Title, Algebra moderna. Manuales Vicens-Vives · Nuevo Límite. Authors, Garrett Birkhoff, Saunders Mac Lane. Translated by, Rafael Rodríguez Vidal. Edition, 4. Algebra Moderna Birkhoff-Mclaine. Uploaded by. Henry Mamani Bautista. Algebra, Second Edition, Michael Uploaded by. Nahian Aziz. A survey of. Garrett BirkhoffHarvard University Saunders Mac Lane The University of Chicago A SURVEY OF ern fourth.
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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. The present book presents the developments from that time to the first printing of this book. Learn more click maclanf open popover Customers who viewed this item also viewed Page 1 of 1 Start over Page 1 of 1 This shopping feature will continue to load items.
In order to navigate out of this carousel please use your heading shortcut key to navigate to the next maclanne previous heading. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. Would you like to tell us about a lower price? If you algebta a seller for this product, would you like to suggest updates maclan seller support?
This book presents modern algebra from first modernaa and is accessible to undergraduates or graduates. Read more Read less. Discover Prime Algfbra Box for Kids. Customers who viewed this item also viewed. Page 1 of 1 Start over Page 1 of 1. Survey of Modern Algebra, 3rd Edition.
Customers who bought this item also bought. Chapter 0 Graduate Studies in Mathematics. Second Edition Dover Books on Mathematics. An Introduction to the Theory of Numbers. The Macmillan Company; 1st edition Language: I’d like to read this book on Kindle Don’t have a Kindle?
Share your thoughts with other customers. Write a customer review. Showing of 18 reviews. Top Reviews Most recent Top Reviews. There was a problem filtering birihoff right now. Please try again later. MacLane was, according to wikipedia, one of the two founders of category theory in This algebra book by MacLane and Birkhoff applies the category theory perspective throughout, for better or worse. Birkhof be marked down for saying this, but in my opinion, category theory is not necessarily a good idea.
It is now the orthodox way to do algebra, and no university will let you do advanced algebra without it nowadays, although in the s it was not universally taught as the standard framework. I didn’t encounter category theory until my early postgraduate years, and that was only very specifically in the context of algebraic topology. But if you want to be in the modern mainstream, you need the category theory perspective, and this book is probably the best way to get it. Now there’s a little oddity about what is really meant by “category theory”.
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Someone informed me a jaclane of months ago that I had made a grave error in my own definition of ring epimorphisms.
Apparently the really modern definition of an epimorphism in category theory requires the right cancellative property. And monomorphisms require the left cancellative property. See wikipedia for details. But this book by MacLane and Birkhoff page 38 uses the old-fashioned definition, which only requires surjectivity. In the case of the ring category, it makes a malane difference. The old-fashioned epimorphism definition is also given by Seth Warner “Modern algebra”, page lagebra Lang “Algebra”, page ; Grove “Algebra”, pages 8, 49, ; Ash “Basic abstract algebra”, pages 19, 37, So if you want to use MacLane and Birkhoff for category theory, beware of this difference.
It seems to me as a non-algebraist that category theory was introduced as a kind of “grand unified theory” to implement bulk handling of algebraic categories. In conclusion, if you don’t have this book, you’re not an algebraist. And if you’re some other kind of mathematician, it is the best all-round reference for all of the basic categories of modern abstract algebra. This book has pretty much everything a non-algebraist would want to know about the broad sweep of algebra.
It even has chapters on multilinear and exterior algebra and affine spaces. It’s a tidy, carefully-written reader-friendly book which tries to help the reader, not show off the superior genius of the authors as some frustrating books do.
By the way, as I understand it, MacLane only introduced the space between Mac and Lane because his wife couldn’t type a capital letter in the middle of a word. I think that’s a silly reason to change the spelling of one’s name. So I spell it in the traditional way as “MacLane”. Honi soit qui mal y pense! Contains some good algebra. I enjoyed Mac Lane’s exposition. It is clear, with nice examples.
It only has a few small line diagrams I haven’t read all the way through, it gets to some advanced graduate-level material. There is so much heart poured in this book, just beautifully written and intended for all things good. I ended up buying a second copy just to have a new one. Arrived early and as advertised.
Also a very well-made book–so call me stupid. Herewith, the dumbest preliminary, in the sense of I just got it in the mail today review of MacLane and Birkhoff, 3rd Edition that you’ll read.
This book is very well made, with quality paper, and a buckram binding Smyth-sewn in signatures. Also from a more substantive POV: The exposition seems clear. More to come as I work through the text.
I guess some reviewers have read all pages and worked all the problems?
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