning algebra at university or college, it is a major textbook for all students of mathematics and the sciences. Emphasis throughout is on algebraic structures.