Algebra / Edition 1

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Overview

Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author’s own teaching experience. This book discusses concrete topics of algebra in greater detail than others, preparing readers for the more abstract concepts; linear algebra is tightly integrated throughout.

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Product Details

  • ISBN-13: 9780130047632
  • Publisher: Prentice Hall
  • Publication date: 9/27/1995
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 618
  • Product dimensions: 7.10 (w) x 9.43 (h) x 1.51 (d)

Meet the Author

Michael Artin received his A.B. from Princeton University in 1955, and his M.A. and Ph.D. from Harvard University in 1956 and 1960, respectively. He continued at Harvard as Benjamin Peirce Lecturer, 1960—63. He joined the MIT mathematics faculty in 1963, and was appointed Norbert Wiener Professor from 1988—93. Outside MIT, Artin served as President of the American Mathematical Society from 1990-92. He has received honorary doctorate degrees from the University of Antwerp and University of Hamburg.

Professor Artin is an algebraic geometer, concentrating on non-commutative algebra. He has received many awards throughout his distinguished career, including the Undergraduate Teaching Prize and the Educational and Graduate Advising Award. He received the Leroy P. Steele Prize for Lifetime Achievement from the AMS. In 2005 he was honored with the Harvard Graduate School of Arts & Sciences Centennial Medal, for being "an architect of the modern approach to algebraic geometry." Professor Artin is a Member of the National Academy of Sciences, Fellow of the American Academy of Arts & Sciences, Fellow of the American Association for the Advancement of Science, and Fellow of the Society of Industrial and Applied Mathematics. He is a Foreign Member of the Royal Holland Society of Sciences, and Honorary Member of the Moscow Mathematical Society.

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Table of Contents

1. Matrix Operations.
2. Groups.
3. Fields and Vector Spaces.
4. Linear Transformations.
5. Symmetry.
6. More Group Theory.
7. Bilinear Forms.
8. Linear Groups.
9. Group Representations.
10. Rings.
11. Factorization.
12. Modules.
13. Fields.
14. Galois Theory.
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Sort by: Showing 1 – 2 of 1 Customer Reviews
  • Anonymous

    Posted June 7, 2002

    the algebra book of choice

    This is a superb book to introduce any math major to the most important ideas of abstract algebra. How often does a mathematician with the world renowned research stature of professor Artin choose to devote the time and effort to write a beginning book in essentially his specialty (he is a famous algebraic geometer), and really make the ideas understandable to the young student? Primarily when he has to teach the course, and wants a suitable source to teach from. That is apparently the genesis of this book, which took birth as class notes for the undergraduate algebra course at MIT taught several times by Professor Artin. This fine book can serve well as an introduction, or second course in algebra, at either honors or upper undergraduate level, or even first year graduate level, (although it omits one topic, multilinear and tensor algebra that grad students will eventually need). The material obviously rolls off the author's fingertips, and the reader is the beneficiary, since it all looks easy to us too, although one must definitely think along the way. With the easily defensible belief that the most important groups in mathematics are linear ones, the author begins with matrices, carries these illustrative examples throughout the treatment of groups, and even includes a beautiful introductory section on some important classical lie groups that cannot be found in any other comparable beginning algebra text. When an author is a true master, as here, he is not limited to mimicking the topics found in other successful texts but can cover each topic as he chooses and to the depth he wishes. Other unique touches are a section on divisibility in number fields, including Minkowski's geometric proof of the finiteness of the class group. This is the best modern introduction to abstract algebra available.

    2 out of 2 people found this review helpful.

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  • Anonymous

    Posted March 29, 2012

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