Functional Analysis: Applications in Mechanics and Inverse Problems: 100 (Solid Mechanics and Its Applications, 100) - Tapa blanda

Reseña del editor

This book started its life as a series of lectures given by the second author from the 1970’s onwards to students in their third and fourth years in the Department of Mechanics and Mathematics at Rostov State University. For these lectures there was also an audience of engineers and applied mechanicists who wished to understand the functional analysis used in contemporary research in their fields. These people were not so much interested in functional analysis itself as in its applications; they did not want to be told about functional analysis in its most abstract form, but wanted a guided tour through those parts of the analysis needed for their applications. The lecture notes evolved over the years as the first author started to make more formal typewritten versions incorporating new material. About 1990 the first author prepared an English version and submitted it to Kluwer Academic Publishers for inclusion in the series Solid Mechanics and its Applications. At that state the notes were divided into three long chapters covering linear and nonlinear analysis. As Series Editor, the third author started to edit them. The requirements of lecture notes and books are vastly different. A book has to be complete (in some sense), self contained, and able to be read without the help of an instructor.

Reseña del editor

This is a book for people who want to use functional analysis to justify approximate methods in Mechanics and Inverse Problems. It provides such researchers with the tools they need without having to assimilate or skip through concepts they do not need. For the applied mathematician, the essential difficulty attending the study of functional analysis is that the pure mathematicians who have developed the field have carried the process of abstraction, which is the essence of functional analysis, to increasingly higher levels. In this book, the authors have kept the level of abstraction high enough for the majority of applications, and have resisted the temptation to abstract to the limit.

The book can be used for a lecture course or for self study; there are exercises throughout, and references for further study.

This new edition corrects a number of typographical and logical errors in the first edition.