Algebra
著者
書誌事項
Algebra
AMS Chelsea Pub. : American Mathematical Society, c1999
3rd ed
大学図書館所蔵 件 / 全2件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. [601]-603) and index
内容説明・目次
内容説明
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.
目次
Sets, functions, and integers Groups Rings Universal constructions Modules Vector spaces Matrices Special fields Determinants and tensor products Bilinear and quadratic forms Similar matrices and finite abelian groups Structure of groups Galois theory Lattices Categories and adjoint functors Multilinear algebra Appendix: Affine and projective spaces Bibliography Index.
「Nielsen BookData」 より