Basic Notions of Algebra

  • Igor R. Shafarevich

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 11)

Table of contents

  1. Front Matter
    Pages I-5
  2. Igor R. Shafarevich
    Pages 6-11
  3. Igor R. Shafarevich
    Pages 11-17
  4. Igor R. Shafarevich
    Pages 17-23
  5. Igor R. Shafarevich
    Pages 24-33
  6. Igor R. Shafarevich
    Pages 33-40
  7. Igor R. Shafarevich
    Pages 41-50
  8. Igor R. Shafarevich
    Pages 50-61
  9. Igor R. Shafarevich
    Pages 61-74
  10. Igor R. Shafarevich
    Pages 74-79
  11. Igor R. Shafarevich
    Pages 79-90
  12. Igor R. Shafarevich
    Pages 90-96
  13. Igor R. Shafarevich
    Pages 96-108
  14. Igor R. Shafarevich
    Pages 108-124
  15. Igor R. Shafarevich
    Pages 124-140
  16. Igor R. Shafarevich
    Pages 140-151
  17. Igor R. Shafarevich
    Pages 151-160
  18. Igor R. Shafarevich
    Pages 160-177
  19. Igor R. Shafarevich
    Pages 177-188
  20. Igor R. Shafarevich
    Pages 188-201

About this book

Introduction

From the reviews:


"This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..."
Zentralblatt für Mathematik und Ihre Grenzgebiete, 1991

"...which I read like a novel and undoubtedly will become a classic. ... A merit of the book under review is that it contains several important articles from journals which are not all so easily accessible. ... Furthermore, at the end of the book, there are some Notes by the author which are indispensible for the necessary historical background information. ... This valuable book should be on the shelf of every algebraist and algebraic geometer."
Nieuw Archief voor Wiskunde, 1992

"... There are few proofs in full, but there is an exhilarating combination of sureness of foot and lightness of touch in the exposition ... which transports the reader effortlessly across the whole spectrum of algebra.... The challenge to Ezekiel, "Can these bones live?" is, all too often, the reaction of students when introduced to the bare bones of the concepts and constructs of modern algebra. Shafarevich's book - which reads as comfortably as an extended essay - breathes life into the skeleton and will be of interest to many classes of readers..."
The Mathematical Gazette, 1991

"... According to the preface, the book is addressed to "students of mathematics in the first years of an undergraduate course, or theoretical physicists or mathematicians from outside algebra wanting to get an impression of the spirit of algebra and its place in mathematics." I think that this promise is fully justified. The beginner, the experts and also the interested scientist who had contact with algebraic notions - all will read this exceptional book with great pleasure and benefit."
Zeitschrift für Kristallographie, 1991

Keywords

Category theory Group representation Group theory K-theory algebra associative algebra category cohomology commutative ring groups homological algebra homology homomorphism modules

Authors and affiliations

  • Igor R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteRussian Academy of ScienceMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/b137643
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-61221-6
  • Online ISBN 978-3-540-26474-3
  • Series Print ISSN 0938-0396
  • About this book