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ClDo _ IIIIIIIoaIIIics bu _ die 'EI JDDi, *** sij'_ ...-..._. je _ ...lIbupalaJllllllllll __ D'y_poa~: wbae it beIoap...die . . "...,. . _ DOD to dlecluly __ * __ . ~ 1110 _ is dioapaI; -. . e _ may be EricT. BeD IbIetodo--'_iL O. 1feaoriIide Mathematics is a tool for dloogIrt. A bighly necessary tool in a world where both feedback and noolineari- ties abound. Similarly, all kinds of parts of IIIIIIhcmatiI:s serve as tools for odIcr parts and for ocher sci- eoccs. Applying a simple rewriting rule to the quote on the right above one finds suc:h stalements as: 'One ser- vice topology has rcncIerM mathematical physics ...'; 'One service logic has rendered computer science . * . '; 'One service category theory has rmdcn:d mathematics ...'. All arguably true. And all statements obrainable this way form part of the raison d'etm of this series. This series, Mathmlatics tDIII Its Applications, saaned in 1977. Now that over one hundred volumcs have appeared it seems opportune to reexamine its scope. AI. the time I wrote "Growing spccialization and divenification have brought a host of monographs and textbooks on incJeasingly specialized topics. However, the 'tree' of knowledge of JJJatbcmatics and reIatcd ficIds docs not grow only by putting forth new bnDdIcs. It also happens, quite often in fact, that brancbes which were thought to be comp1etcly disparate am suddenly seen to be rdatcd.
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Preface. Part I: Classical Methods. 1. Approximation Theorems for Valuations of Fields. 2. Valuations on Commutative Rings. 3. Ordered Groups and Homomorphisms. 4. Approximation Theorems for Multistructures. Part II: Categorical Methods. 5. Categorical Logic. 6. Approximation Theorems in Categories. Bibliography. Index of Notation. Index.
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Approximation Theorems in Commutative Algebra : Classical and Categorical Methods
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Approximation Theorems in Commutative Algebra (Hardcover)
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Kluwer Academic Publishers, Dordrecht, 1992
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ISBN 13: 9780792319481
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Hardcover. Condizione: new. Hardcover. Various types of approximation theorems are frequently used in general commutative algebra, and they have been found to be useful tools in valuation theory, the theory of Abelian lattice ordered groups, multiplicative ideal theory, etc. Part 1 of this volume is devoted to the investigation of approximation theorems from a classical point of view. The chapters of this part deal with fields and rings, partly ordered groups, and with multirings and d-groups. Part II investigates approximation theorems from a general, categorical point of view. This part is essentially self-contained and requires only a basic knowledge of category theory and first-order logic. For researchers and graduate students of commutative algebra, category theory, as well as applications of logic. Investigating approximation theorems from a general, categorical point of view, this volume is self-contained and requires only a basic knowledge of category theory and first-order logic. It is intended for researchers and graduate students of commutative algebra, category theory, as well as applications of logic. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780792319481
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Approximation Theorems in Commutative Algebra: Classical and Categorical Methods (Mathematics and its Applications, 59)
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Approximation Theorems in Commutative Algebra: Classical and Categorical Methods (Mathematics and its Applications, 59)
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. Part I: Classical Methods. 1. Approximation Theorems for Valuations of Fields. 2. Valuations on Commutative Rings. 3. Ordered Groups and Homomorphisms. 4. Approximation Theorems for Multistructures. Part II: Categorical Methods. 5. Categorical . Codice articolo 5966631
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Approximation Theorems in Commutative Algebra
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Condizione: New. pp. 352. Codice articolo 2648029977
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Approximation Theorems in Commutative Algebra
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Springer Netherlands Sep 1992, 1992
ISBN 10: 0792319486
ISBN 13: 9780792319481
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -ClDo _ IIIIIIIoaIIIics bu _ die 'EI JDDi, sij'_ . . . . -. . . _. je _ . . . . . lIbupalaJllllllllll __ D'y_poa~: wbae it beIoap. . . . die . . '. . . , . _ DOD to dlecluly __ __ . ~ 1110 _ is dioapaI; -. . e _ may be EricT. BeD IbIetodo--'_iL O. 1feaoriIide Mathematics is a tool for dloogIrt. A bighly necessary tool in a world where both feedback and noolineari ties abound. Similarly, all kinds of parts of IIIIIIhcmatiI:s serve as tools for odIcr parts and for ocher sci eoccs. Applying a simple rewriting rule to the quote on the right above one finds suc:h stalements as: 'One ser vice topology has rcncIerM mathematical physics . . . '; 'One service logic has rendered computer science . . '; 'One service category theory has rmdcn:d mathematics . . . '. All arguably true. And all statements obrainable this way form part of the raison d'etm of this series. This series, Mathmlatics tDIII Its Applications, saaned in 1977. Now that over one hundred volumcs have appeared it seems opportune to reexamine its scope. AI. the time I wrote 'Growing spccialization and divenification have brought a host of monographs and textbooks on incJeasingly specialized topics. However, the 'tree' of knowledge of JJJatbcmatics and reIatcd ficIds docs not grow only by putting forth new bnDdIcs. It also happens, quite often in fact, that brancbes which were thought to be comp1etcly disparate am suddenly seen to be rdatcd. 352 pp. Englisch. Codice articolo 9780792319481
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