Lattice theory
β Scribed by Garrett Birkhoff; American Mathematical Society
- Publisher
- American Mathematical Society
- Year
- 1967
- Tongue
- English
- Leaves
- 423
- Series
- Colloquium publications (American Mathematical Society), v. 25
- Edition
- 3ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
A Concrete Approach to Abstract AlgebraΒ begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students.Β The text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics wich arise in courses in algebra, geometry, trigonometry, precalculus and calculus.Β The final four chapters presentΒ the more theoretical material needed for graduate study. Ancillary list: * Online ISM- http://textbooks.elsevier.com/web/manuals.aspx?isbn=9780123749413 * Online SSM- http://www.elsevierdirect.com/product.jsp?isbn=9780123749413 * Ebook- http://www.elsevierdirect.com/product.jsp?isbn=9780123749413 Presents a more natural 'rings first' approachΒ to effectively leading the student into the the abstract material of the course by the use of motivating concepts from previous math courses to guide the discussion of abstract algebraBridges the gap for students by showing how most of the concepts within an abstract algebra course are actually tools used to solve difficult, but well-known problems Builds on relatively familiar material (Integers, polynomials) and moves onto more abstract topics, while providing a historical approach of introducing groups first as automorphisms Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices
π SIMILAR VOLUMES
The purpose of the third edition is threefold: to make the deeper ideas of lattice theory accessible to mathematicians generally, to portray its structure, and to indicate some of its most interesting applications. This 1996 reprint includes expanded and updated Additional References.
The purpose of the third edition is threefold: to make the deeper ideas of lattice theory accessible to mathematicians generally, to portray its structure, and to indicate some of its most interesting applications. This 1996 reprint includes expanded and updated Additional References.
Since its original publication in 1940, this book has been revised and modernized several times, most notably in 1948 (second edition) and in 1967 (third edition). The material is organized into four main parts: general notions and concepts of lattice theory (Chapters I-V), universal algebra (Chapte
The purpose of the third edition is threefold: to make the deeper ideas of lattice theory accessible to mathematicians generally, to portray its structure, and to indicate some of its most interesting applications. This 1996 reprint includes expanded and updated Additional References