LEADER 00000cam a2200637Ia 4500 001 861618524 003 OCoLC 005 20240129213017.0 006 m o d 007 cr unu|||||||| 008 131028s2012 flua ob 000 0 eng d 010 2011036515 019 1066447913|a1103280913|a1129368147 020 1439851298 020 9781439851296 029 1 AU@|b000052162540 029 1 DEBBG|bBV041433172 029 1 DEBSZ|b398291403 029 1 AU@|b000065156479 035 (OCoLC)861618524|z(OCoLC)1066447913|z(OCoLC)1103280913 |z(OCoLC)1129368147 037 CL0500000325|bSafari Books Online 040 UMI|beng|epn|cUMI|dDEBSZ|dOCLCQ|dOCLCF|dCOO|dOCLCQ|dCRCPR |dOCLCQ|dCEF|dWYU|dYDX|dVT2|dUKAHL|dRDF|dOCLCO|dOCLCQ|dSFB |dOCLCQ|dOCLCO|dOCLCL 049 INap 082 04 512 082 04 512|223 099 eBook O'Reilly for Public Libraries 100 1 Bergman, C. H.|q(Clifford H.),|d1953-|1https://id.oclc.org /worldcat/entity/E39PBJrwWX9hgJKpFMKvBM6kDq 245 10 Universal algebra :|bfundamentals and selected topics / |cClifford Bergman.|h[O'Reilly electronic resource] 260 Boca Raton :|bCRC Press,|c©2012. 300 1 online resource (xi, 297 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 490 1 Pure and applied mathematics : a series of monographs and textbooks 504 Includes bibliographical references (pages 291-297). 505 0 Part I I Fundamentals of Universal Algebra -- chapter 1 Algebras -- chapter 2 Lattices -- chapter 3 The Nuts and Bolts of Universal Algebra -- chapter 4 Clones, Terms, and Equational Classes -- part II II Selected Topics -- chapter 5 Congruence Distributive Varieties -- chapter 6 Arithmetical Varieties -- chapter 7 Maltsev Varieties -- chapter 8 Finite Algebras and Locally Finite Varieties. 520 "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"--|cProvided by publisher. 588 0 Print version record. 590 O'Reilly|bO'Reilly Online Learning: Academic/Public Library Edition 650 0 Algebra, Universal. 650 0 Algebraic logic. 650 6 Algèbre universelle. 650 6 Logique algébrique. 650 7 Algebra, Universal|2fast 650 7 Algebraic logic|2fast 776 08 |iPrint version:|aBergman, C.H. (Clifford H.), 1953- |tUniversal algebra.|dBoca Raton : CRC Press, ©2012 |z9781439851296|w(DLC) 2011036515|w(OCoLC)635487967 830 0 Monographs and textbooks in pure and applied mathematics. 856 40 |uhttps://ezproxy.naperville-lib.org/login?url=https:// learning.oreilly.com/library/view/~/9781439851302/?ar |zAvailable on O'Reilly for Public Libraries 938 Askews and Holts Library Services|bASKH|nAH36658533 938 Askews and Holts Library Services|bASKH|nAH26125251 938 YBP Library Services|bYANK|n15918247 938 CRC Press|bCRCP|n9781439851302 994 92|bJFN