An Invitation to General Algebra and Universal Constructions is popular PDF and ePub book, written by George M. Bergman in 2015-02-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Invitation to General Algebra and Universal Constructions can be Read Online from any device for your convenience.
An Invitation to General Algebra and Universal Constructions Book PDF Summary
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Detail Book of An Invitation to General Algebra and Universal Constructions PDF
- Author : George M. Bergman
- Release : 05 February 2015
- Publisher : Springer
- ISBN : 9783319114781
- Genre : Mathematics
- Total Page : 574 pages
- Language : English
- PDF File Size : 14,9 Mb
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