TY - BOOK ID - 25001761 TI - Basic notions of algebra PY - 1997 SN - 364242516X 1280304766 9786610304769 3540264744 3540251774 3540612211 PB - Berlin Springer DB - UniCat KW - Algebra. KW - Mathematics. KW - Math KW - Science KW - Mathematics KW - Mathematical analysis KW - Algebra KW - Topological Groups. KW - K-theory. KW - Topological Groups, Lie Groups. KW - K-Theory. KW - Algebraic topology KW - Homology theory KW - Groups, Topological KW - Continuous groups KW - Topological groups. KW - Lie groups. KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups UR - https://www.unicat.be/uniCat?func=search&query=sysid:25001761 AB - 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 indispensable 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. ER -