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A Course on Basic Model Theory
Taschenbuch von Shashi Mohan Srivastava (u. a.)
Sprache: Englisch

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Beschreibung
This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required.
The book can be used for both teaching and self-study, ideally over two semesters. It is primarily aimed at graduate students in mathematical logic who want to specialise in model theory. However, the first two chapters constitute the first introduction to the subject and can be covered in one-semester course to senior undergraduate students in mathematical logic. The book is also suitable for researchers who wish to use model theory in their work.
This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required.
The book can be used for both teaching and self-study, ideally over two semesters. It is primarily aimed at graduate students in mathematical logic who want to specialise in model theory. However, the first two chapters constitute the first introduction to the subject and can be covered in one-semester course to senior undergraduate students in mathematical logic. The book is also suitable for researchers who wish to use model theory in their work.
Über den Autor

H. SARBADHIKARI
graduated from the Indian Statistical Institute, Kolkata, in 1979 under the supervision of Prof. A. Maitra. She was a Ford Foundation Fellow at the University of California, Los Angeles, in 1979, and a visiting assistant professor at the University of Illinois, Chicago, in 1980. She joined the Indian Statistical Institute, Kolkata, in 1980, as the permanent faculty and retired from the position of professor in 2010. Her primary research interest is in descriptive set theory.

S.M. SRIVASTAVA
graduated from the Indian Statistical Institute, Kolkata, in 1980, under the supervision of Prof. A. Maitra. He was a member of the Institute for Advanced Studies, Princeton, during the academic year 1979-80. He joined the Indian Statistical Institute, Kolkata, in 1980, as the permanent faculty and is currently a higher academic grade professor. His primary research interest lies in descriptive set theory. He is the recipient of the Indian National Science Academy medal for young scientists. He is the author of the books
A Course on Borel Sets
and
A Course on Mathematical Logic
(both published by Springer). He is an enthusiastic teacher and has written several expository articles aimed at popularising mathematical logic and set theory in India.

Zusammenfassung

Broadens readers understanding through its brief, lucid, and focused content on model theory

Provides a systematic approach with plenty of examples and exercises to learn the topic quickly

Presents a quick stepping stone to further research in model theory

Inhaltsverzeichnis
Chapter 1.
Basic Introductory Concepts.-
Chapter 2.
Basic Introductory Results.-
Chapter 3.
Spaces of Types.-
Chapter 4.
Good Structures and Good Theories.-
Chapter 5.
Morley Categoricity Theorem and Forking Independence.-
Chapter 6.
Model Theory of Valued Fields.
Details
Erscheinungsjahr: 2018
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xix
291 S.
ISBN-13: 9789811353185
ISBN-10: 9811353182
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Srivastava, Shashi Mohan
Sarbadhikari, Haimanti
Auflage: Softcover reprint of the original 1st ed. 2017
Hersteller: Springer Singapore
Springer Nature Singapore
Maße: 235 x 155 x 17 mm
Von/Mit: Shashi Mohan Srivastava (u. a.)
Erscheinungsdatum: 12.12.2018
Gewicht: 0,476 kg
Artikel-ID: 115114158
Über den Autor

H. SARBADHIKARI
graduated from the Indian Statistical Institute, Kolkata, in 1979 under the supervision of Prof. A. Maitra. She was a Ford Foundation Fellow at the University of California, Los Angeles, in 1979, and a visiting assistant professor at the University of Illinois, Chicago, in 1980. She joined the Indian Statistical Institute, Kolkata, in 1980, as the permanent faculty and retired from the position of professor in 2010. Her primary research interest is in descriptive set theory.

S.M. SRIVASTAVA
graduated from the Indian Statistical Institute, Kolkata, in 1980, under the supervision of Prof. A. Maitra. He was a member of the Institute for Advanced Studies, Princeton, during the academic year 1979-80. He joined the Indian Statistical Institute, Kolkata, in 1980, as the permanent faculty and is currently a higher academic grade professor. His primary research interest lies in descriptive set theory. He is the recipient of the Indian National Science Academy medal for young scientists. He is the author of the books
A Course on Borel Sets
and
A Course on Mathematical Logic
(both published by Springer). He is an enthusiastic teacher and has written several expository articles aimed at popularising mathematical logic and set theory in India.

Zusammenfassung

Broadens readers understanding through its brief, lucid, and focused content on model theory

Provides a systematic approach with plenty of examples and exercises to learn the topic quickly

Presents a quick stepping stone to further research in model theory

Inhaltsverzeichnis
Chapter 1.
Basic Introductory Concepts.-
Chapter 2.
Basic Introductory Results.-
Chapter 3.
Spaces of Types.-
Chapter 4.
Good Structures and Good Theories.-
Chapter 5.
Morley Categoricity Theorem and Forking Independence.-
Chapter 6.
Model Theory of Valued Fields.
Details
Erscheinungsjahr: 2018
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xix
291 S.
ISBN-13: 9789811353185
ISBN-10: 9811353182
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Srivastava, Shashi Mohan
Sarbadhikari, Haimanti
Auflage: Softcover reprint of the original 1st ed. 2017
Hersteller: Springer Singapore
Springer Nature Singapore
Maße: 235 x 155 x 17 mm
Von/Mit: Shashi Mohan Srivastava (u. a.)
Erscheinungsdatum: 12.12.2018
Gewicht: 0,476 kg
Artikel-ID: 115114158
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