Synopsis
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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Algebra
Published by
Collier MacMillan Ltd, U. S. A, 1979
ISBN 10: 0029788307
ISBN 13: 9780029788301
Used
Softcover
Seller: Literary Cat Books, Machynlleth, Powys, WALES, United Kingdom
Seller rating 4 out of 5 stars
Softcover. Condition: Very Good. Dust Jacket Condition: No Dust Jacket. (?); First Impression. Foxing on the top of the book block, with fraying on both the top and bottom of the spine. Slight staining on the front of the book block, and some general wear to the front and back covers as well as the spine. Also Previous owners name written in blue pen on front paste down. ; This book contains mathematical formulae and diagrams/illustrations, plus one paper cutout from the previous owner containing related material. Algebra by Saunders Mac Lane and Garrett Birkhoff is a foundational text that covers essential topics in abstract algebra. The book provides a comprehensive exploration of group theory, ring theory, vector spaces, and modules, with a focus on structure and theory. It is designed for advanced undergraduate and graduate students, offering clear explanations and rigorous proofs, making it a staple resource in algebra studies. ; 15.5 x 23 x 3.2 cm ; xv, 586 pages. Seller Inventory # 62187
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