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A Course on Basic Model Theory

Authors: Sarbadhikari, Haimanti, Srivastava, Shashi Mohan

  • 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
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Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-981-10-5098-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-981-10-5097-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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.

Table of contents (7 chapters)

  • Introductory Concepts

    Sarbadhikari, Haimanti (et al.)

    Pages 1-43

  • Basic Introductory Results

    Sarbadhikari, Haimanti (et al.)

    Pages 45-84

  • Spaces of Types

    Sarbadhikari, Haimanti (et al.)

    Pages 85-103

  • Good Structures and Good Theories

    Sarbadhikari, Haimanti (et al.)

    Pages 105-149

  • Morley Categoricity Theorem

    Sarbadhikari, Haimanti (et al.)

    Pages 151-166

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-981-10-5098-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-981-10-5097-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Course on Basic Model Theory
Authors
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-981-10-5098-5
DOI
10.1007/978-981-10-5098-5
Hardcover ISBN
978-981-10-5097-8
Edition Number
1
Number of Pages
XIX, 291
Topics