书目

Catastrophe Theory and Its Applications

内容简介

ThisfirstintegratedtreatmentofthemainideasbehindRenéThom'stheoryofcatastrophesaimstomakethemaccessibletoscientistswishingtoapplythetheoryintheirownfieldsofresearch.Themathematicalbasisofthetheoryisthereforeexplainedwithaminimumoftechnicalities,althoughsomeknowledgeofthecalculusofvariablesisassumed.
Thom'snow-famouslistofsevenelementarycatastrophes,broadlyclassifyingvarioustypesofdiscontinuouschange,iselucidated,asarethereasonsforitsappearance.Nearlyhalfthebookconcentratesondetailedapplicationsofthetheory,emphasizingitsusesinthephysicalscienceswhereapplicationscanbemadequantitativeandcanbeexperimentallyverified.Themorecontroversialandspeculativeapplicationstoareasinthesocialsciencesarealsomentioned,butnotdiscussedindetail.
Over200illustrationshelpclarifytheideasandapplicationsinthisvolume,whichwillbeofinteresttoresearchersandpostgraduatestudentsinsuchdiversedisciplinesasengineering,mathematics,physics,andbiology.1978edition.Bibliography.

丛书

Dover Books on Mathematics

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