Simple Theories: 503 (Mathematics and Its Applications, 503) - Softcover

Wagner, Frank O.

Softcover

ISBN 10: 9048154170 ISBN 13: 9789048154173

Publisher: Springer, 2010

Synopsis

Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism. Following Kim's proof of `forking symmetry' which implies a good behaviour of model-theoretic independence, this area of model theory has been a field of intense study. It has necessitated the development of some important new tools, most notably the model-theoretic treatment of hyperimaginaries (classes modulo type-definable equivalence relations). It thus provides a general notion of independence (and of rank in the supersimple case) applicable to a wide class of algebraic structures.
The basic theory of forking independence is developed, and its properties in a simple structure are analyzed. No prior knowledge of stability theory is assumed; in fact many stability-theoretic results follow either from more general propositions, or are developed in side remarks.
Audience: This book is intended both as an introduction to simplicity theory accessible to graduate students with some knowledge of model theory, and as a reference work for research in the field.

About this title

Review

This book is probably the most informative and highly helpful work on the subject of structural aspects of composites, and merits an honored place in the study of every student and researcher associated with composites. Practicing composite structures engineers dealing with composites cannot fail to find much of interest and motivate them in this volume. It demands a place in their libraries. Indeed a worthwhile investment that continues the level of excellence associated with the earlier edition. – Current Engineering Practice, vol. 47, 2004.

About the Author

Dr. Vinson is the H. Fletcher Brown Professor of Mechanical and Aerospace Engineering at the University of Delaware. In 1977 he received the ONR-AIAA Structural Mechanics Award for his research in composite materials, and in 1981 he was awarded an ASME Centennial Award. He is active as a consultant to government and industry. He recently received a Fellowship from the Japan Society for the Promotion of Science for 1985. He has been Chairman of the American Organizing Committee for the Japan-United States Conferences on Composite Materials three times (1981, 1983 and 1986). Dr. Sierakowski is Professor and Chairman of the Civil Engineering Department at the Ohio State University. He has held many academic and industrial posts in the United States and has been a National Research Council Senior Research Fellow, a consultant to Air Force Laboratories, and a Visiting Professor at the Air Force Office of Scientific Research.

Edition details

• Publisher: Springer
• Publication date: 2010
• Language: English
• ISBN 10: 9048154170
• ISBN 13: 9789048154173
• Binding: Paperback
• Number of pages: 273