This volume consists of selected and revised papers from the Seventh International Morphology Meeting, held in 1996 in Vienna. It presents advances in morphological theorizing, such as the foundations of sign-based morphology, the morphology-syntax interface, the boundaries between compounding and derivation, derivation and inflection, and the emergence of morphology from premorphological precursors in early first-language acquisition. The contributions deal with morphological analyses in various fields of the ever-widening domain of morphology and its relevance to the lexicon. The comparative aspect is reflected in the above-mentioned areas, and through the variety of languages investigated: Indo-European and non-Indo-European languages of Europe, and Asian, African and American languages. This breadth allows valuable insights into current problems of morphological research in America, Western and Eastern Europe.

In spite of the central position that the concept word has among the basic units of language structure, there is no consensus as to the definition of this concept (or network of related concepts). Many perspectives are needed in order to gain even a schematic idea of what words are, how words may be composed, and what relationships there might be between words. Many linguists have put forward frameworks for describing the domain of morphology, each framework proceeding from its author's assumptions, prioritizing distinct formal and functional dimensions, and therefore entering into de facto competition. This book addresses the needs of the language scholar/student who finds her/himself engaged in morphological analysis and theorizing. It offers a guide to existing approaches, revealing how they can either complement or compete with each other.

The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets. "Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology. Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.

The first section of volume II deals with both theory and methods of morphological analysis, it then discusses data analysis, and finally, the applications.

This book is one in a series dedicated to fine particle science and technology. Topics covered in the book include the role of definitions, concepts, hypothesis, and laws; morphological analysis of fine particles and surfaces; analytical three-dimensional representations of particle and surface morphologies; the problem of invariance with respect to rotational transformations, as well as transformations characterized by reflection and inversion; matrix mechanics of particle characterization; and general applications of morphological analysis in other areas of science.