The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, Lebesgue integral, vector calculus and differential equations. After having built on a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis, as understood by a mathematician today.
The growing availability of large collections of language texts has expanded our horizons for language analysis, enabling the swift analysis of millions of words of data, aided by computational methods. This edited collection contains examples of such contemporary research which uses corpus linguistics to carry out discourse analysis. The book takes an inclusive view of the meaning of discourse, covering different text-types or modes of language, including discourse as both social practice and as ideology or representation.
This book demonstrates the contribution that statistics can and should make to linguistic studies. The range of work to which statistical analysis is applicable is vast: including, for example, language acquisition, language variation and many aspects of applied linguistics. The authors give a wide variety of linguistic examples to demonstrate the use of statistics in summarising data in the most appropriate way, and then making helpful inferences from the processed information. The range of techniques introduced by the book will help the reader both to evaluate and make use of literature which employs statistical analysis, and to apply statistics in their own research.
In Edgar Allan Poe's "The Tell-Tale Heart," the mad narrator explains in detail how he kills the old man, who screams as he dies. After being alerted by a neighbor, the police arrive, and the madman gives them a tour through the house, finally halting in the old man's bedroom, where he has buried the man beneath the floor planks under the bed. As he is talking, the narrator hears what he thinks is the old man's heart beating loudly, and he is driven to confess the murder.
Featuring contributions from leading scholars in the field, The Handbook of Narrative Analysis is the first comprehensive collection of sociolinguistic scholarship on narrative analysis to be published.
