Algebra
eBook - PDF

Algebra

  1. 650 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebra

About this book

This book presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance.This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces. This axiomatic approach—emphasized by Hilbert and developed in Germany by Noether, Artin, Van der Waerden, et al., in the 1920s—was popularized for the graduate level in the 1940s and 1950s to some degree by the authors' publication of A Survey of Modern Algebra. The present book presents the developments from that time to the first printing of this book. This third edition includes corrections made by the authors.

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Yes, you can access Algebra by Saunders Mac Lane,Garrett Birkhoff in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Front Cover
  2. Preface to the Third Edition
  3. From the Preface to the First Edition
  4. From the Preface to the Second Edition
  5. Contents
  6. List of Symbols
  7. CHAPTER I Sets, Functions, and Integers
  8. CHAPTER II Groups
  9. CHAPTER III Rings
  10. CHAPTER IV Universal Constructions
  11. CHAPTER V Modules
  12. CHAPTER VI Vector Spaces
  13. CHAPTER VII Matrices
  14. CHAPTER VIII Special Fields
  15. CHAPTER IX Determinants and Tensor Products
  16. CHAPTER X Bilinear and Quadratic Forms
  17. CHAPTER XI Similar Matrices and Finite Abelian Groups
  18. CHAPTER XII Structure of Groups
  19. CHAPTER XIII Galois Theory
  20. CHAPTER XIV Lattices
  21. CHAPTER XV Categories and Adjoint Functors
  22. CHAPTER XVI Multilinear Algebra
  23. APPENDIX Affine and Projective Spaces
  24. Bibliography
  25. Index To the Appendix
  26. Index
  27. Back Cover