Download or read book A Brief Survey of Modern Algebra by G Birkhoff and S MacLane written by Garrett Birkhoff and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Survey of Modern Algebra By Garrett Birkhoff and Saunders Maclane written by Garrett Birkhoff and published by . This book was released on 1963 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Survey of Modern Algebra by Garrett Birkhoff and Saunders MacLane written by Garrett Birkhoff and published by . This book was released on 1944 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A brief survey of modern alebra by G Birkhoff and S MacLane written by Garrett Birkhoff and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Brief Survey of Modern Algebra Second Edition written by Garrett Birkhoff and published by . This book was released on 1965 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Brief Survey of Modern Algebra written by Garrett Birkhoff and published by . This book was released on 1953 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Survey of Modern Algebra written by Garrett Birkhoff and published by . This book was released on 1955 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Brief Survey of Modern Algebra written by Garrett Birkhoff and published by . This book was released on 1965 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebra written by Saunders Mac Lane and published by American Mathematical Society. This book was released on 2023-10-10 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Algebra written by Saunders Mac Lane and published by American Mathematical Soc.. This book was released on 1999 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents modern algebra from first principles. This title combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. It presents a conceptual approach to algebra that starts with a description of algebraic structures by means of axioms chosen to suit the examples.
Download or read book A Survey of Modern Algebra written by Birkhoff and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Survey of Modern Algebra Revised Edition Fifth Printing written by Garrett Birkhoff and published by . This book was released on 1957 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Homology written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL LING. A further development of homological ideas, with a view to their topological applications, came in my long collaboration with SAMUEL ElLENBERG; to both collaborators, especial thanks. For many years the Air Force Office of Scientific Research supported my research projects on various subjects now summarized here; it is a pleasure to acknowledge their lively understanding of basic science. Both REINHOLD BAER and JOSEF SCHMID read and commented on my entire manuscript; their advice has led to many improvements. ANDERS KOCK and JACQUES RIGUET have read the entire galley proof and caught many slips and obscurities. Among the others whose sug gestions have served me well, I note FRANK ADAMS, LOUIS AUSLANDER, WILFRED COCKCROFT, ALBRECHT DOLD, GEOFFREY HORROCKS, FRIED RICH KASCH, JOHANN LEICHT, ARUNAS LIULEVICIUS, JOHN MOORE, DIE TER PUPPE, JOSEPH YAO, and a number of my current students at the University of Chicago - not to m~ntion the auditors of my lectures at Chicago, Heidelberg, Bonn, Frankfurt, and Aarhus. My wife, DOROTHY, has cheerfully typed more versions of more chapters than she would like to count. Messrs.
Download or read book A Survey of Modern Algebra Third Edition written by Garrett Birkhoff and published by . This book was released on 1965 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Categories for the Working Mathematician written by Saunders Mac Lane and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Download or read book Handbook of Analysis and Its Foundations written by Eric Schechter and published by Academic Press. This book was released on 1996-10-24 with total page 907 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/
Download or read book A Brief Survey of Modern Algebra written by Garrett Birkhoff and published by . This book was released on 1961 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
