The Language of Mathematics (PDF)

A new and unique way of understanding the translation of
concepts and natural language into mathematical
expressions



Transforming a body of text into corresponding mathematical
expressions and models is traditionally viewed and taught as a
mathematical problem; it is also a task that most find difficult.
The Language of Mathematics: Utilizing Math in Practice
reveals a new way to view this process--not as a mathematical
problem, but as a translation, or language, problem. By presenting
the language of mathematics explicitly and systematically, this
book helps readers to learn mathematics¿and improve their
ability to apply mathematics more efficiently and effectively to
practical problems in their own work.

Using parts of speech to identify variables and functions in a
mathematical model is a new approach, as is the insight that
examining aspects of grammar is highly useful when formulating a
corresponding mathematical model. This book identifies the basic
elements of the language of mathematics, such as values, variables,
and functions, while presenting the grammatical rules for combining
them into expressions and other structures. The author describes
and defines different notational forms for expressions, and also
identifies the relationships between parts of speech and other
grammatical elements in English and components of expressions in
the language of mathematics. Extensive examples are used throughout
that cover a wide range of real-world problems and feature diagrams
and tables to facilitate understanding.

The Language of Mathematics is a thought-provoking book
of interest for readers who would like to learn more about the
linguistic nature and aspects of mathematical notation. The book
also serves as a valuable supplement for engineers, technicians,
managers, and consultants who would like to improve their ability
to apply mathematics effectively, systematically, and efficiently
to practical problems.