LINGUIST List 17.303|
Sun Jan 29 2006
Books: Computational Linguistics: Hubey
Editor for this issue: Megan Zdrojkowski
Links to the websites of all LINGUIST's supporting publishers are available at the end of this issue.
Mathematical Foundations of Linguistics: Hubey
Message 1: Mathematical Foundations of Linguistics: Hubey
From: Ulrich Lueders <lincom.europat-online.de>
Subject: Mathematical Foundations of Linguistics: Hubey
Title: Mathematical Foundations of Linguistics
Series Title: LINCOM Handbooks in Linguistics 10
Publisher: Lincom GmbH
Author: H. Mark Hubey, Montclair State University
Paperback: ISBN: 3895866415 Pages: 260 Price: Europe EURO 51.60 Comment: Course discounts available!
Only a few decades ago, only mathematicians, physicists and engineers took
calculus courses, and calculus was tailored for them using examples from
physics. This made it difficult for students from the life sciences
including biology, economics, and psychology to learn mathematics.
Recently, books using examples from the life sciences and economics have
become more popular for such students. Such a math book does not exist for
linguists. Even the computational linguistics books (Formal Language
Theory) are written for mathematicians and computer scientists.
This book is for linguists. It is intended to teach the required math for a
student to be a scientific linguist and to make linguistics a science on
par with economics, and computer science.
There are many concepts that are central to the sciences. Most students
never see these in one place and if they do, they have to wait until
graduate school to obtain them in the often-dreaded "quantitative"
courses. As a result sometimes it takes years or even decades before
learners are able to integrate what they have learned into a whole, if
ever. We have little time and much to do.
In addition to all of these problems we are now awash in data and
information. It is now that the general public should be made aware of the
solution to all of these problems. The answer is obviously "knowledge
compression". Knowledge is structured information; it is a system not
merely a collection of interesting facts.
What this book does, and what all other math books do, is teach people the
tools with which they can structure and thus compress information and
knowledge around them. It has also been said that mathematics is the
science of patterns; it is exactly by finding such patterns that we
compress knowledge. We can say that mathematics is the science of
knowledge compression or information compression.
This book provides the basic tools for mathematics (even including a short
and intuitive explanation of differential and integral calculus). The broad
areas of linguistics, probability theory, speech synthesis, speech
recognition, computational linguistics (formal languages and machines), and
historical linguistics require mathematics of counting/combinatorics,
Bayesian theory, correlation-regression analysis, stochastic processes,
differential equations, and vectors/tensors. These in turn are based on set
theory, logic, measurement theory, graph theory, algebra, Boolean algebra,
harmonic analysis etc.
The mathematical fields introduced here are all common ideas from one which
one can branch off into more advanced study in any of these fields thus
this book brings together ideas from many disparate fields of mathematics
which would not normally be put together into a single course. This is what
makes this a book especially written for linguists.
Written In: English (eng )
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