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The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools i...
Reflecting the contributions of M. Brewster Smith to social psychology and personality study, this selection includes not only his best known essays but also previously unpublished material. Professor Smith's consistent striving for a psychology both scientific and humane unifies the collection; it is a valid and valuable overview of the relevance of social psychology to human experience and societal problems by a man at the midstream of his career.An introductory essay traces the major themes in Professor Smith's work. Part I discusses the interdisciplinary relations of social psychology with other behavioral sciences; it shows that social psychology, standing at the crossroads of the socia...
Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. To this end, the first chapter is a review of the relevant basics of Riemannian geometry. For the benefit of the student, the text includes a number of exercises of varying difficulty. The book also provides brief introductions to some general methods of geometric analysis and other geometric flows. Comparisons are made between the Ricci flow and the linear heat equation, mean curvature flow, and other geometric evolution equations whenever possible. Several topics of Hamilton's program are covered, such as short time existence, Harnack inequalities, Ricci solitons, Perelman's no local collapsing theorem, singularity analysis, and ancient solutions. A major direction in Ricci flow, via Hamilton's and Perelman's works, is the use of Ricci flow as an approach to solving the Poincaré conjecture and Thurston's geometrization conjecture.
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Research with the Locus of Control Construct, Volume 1: Assessment Methods was created to serve two purposes. The first is to fill the researcher's need for information about the application of appropriate locus of control scales to their particular purposes or samples. It presents a variety of locus of control scales and describes the relevant research and applications. The second purpose for this book involves the general field of personality psychology. Often personality constructs emerge, occupy center stage for the better part of a decade, and then almost silently disappear from view. By contrast, the locus of control construct has occupied a central position in personality research for...