An Invitation to General Algebra and Universal Constructions

Nonfiction, Science & Nature, Mathematics, Algebra, History
Cover of the book An Invitation to General Algebra and Universal Constructions by George M. Bergman, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: George M. Bergman ISBN: 9783319114781
Publisher: Springer International Publishing Publication: February 5, 2015
Imprint: Springer Language: English
Author: George M. Bergman
ISBN: 9783319114781
Publisher: Springer International Publishing
Publication: February 5, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Grandparents of Children with Disabilities by George M. Bergman
Cover of the book Statecraft and Liberal Reform in Advanced Democracies by George M. Bergman
Cover of the book Creativity and Universality in Language by George M. Bergman
Cover of the book Popigai Impact Structure and its Diamond-Bearing Rocks by George M. Bergman
Cover of the book SialoGlyco Chemistry and Biology II by George M. Bergman
Cover of the book Recent Trends in Cancer Biology: Spotlight on Signaling Cascades and microRNAs by George M. Bergman
Cover of the book Modeling and Control for a Blended Wing Body Aircraft by George M. Bergman
Cover of the book Theory of the Nuclear Magnetic 1/T1 Relaxation Rate in Conventional and Unconventional Magnets by George M. Bergman
Cover of the book Entrepreneurship and the Industry Life Cycle by George M. Bergman
Cover of the book Doppler Echocardiography in Infancy and Childhood by George M. Bergman
Cover of the book Large-Scale Visual Geo-Localization by George M. Bergman
Cover of the book Strain Variation in the Mycobacterium tuberculosis Complex: Its Role in Biology, Epidemiology and Control by George M. Bergman
Cover of the book Intelligent Information and Database Systems by George M. Bergman
Cover of the book Care of Adults with Chronic Childhood Conditions by George M. Bergman
Cover of the book Filtering and Control of Wireless Networked Systems by George M. Bergman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy