Model Theory, Algebra, and Geometry by Deirdre Haskell
Model Theory, Algebra, and Geometry - Table of Contents
PART I: INTRODUCTORY MODEL THEORY & ALGEBRA
- 1. Introduction to Model Theory
- 2. Model Theory of Fields
- 3. Differentially Closed Fields
- 4. Valued Fields and Real Closed Fields
PART II: GEOMETRIC MODEL THEORY
- 1. Stability Theory Basics
- 2. O-minimal Structures and Real Geometry
- 3. Orthogonality and Independence
PART III: APPLICATIONS TO ALGEBRAIC GEOMETRY
- 1. Model Theory and Diophantine Geometry
- 2. The Mordell-Lang Conjecture
- 3. Groups Definable in Model Theory
- 4. Geometric Stability in Action
What You Will Learn in Model Theory, Algebra, and Geometry
Model Theory, Algebra, and Geometry edited by Deirdre Haskell, Anand Pillay, and Charles Steinhorn is an authoritative volume that illuminates the powerful intersection between mathematical logic and classical algebra. Derived from introductory lectures, this text introduces core techniques like o-minimality, stable groups, and geometric model theory without burdening readers with unnecessary formalism.
Designed for graduate students and researchers in logic or algebraic geometry, this foundational reference provides a clear path into modern research topics. The contributors break down complex theoretical bridges, demonstrating how model-theoretic concepts directly inform problems in diophantine geometry and algebraic groups. Whether you are a logician exploring geometry or an algebraist learning model theory, this volume offers a structured framework.
Recognized for its clear expository style, it remains one of the best introductory books on geometric model theory pdf available. By emphasizing structural clarity and concrete applications, it serves as an indispensable tool for mastering modern model theory with confidence.
Book Details & Specifications
Title:
Model Theory, Algebra, and Geometry by Deirdre Haskell
Publisher:
Cambridge University Press
Year:
2010
Pages:
236
Type:
PDF
Language:
English
ISBN-10 #:
0521143497
ISBN-13 #:
978-0521143493
License:
Linked Content Owned by Author
Amazon:
Amazon
About the Author: Deirdre Haskell
The author Deirdre Haskell
Deirdre Haskell is a distinguished Canadian mathematician and professor known for her significant contributions to mathematical logic and model theory, particularly in valuation theory and o-minimality. She has served in prominent leadership roles within the international mathematics community and has co-edited influential volumes to make modern logic accessible to broader audiences.
Alongside co-editors Anand Pillay and Charles Steinhorn, Haskell compiled Model Theory, Algebra, and Geometry to highlight the deep interactions between logic and geometry. Her dedication to graduate education and clear mathematical exposition makes this volume a classic reference for geometric logic that continues to inspire researchers worldwide.
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