02860nam 2200409Ia 450 99639572670331620210104171236.0(CKB)3810000000015783(EEBO)2240871923(OCoLC)ocn318209488e(OCoLC)318209488(EXLCZ)99381000000001578320090410d1685 uy 0engurbn||||a|bb|Albert Durer revived, or, A book of dravving, limning, washing, or colouring of maps and prints[electronic resource] and the art of painting, with the names and mixtures of colours used by the picture-drawers : with directions how to lay and paint pictures upon glass, or, The young-man's time well spent : in which he hath the ground-work to make him fit for doing any thing by hand, when he is able to draw well : by the use of this work you may draw all parts of a man, legs, arms, hands, and feet, severally and together : and directions for birds, beasts, landskips, ships, and the like : moreover, grounds to lay silver or gold upon, and how silver or gold shall be laid or limned upon size, and the way to temper gold and silver, and other mettals, and divers kinds of colours, to write or to limn withal, upon vellum, parchment , or paper, and how to lay them upon the work which you intend to make, and how to varnish it when you have done : how also to diaper and shadow things, and to heighten them, to stand off : to deepen them, and make them glister [sic] : in this book you have the necessary instruments for drawing, and the use of them, and how to make artificial pastiles to draw withal : and also directions how to draw with Indian ink : wherein you have also Mr. Hollar's receipt for etching, with instructions how to use it : very useful for all handicrafts, and ingenuous gentlemen and youths : by hammer and hand, all arts do standLondon Printed by H. Hills, Jun. for John Garrett at his shop as you go up the stairs of the Royal Exchange in Cornhil ...168522, [20] p. ill., portIncludes 20 unnumbered illustrations throughout text.Advertisement: p. 22.Reproduction of original in: Library of Congress.eebo-0078DrawingStudy and teachingEarly works to 1800DrawingEarly works to 1800ArtTechniqueEarly works to 1800DrawingStudy and teachingDrawingArtTechniqueDürer Albrecht1471-1528.399465Hollar Wenceslaus1607-1677.1002644UMIUMIUMIBOOK996395726703316Albert Durer revived, or, A book of dravving, limning, washing, or colouring of maps and prints2425590UNISA04948nam 2200745Ia 450 991078428650332120230828200949.01-282-19483-697866121948323-11-019972-610.1515/9783110199727(CKB)1000000000335207(EBL)275298(OCoLC)476020819(SSID)ssj0000104942(PQKBManifestationID)11130471(PQKBTitleCode)TC0000104942(PQKBWorkID)10100371(PQKB)10020133(MiAaPQ)EBC275298(DE-B1597)19800(OCoLC)979599439(DE-B1597)9783110199727(Au-PeEL)EBL275298(CaPaEBR)ebr10154725(CaONFJC)MIL219483(OCoLC)935261822(EXLCZ)99100000000033520720060602d2006 uy 0engurnn#---|u||utxtccrApproximations and endomorphism algebras of modules[electronic resource] /by Rüdiger Göbel and Jan TrlifajBerlin ;New York Walter de Gruyter20061 online resource (664 p.)De Gruyter expositions in mathematics ;41Description based upon print version of record.3-11-011079-2 Includes bibliographical references and index.Front matter --Contents --Chapter 1. Some useful classes of modules --Chapter 2. Approximations of modules --Chapter 3. Complete cotorsion pairs --Chapter 4. Deconstruction of cotorsion pairs --Chapter 5. Tilting approximations --Chapter 6. 1-tilting modules and their applications --Chapter 7. Tilting approximations and the finitistic dimension conjectures --Chapter 8. Cotilting modules --Chapter 9. The Black Box and its relatives --Chapter 10. Independence results for cotorsion pairs --Chapter 11. The lattice of cotorsion pairs --Chapter 12. Realizing algebras - by algebraically independent elements and by prediction principles --Chapter 13. E(R)-algebras --Chapter 14. Modules with distinguished submodules --Chapter 15. Some useful classes of algebras --BackmatterThe category of all modules over a general associative ring is too complex to admit any reasonable classification. Thus, unless the ring is of finite representation type, one must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions and these are generally viewed as obstacles to the classification. Realization theorems have thus become important indicators of the non-classification theory of modules. In order to overcome this problem, approximation theory of modules has been developed over the past few decades. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by ones from C. These approximations are neither unique nor functorial in general, but there is always a rich supply available appropriate to the requirements of various particular applications. Thus approximation theory has developed into an important part of the classification theory of modules. In this monograph the two methods are brought together. First the approximation theory of modules is developed and some of its recent applications, notably to infinite dimensional tilting theory, are presented. Then some prediction principles from set theory are introduced and these become the principal tools in the establishment of appropriate realization theorems. The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.Gruyter expositions in mathematics ;41.Modules (Algebra)Moduli theoryApproximation theoryAlgebra, ideal, module, ring, indecomposable module.Modules (Algebra)Moduli theory.Approximation theory.512/.42510sdnbSK 150rvkSK 230rvkSK 820rvkGöbel R(Rüdiger),1940-60070Trlifaj Jan1561252MiAaPQMiAaPQMiAaPQBOOK9910784286503321Approximations and endomorphism algebras of modules3827819UNINA