机读格式显示(MARC)

• 000 02649cam 2200289 a 4500

• 001 0000506006

• 003 OCoLC

• 005 20111129113856.0

• 008 110928s2012 flua b 001 0 eng

• 010 __ |a 2011036515

• 020 __ |a 9781439851296 (hardback)

• 020 __ |a 1439851298 (hardback)

• 035 __ |a (OCoLC)635487967

• 040 __ |a DLC |c DLC |d YDX |d BTCTA |d YDXCP |d UKMGB |d BWX |d VRC |d CIN

• 050 00 |a QA251 |b .B45 2012

• 082 00 |a 512 |2 23

• 093 __ |a O15 |2 4

• 100 1_ |a Bergman, C. H. |q (Clifford H.), |d 1953-

• 245 10 |a Universal algebra : |b fundamentals and selected topics / |c Clifford Bergman.

• 260 __ |a Boca Raton, FL : |b CRC Press, |c c2012.

• 300 __ |a xi, 308 p. : |b ill. ; |c 25 cm.

• 490 1_ |a Pure and applied mathematics : a series of monographs and textbooks ; |v 301.

• 504 __ |a Includes bibliographical references and indexes.

• 520 __ |a "Preface This text is based on the two-semester course that I have taught over the years at Iowa State University. In the writing, as in my course, I attempt to convey my enthusiasm for the subject and my feelings that it is a worthy object of study for both graduate students and professional mathematicians. In choosing the level of detail, I have taken my inspiration more from the tradition of first-year algebra texts such as van der Waerden, Lang, and Dummit and Foote, than from a typical research monograph. The book is addressed to newcomers to the field, whom I do not wish to overwhelm, more than to veterans seeking an encyclopedic reference work. It is the job of the author to decide what to omit. One rule of thumb that I have always used in my classes is to introduce a tool only if it will be applied later in the course. As a teacher, I have always found it frustrating to expend a lot of effort and class time developing some construction and then not be able to demonstrate its importance. Thus, for example, in Chapter 7, the basics of commutator theory are developed in the context of congruence-permutable varieties and applied to the characterization of directly representable varieties. The more involved development in the congruence-modular case is omitted since it isn't needed for this application. As I have matured as a teacher, I have come to incorporate many more examples into all of my classes. I have applied that philosophy to the writing of this book. Throughout the text a series of examples is developed that can be used repeatedly to illustrate new concepts as they are introduced"-- |c Provided by publisher.

• 650 _0 |a Algebra, Universal.

• 650 _0 |a Algebraic logic.

• 830 _0 |a Monographs and textbooks in pure and applied mathematics ; |v 301.