Rings, Fields and Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rings, Fields and Groups write by R. B. J. T. Allenby. This book was released on 1991. Rings, Fields and Groups available in PDF, EPUB and Kindle. Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
Groups, Rings and Fields
Groups, Rings and Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Groups, Rings and Fields write by David A.R. Wallace. This book was released on 2012-12-06. Groups, Rings and Fields available in PDF, EPUB and Kindle. This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.
A Guide to Groups, Rings, and Fields
A Guide to Groups, Rings, and Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Guide to Groups, Rings, and Fields write by Fernando Q. Gouvêa. This book was released on 2012. A Guide to Groups, Rings, and Fields available in PDF, EPUB and Kindle. Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Algebra in Action
Algebra in Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebra in Action write by Shahriar Shahriari. This book was released on 2017. Algebra in Action available in PDF, EPUB and Kindle. This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
Algebra
Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebra write by Louis Rowen. This book was released on 2018-10-08. Algebra available in PDF, EPUB and Kindle. This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course. The author is one of the preeminent researchers in this field and brings the reader up to the recent frontiers of research including never-before-published material. From the table of contents: - Groups: Monoids and Groups - Cauchyís Theorem - Normal Subgroups - Classifying Groups - Finite Abelian Groups - Generators and Relations - When Is a Group a Group? (Cayley's Theorem) - Sylow Subgroups - Solvable Groups - Rings and Polynomials: An Introduction to Rings - The Structure Theory of Rings - The Field of Fractions - Polynomials and Euclidean Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence - Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes a set of exercises
