Groups Rings And Fields PDF Download
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Author | : David A.R. Wallace |
Publisher | : Springer Science & Business Media |
Total Pages | : 256 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1447104250 |
Download Groups, Rings and Fields Book 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.
Author | : R. B. J. T. Allenby |
Publisher | : Butterworth-Heinemann |
Total Pages | : 383 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9780340544402 |
Download Rings, Fields and Groups Book in PDF, ePub and Kindle
Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
Author | : Fernando Q. Gouvêa |
Publisher | : American Mathematical Soc. |
Total Pages | : 309 |
Release | : 2012-12-31 |
Genre | : Mathematics |
ISBN | : 1614442118 |
Download A Guide to Groups, Rings, and Fields Book 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.
Author | : Maurice Auslander |
Publisher | : Courier Corporation |
Total Pages | : 484 |
Release | : 2014-06-01 |
Genre | : Mathematics |
ISBN | : 048679542X |
Download Groups, Rings, Modules Book in PDF, ePub and Kindle
Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.
Author | : Shahriar Shahriari |
Publisher | : |
Total Pages | : 675 |
Release | : 2017 |
Genre | : Algebra |
ISBN | : 9781470436612 |
Download Algebra in Action Book 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.
Author | : P.M. Cohn |
Publisher | : Springer Science & Business Media |
Total Pages | : 470 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0857294288 |
Download Basic Algebra Book in PDF, ePub and Kindle
This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.
Author | : Louis Rowen |
Publisher | : CRC Press |
Total Pages | : 264 |
Release | : 2018-10-08 |
Genre | : Mathematics |
ISBN | : 1439863520 |
Download Algebra Book 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
Author | : Marlow Anderson |
Publisher | : CRC Press |
Total Pages | : 684 |
Release | : 2005-01-27 |
Genre | : Mathematics |
ISBN | : 1420057111 |
Download A First Course in Abstract Algebra Book in PDF, ePub and Kindle
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there
Author | : Ramji Lal |
Publisher | : Springer |
Total Pages | : 433 |
Release | : 2017-05-07 |
Genre | : Mathematics |
ISBN | : 9811042535 |
Download Algebra 1 Book in PDF, ePub and Kindle
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
Author | : Benjamin Fine |
Publisher | : JHU Press |
Total Pages | : 583 |
Release | : 2014-07-01 |
Genre | : Mathematics |
ISBN | : 1421411776 |
Download Introduction to Abstract Algebra Book in PDF, ePub and Kindle
A new approach to abstract algebra that eases student anxieties by building on fundamentals. Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: • Rings • Integral domains • The fundamental theorem of arithmetic • Fields • Groups • Lagrange's theorem • Isomorphism theorems for groups • Fundamental theorem of finite abelian groups • The simplicity of An for n5 • Sylow theorems • The Jordan-Hölder theorem • Ring isomorphism theorems • Euclidean domains • Principal ideal domains • The fundamental theorem of algebra • Vector spaces • Algebras • Field extensions: algebraic and transcendental • The fundamental theorem of Galois theory • The insolvability of the quintic