Mathematical Linguistics by Andras Kornai
Mathematical Linguistics - Table of Contents
PART I: STRUCTURAL LINGUISTICS & GRAMMAR
- 1. Introduction
- 2. The Elements
- 3. Algebraic Phonology
- 4. Finite-State Morphology
- 5. Formal Syntax and Grammars
PART II: SEMANTICS, COMPLEXITY & SPEECH
- 6. Model-Theoretic Semantics
- 7. Linguistic Complexity and Automata
- 8. Linguistic Pattern Recognition
- 9. Speech and Handwriting Processing
- 10. Information-Theoretic Simplicity
What You Will Learn in Mathematical Linguistics
Mathematical Linguistics by Andras Kornai is an advanced, mathematically rigorous monograph published by Springer that establishes the formal mathematical foundations of natural language structure and processing. This comprehensive volume guides readers through algebraic phonology, finite-state morphology, formal syntax, context-free and mildly context-sensitive grammars, model-theoretic semantics, algorithmic information theory, Kolmogorov complexity, linguistic pattern recognition, and speech signal modeling with exceptional analytical precision and structural clarity.
Designed for graduate students, computational linguists, computer scientists, natural language processing (NLP) researchers, and mathematical logicians, this foundational text unifies pure formal language theory and empirical linguistic data. Kornai details step-by-step formulations for automaton-based phonological transformations, tree-adjoining grammars, vector-space semantic models, and information-theoretic measures of linguistic simplicity. Whether you are developing parsing algorithms, modeling speech recognition systems, or analyzing formal grammar hierarchies, this book offers an indispensable roadmap.
Recognized globally for its encyclopedic integration of algebra, logic, and natural language structure, it stands as one of the best mathematical linguistics books for advanced self-study. By connecting abstract mathematical machinery directly to human language phenomena, it serves as an essential tool for mastering computational linguistics and formal language theory with confidence.
Book Details & Specifications
Title:
Mathematical Linguistics by Andras Kornai
Publisher:
Springer
Year:
2022
Pages:
300
Type:
PDF
Language:
English
ISBN-10 #:
1846289858
ISBN-13 #:
978-1846289859
License:
Institutional Research Resource / Open Access Manuscript
Amazon:
Amazon
About the Author: Andras Kornai
The author Andras Kornai
is a distinguished mathematician, computational linguist, and Professor in the Department of Algebra at the Budapest University of Technology and Economics, as well as a Senior Research Fellow at the Computer and Automation Research Institute of the Hungarian Academy of Sciences (SZTAKI). He received his PhD in Linguistics from Stanford University and his PhD in Mathematics from Eötvös Loránd University, bringing decades of expertise in formal language theory, algebra, and industrial NLP.
Through Mathematical Linguistics, Kornai delivers a definitive and unifying treatment of the quantitative and algebraic methods governing human language. His rigorous proof structures, deep interdisciplinary insights, and focus on information-theoretic principles make this text a classic reference for formal and computational linguistics trusted by researchers worldwide.
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