TAILIEUCHUNG - Dynamical Theories of Brownian Motion

The justification of some of the practices of the reform, such as the emphasis on real world applications (with its corollary of de-emphasizing abstraction) and the slighting of technical skills, is sometimes laid at the doorstep of cognitive psychology, which purportedly shows that knowledge cannot be decomposed or decontextualized for the purpose of instruction. However, three cognitive psychologists, . Anderson, . Reder and . Simon, have recently challenged such applications of psychology to mathematics education ([AND1], summarized in [AND2]; see also [STO] for a historical perspective). They refute the thesis that “cognition cannot be analyzed into components” and argue instead that “component skills are required in learning”. . | Dynamical Theories of Brownian Motion second edition by Edward Nelson Department of Mathematics Princeton University Copyright 1967 by Princeton University Press. All rights reserved. Second edition August 2001. Posted on the Web at http nelson Preface to the Second Edition On July 2 2001 I received an email from Jun Suzuki a recent graduate in theoretical physics from the University of Tokyo. It contained a request to reprint Dynamical Theories of Brownian Motion which was first published by Princeton University Press in 1967 and was now out of print. Then came the extraordinary statement In our seminar we found misprints in the book and I typed the book as a TeX file with modifications. One does not receive such messages often in one s lifetime. So it is thanks to Mr. Suzuki that this edition appears. I modified his file taking the opportunity to correct my youthful English and make minor changes in notation. But there are no substantive changes from the first edition. My hearty thanks also go to Princeton University Press for permission to post this volume on the Web. Together with all mathematics books in the Annals Studies and Mathematical Notes series it will also be republished in book form by the Press. Fine Hall August 25 .

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