Calculus of Variations

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作者I. M. Gelfand 著

出版社Dover Publications

出版时间2000-10

版次1

装帧平装

货号73～363

上书时间2024-06-09

已实名已认证进店收藏店铺

【内容简介】: BasedonaseriesoflecturesgivenbyI.M.GelfandatMoscowStateUniversity,thisbookactuallygoesconsiderablybeyondthematerialpresentedinthelectures.Theaimistogiveatreatmentoftheelementsofthecalculusofvariationsinaformbotheasilyunderstandableandsufficientlymodern.Considerableattentionisdevotedtophysicalapplicationsofvariationalmethods,e.g.,canonicalequations,variationalprinciplesofmechanics,andconservationlaws.
Thereaderwhomerelywishestobecomefamiliarwiththemostbasicconceptsandmethodsofthecalculusofvariationsneedonlystudythefirstchapter.Studentswishingamoreextensivetreatment,however,willfindthefirstsixchapterscompriseacompleteuniversity-levelcourseinthesubject,includingthetheoryoffieldsandsufficientconditionsforweakandstrongextrema.Chapter7considerstheapplicationofvariationalmethodstothestudyofsystemswithinfinitedegreesoffreedom,andChapter8dealswithdirectmethodsinthecalculusofvariations.TheproblemsfollowingeachchapterweremadespeciallyforthisEnglish-languageedition,andmanyofthemcommentfurtheroncorrespondingpartsofthetext.Twoappendicesandsuggestionsforsupplementaryreadingroundoutthetext.
Substantiallyrevisedandcorrectedbythetranslator,thisinexpensiveneweditionwillbewelcomedbyadvancedundergraduateandgraduatestudentsofmathematicsandphysics.

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