Model Theory : An Introduction, David Marker

Автор: Awodey, Steve
Название: Introduction to Category Theory (Paperback)
ISBN: 0199237182 ISBN-13(EAN): 9780199237180
Издательство: Oxford Academ
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Описание: A comprehensive reference to category theory for students and researchers in mathematics, computer science, logic, cognitive science, linguistics, and philosophy. Useful for self-study and as a course text, the book includes all basic definitions and theorems (with full proofs), as well as numerous examples and exercises.

Автор: Barot Michael
Название: Introduction to the Representation Theory of Algebras
ISBN: 3319114743 ISBN-13(EAN): 9783319114743
Издательство: Springer
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Описание: and (iii) deeper theorems such as Gabriel`s Theorem, the trichotomy and the Theorem of Kac - all accompanied by further examples.Each section includes exercises to facilitate understanding.

Автор: Steven Roman
Название: An Introduction to the Language of Category Theory
ISBN: 3319419161 ISBN-13(EAN): 9783319419169
Издательство: Springer
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Описание: The first chapter of the book introduces the definitions of category and functor and discusses diagrams,duality, initial and terminal objects, special types of morphisms, and some special types of categories,particularly comma categories and hom-set categories.

Автор: Taylor, John R.
Название: Introduction to error analysis
ISBN: 093570275X ISBN-13(EAN): 9780935702750
Издательство: Springer
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Описание: The need for error analysis is captured in the book`s arresting cover shot - of the 1895 Paris train disaster (also available as a wall poster). The early chapters teach elementary techniques of error propagation and statistical analysis to enable students to produce successful lab reports.

Автор: K. Kunen
Название: Set Theory An Introduction To Independence Proofs,
ISBN: 0444868399 ISBN-13(EAN): 9780444868398
Издательство: Elsevier Science
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Описание: Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.

Автор: Yu. I. Manin; Alexei A. Panchishkin
Название: Introduction to Modern Number Theory
ISBN: 3642057977 ISBN-13(EAN): 9783642057977
Издательство: Springer
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Описание: It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. This substantially revised and expanded new edition contains several new sections, such as Wiles` proof of Fermat`s Last Theorem, and relevant techniques coming from a synthesis of various theories.

Автор: G. Takeuti; W.M. Zaring
Название: Introduction to Axiomatic Set Theory
ISBN: 1461381703 ISBN-13(EAN): 9781461381709
Издательство: Springer
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Описание: In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel`s work on the con- sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen`s work on the independence of the AC and the GCH.

Автор: Graham Priest
Название: An Introduction to Non-Classical Logic
ISBN: 0521854334 ISBN-13(EAN): 9780521854337
Издательство: Cambridge Academ
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Описание: This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues are explained.

Автор: Hodges
Название: Model Theory
ISBN: 0521066360 ISBN-13(EAN): 9780521066365
Издательство: Cambridge Academ
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Описание: Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

Автор: Marker David
Название: Model Theory: An Introduction
ISBN: 0387987606 ISBN-13(EAN): 9780387987606
Издательство: Springer
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Описание: Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures