Cantitate/Preț
Produs

A Guide to Classical and Modern Model Theory: Trends in Logic, cartea 19

Autor Annalisa Marcja, Carlo Toffalori
en Limba Engleză Paperback – 30 iun 2003
Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics. It is a lively and fertile research area which deserves the attention of the mathematical world.
This volume:
-is easily accessible to young people and mathematicians unfamiliar with logic;
-gives a terse historical picture of Model Theory;
-introduces the latest developments in the area;
-provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters.
A Guide to Classical and Modern Model Theory is for trainees and professional model theorists, mathematicians working in Algebra and Geometry and young people with a basic knowledge of logic.
Citește tot Restrânge

Din seria Trends in Logic

Preț: 80411 lei

Preț vechi: 98062 lei
-18%

Puncte Express: 1206

Carte tipărită la comandă

Livrare economică 20 iulie-03 august

Livrare prin curier în România Termenul estimat este afișat lângă disponibilitate.
Transport gratuit pentru acest produs Plată online sau ramburs, în funcție de opțiunile comenzii.
Retur gratuit în 14 zile Comandă securizată și suport în română.

Specificații

ISBN-13: 9781402013317
ISBN-10: 1402013310
Pagini: 384
Ilustrații: XI, 371 p.
Dimensiuni: 160 x 240 x 20 mm
Greutate: 0.6 kg
Ediția:2003
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Trends in Logic

Locul publicării:Dordrecht, Netherlands

Public țintă

Professional/practitioner

Cuprins

Structures.- 1.1 Structures.- 1.2 Sentences.- 1.3 Embeddings.- 1.4 The Compactness Theorem.- 1.5 Elementary classes and theories.- 1.6 Complete theories.- 1.7 Definable sets.- 1.8 References.- Quantifier Elimination.- 2.1 Elimination sets.- 2.2 Discrete linear orders.- 2.3 Dense linear orders.- 2.4 Algebraically closed fields (and Tarski).- 2.5 Tarski again: Real closed fields.- 2.6 pp-elimination of quantifiers and modules.- 2.7 Strongly minimal theories.- 2.8 o-minimal theories.- 2.9 Computational aspects of q. e.- 2.10 References.- Model Completeness.- 3.1 An introduction.- 3.2 Abraham Robinson’s test.- 3.3 Model completeness and Algebra.- 3.4 p-adic fields and Artin’s Conjecture.- 3.5 Existentially closed structures.- 3.6 DCF0.- 3.7 SCFp and DCFp.- 3.8 ACFA.- 3.9 References.- Elimination of imaginaries.- 4.1 Interpretability.- 4.2 Imaginary elements.- 4.3 Algebraically closed fields.- 4.4 Real closed fields.- 4.5 The elimination of imaginaries sometimes fails.- 4.6 References.- Morley rank.- 5.1 A tale of two chapters.- 5.2 Definable sets.- 5.3 Types.- 5.4 Saturated models.- 5.5 A parenthesis: pure injective modules.- 5.6 Omitting types.- 5.7 The Morley rank, at last.- 5.8 Strongly minimal sets.- 5.9 Algebraic closure and definable closure.- 5.10 References.- ? -stability.- 6.1 Totally transcendental theories.- 6.2 ?-stable groups.- 6.3 ?-stable fields.- 6.4 Prime models.- 6.5 DCF0 revisited.- 6.6 Ryll-Nardzewski’s Theorem, and other things.- 6.7 References.- Classifying.- 7.1 Shelah’s Classification Theory.- 7.2 Simple theories.- 7.3 Stable theories.- 7.4 Superstable theories.- 7.5 ?-stable theories.- 7.6 Classifiable theories.- 7.7 Shelah’s Uniqueness Theorem.- 7.8 Morley’s Theorem.- 7.9 Biinterpretability and Zilber Conjecture.- 7.10 Two algebraicexamples.- 7.11 References.- Model Theory and Algebraic Geometry.- 8.1 Introduction.- 8.2 Algebraic varieties, ideals, types.- 8.3 Dimension and Morley rank.- 8.4 Morphisms and definable functions.- 8.5 Manifolds.- 8.6 Algebraic groups.- 8.7 The Mordell-Lang Conjecture.- 8.8 References.- O-minimality.- 9.1 Introduction.- 9.2 The Monotonicity Theorem.- 9.3 Cells.- 9.4 Cell decomposition and other theorems.- 9.5 Their proofs.- 9.6 Definable groups in o-minimal structures.- 9.7 O-minimality and Real Analysis.- 9.8 Variants on the o-minimal theme.- 9.9 No rose without thorns.- 9.10 References.