From the reviews of the second edition "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The...
From the reviews of the second edition "The new methods of complex manifold theory are very useful tools for investigations in algebraic geomet...
The development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be observed L. van der Waerden's elimination of the "elimination theory" chapter from from B. his classic Modern Algebra in later editions, A. Weil's hope to eliminate "from algebraic geometry the last traces of elimination theory," and S. Abhyankar's sug gestion to "eliminate the eliminators of elimination theory. " The renaissance and recognition of polynomial elimination owe much to the advent and advance of mod ern computing technology, based...
The development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be ...
There seems to be no doubt that geometry originates from such practical activ ities as weather observation and terrain survey. But there are different manners, methods, and ways to raise the various experiences to the level of theory so that they finally constitute a science. F. Engels said, "The objective of mathematics is the study of space forms and quantitative relations of the real world. " Dur ing the time of the ancient Greeks, there were two different methods dealing with geometry: one, represented by the Euclid's "Elements," purely pursued the logical relations among geometric...
There seems to be no doubt that geometry originates from such practical activ ities as weather observation and terrain survey. But there are different...
Volume 5 of the series "Advances in Research on Neurodegeneration" is concerned with themes which are currently the focus of intensive research, and in which advances in our understanding of the pathological mechanisms un- derlying neurodegenerative diseases are expected in the near future. The first section contains five reviews devoted to the various neuroimaging technolo- gies. The discussion is concerned with the question of whether neuroimaging techniques make it possible to follow the process of degeneration as it occurs, and which methods offer the required sensitivity and...
Volume 5 of the series "Advances in Research on Neurodegeneration" is concerned with themes which are currently the focus of intensive research, and i...
