Basic Notions of Algebra [electronic resource] / by Igor R. Shafarevich.
By: Shafarevich, Igor R [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextSeries: Encyclopaedia of Mathematical Sciences: 11Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005Description: IV, 260 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540264743.Subject(s): Topological Groups  Ktheory  Topological Groups, Lie Groups  KTheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 512.55  512.482 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB974 
What is Algebra?  Fields  Commutative Rings  Homomorphisms and Ideals  Modules  Algebraic Aspects of Dimension  The Algebraic View of Infinitesimal Notions  Noncommutative Rings  Modules over Noncommutative Rings  Semisimple Modules and Rings  Division Algebras of Finite Rank  The Notion of a Group  Examples of Groups: Finite Groups  Examples of Groups: Infinite Discrete Groups  Examples of Groups: Lie Groups and Algebraic Groups  General Results of Group Theory  Group Representations  Some Applications of Groups  Lie Algebras and Nonassociative Algebra  Categories  Homological Algebra  Ktheory.
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.
Other editions of this work
Basic notions of algebra by Shafarevich I R 
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