Описание: With a balanced combination of longer survey articles and shorter, peer-reviewed research-level presentations on the topic of differential and difference equations on the complex domain, this edited volume presents an up-to-date overview of areas such as WKB analysis, summability, resurgence, formal solutions, integrability, and several algebraic aspects of differential and difference equations.
Автор: Maurice de Gosson Название: Jean Leray `99 Conference Proceedings ISBN: 9048163161 ISBN-13(EAN): 9789048163168 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: JeanVaillant L'oeuvre de Jean Leray est originale et profonde; ses th or mes et ses th ories sont au coeur des recherches math matiques actuelles: la beaut de chacun de ses travaux ne se divise pas. Son cours de Princeton, sous forme de notes en anglais (et d'une traduction en russe) en est une belle illustration: ce cours pr sente les quations aux d riv es partielles partir de la transformation de Laplace et du th or me de Cauchy-Kowaleska et contient l'essentiel de nombreusesrecherchesmodernes. Lerayavaitpourbutder soudreunprobl me, souvent d'origine m canique ou physique - qui se pose, et non qu'on se pose -, de d montrer un th or me; il construit alors son oeuvre de fa on compl te et essentiellement intrins que. En fait, Leray construit une th orie dont l'extension tient son origine naturelle, l'acuit , la perfection, la profondeur d'esprit de son auteur;enm metempsildominelescalculs, qu'ilm neavecplaisiret l gance: Il n'y a pas de math matiques sans calculs disait-il. La science tait au centre de la vie de Jean Leray. Il s'inqui tait de sa sauvegarde. Rappelons quelques phrases de ses textes de 1974: D'ailleurs la science ne s'apprend pas: elle se comprend. Elle n'est pas lettre morte et les livres n'assurent pas sa p rennit ; elle est une pens e vivante. Pour la ma triser notre esprit doit, habilement guid , la red couvrir de m me que notre corps d revivre dans le sein mat- nel, toute l' volution qui cr a notre esp ce. Aussi n'y a-t-il qu'une fa on ef?cace d'enseigner les sciences et les techniques: transmettre l'esprit de recherche.
Описание: The Fifth European Conference on Industrial Mathematics (ECMI 90) took place at Lahti, Finland on June 6-9, 1990. The conference was organised by the Rolf Nevanlinna Institute together with the Lahti Research and Training Centre of the University of Helsinki. Like its predecessors the Lahti meeting was devoted to the exchange of experience, ideas and methods from various fields of industrial mathematics. The series of ECMI conferences have clearly established an important forum of interaction between the advancing front of technology and one of its crucial development resources, modern applications-oriented mathematics. The precise title of the conferences has been the subject of some discussion and it has been argued that there is no such area which can be labelled as "industrial mathematics." This is certainly true if one thinks only in terms of the range of ideas, theorems, methods and algorithms constituting mathematics all of which may be applied. However with another viewpoint industrial mathematics is not a collection of topics but refers to the interactive process in which mathematics, the science, meets the real world of applications. Ideally this interaction involves both good mathematics and technological advance. The computer revolution has created a new era in technology with the increased computational capability to simulate complex industrial processes, devices, and other technolog- making it possible ical systems. This simulation depends on mathematical modelling and analysis and these techniques, sometimes ingenious but often quite routine, have provided a powerful tool for industrial scientists and creative research management.
Описание: This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. The contributions are presented with a remarkable expository nature and this makes the discussed topics accessible to a more general audience.
Описание: This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to researchers.
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