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 Comics Memory by George M. Bergman
Cover of the book Pollution Control and Resource Reuse for Alkaline Hydrometallurgy of Amphoteric Metal Hazardous Wastes by George M. Bergman
Cover of the book Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements by George M. Bergman
Cover of the book Black Rice by George M. Bergman
Cover of the book Humanitarian Assistance for Displaced Persons from Myanmar by George M. Bergman
Cover of the book A Route to Chaos Using FPGAs by George M. Bergman
Cover of the book Autonomous Agents and Multiagent Systems by George M. Bergman
Cover of the book Machine Learning Techniques for Gait Biometric Recognition by George M. Bergman
Cover of the book Photon Management Assisted by Surface Waves on Photonic Crystals by George M. Bergman
Cover of the book Selfie Citizenship by George M. Bergman
Cover of the book Utility of Bromelain and N-Acetylcysteine in Treatment of Peritoneal Dissemination of Gastrointestinal Mucin-Producing Malignancies by George M. Bergman
Cover of the book Gender in Human Rights and Transitional Justice by George M. Bergman
Cover of the book Micromechanics of Materials, with Applications by George M. Bergman
Cover of the book Doctoral Education for the Knowledge Society by George M. Bergman
Cover of the book Combinatorial Algorithms 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