Post-Modern Algebra
Sep 2011 · John Wiley & Sons
Ebook
384
Pages
reportRatings and reviews aren’t verified Learn More
About this ebook
Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction.
This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features:
* A clear and concise treatment at an introductory level, tested inuniversity courses.
* A wealth of exercises illustrating concepts and their practicalapplication.
* Effective techniques for solving research problems in the realworld.
* Flexibility of presentation, making it easy to tailor material tospecific needs.
* Help with elementary proofs and algebraic notations for studentsof varying abilities.
Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work.
This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features:
* A clear and concise treatment at an introductory level, tested inuniversity courses.
* A wealth of exercises illustrating concepts and their practicalapplication.
* Effective techniques for solving research problems in the realworld.
* Flexibility of presentation, making it easy to tailor material tospecific needs.
* Help with elementary proofs and algebraic notations for studentsof varying abilities.
Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work.
About the author
JONATHAN D. H. SMITH is Professor of Mathematics at Iowa StateUniversity. His research interests comprise algebra, combinatorics,and information theory, with applications in computer science,complex systems, physics, and biology. He has published more thansixty research papers and written or edited six books.
ANNA B. ROMANOWSKA is Professor of Mathematics at WarsawUniversity of Technology. Her research interests include universalalgebra, lattice theory, and logic, with applications in computerscience and music theory. She has published fifty-five researchpapers and written or edited three books.
ANNA B. ROMANOWSKA is Professor of Mathematics at WarsawUniversity of Technology. Her research interests include universalalgebra, lattice theory, and logic, with applications in computerscience and music theory. She has published fifty-five researchpapers and written or edited three books.
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
