Post-Modern Algebra
Sep 2011 · John Wiley & Sons
e-Buku
384
Halaman
reportRating dan ulasan tidak disahkan Ketahui Lebih Lanjut
Perihal e-buku ini
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.
Perihal pengarang
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.
Berikan rating untuk e-Buku ini
Beritahu kami pendapat anda.
Maklumat pembacaan
Telefon pintar dan tablet
Pasang apl Google Play Books untuk Android dan iPad/iPhone. Apl ini menyegerak secara automatik dengan akaun anda dan membenarkan anda membaca di dalam atau luar talian, walau di mana jua anda berada.
Komputer riba dan komputer
Anda boleh mendengar buku audio yang dibeli di Google Play menggunakan penyemak imbas web komputer anda.
eReader dan peranti lain
Untuk membaca pada peranti e-dakwat seperti Kobo eReaders, anda perlu memuat turun fail dan memindahkan fail itu ke peranti anda. Sila ikut arahan Pusat Bantuan yang terperinci untuk memindahkan fail ke e-Pembaca yang disokong.
