This book investigates linguistic variation as a complex continuum of language use from standard to nonstandard. In our view, these notions can only be established through mutual definition, and they cannot exist without the opposite pole. What is considered standard English changes according to the approach at hand, and the nonstandard changes accordingly. This book offers an interdisciplinary and multifaceted approach to this central theme of wide interest.
Nonstandard analysis represents a fundamental change of perspective in mathematics (and sciences), comparable to the introduction of Cantor's set theory in the nineteenth century. This book is a short, readable introduction to the subject, based on the axiomatic or IST approach. The first part gives a clear, rigorous exposition of the theory; the second part consists of a number of self-contained chapters dealing with applications. As an aid to self-study, the author has included exercises at the end of each chapter, with hints as well as full solutions.
The Theory of Differential Equations: Classical and Qualitative
For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations.
Nonstandard Logics and Nonstandard Metrics in Physics
This work presents two mathematical techniques: non-standard logics and non-standard metrics. The techniques are applied to current problems in physics, such as the hidden variable problem and the local and nonlocal problems.
Teenage talk is fascinating, though so far teenage language has not been given the attention in linguistic research that it merits. The first part of "Trends in Teenage Talk" gives a description how the corpus was collected and processed. The second part of the book is devoted to the most prominent features of the teenagers' talk: "slanguage"; how reported speech is manifested; a survey of non-standard grammatical features; the use of intensifiers; tags; and interactional behaviour in terms of conflict talk.
