Additive Number Theory: Inverse Problems and the Geometry of Sumsets
Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A.
The Sound Structure of English provides an introduction to English phonetics and phonology. Tailored to suit the needs of individual, it assumes no prior knowledge of the subject, and presents the basic facts in a straightforward manner, making it the ideal text for beginners. Students are guided step-by-step through the main concepts and techniques of phonetic and phonological analysis,..
This book focuses on the linguistic representation of temporality in the verbal domain and its interaction with the syntax and semantics of verbs, arguments, and modifiers. Leading scholars explore the division of labour between syntax, compositional semantics, and lexical semantics in the encoding of event structure, encompassing event participants and the temporal properties associated with events.
This book reviews current theories of the sound-structure of words and syllables. Dr. Coleman presents technical arguments showing that the contemporary theories are too complex and that a simpler theory, Declarative Phonology, is adequate. This theory is exemplified with detailed accounts of the sound-structure of words and syllables in English and Japanese.
This handbook treats essential matters of grammar, diction, spelling, mechanics; and develops with thoroughness the principles of sentence structure. Larger units of composition it leaves to the texts in formal rhetoric.
