Calculus of Variations

Calculus of Variations
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作者:
出版社: Dover Publications
2000-10
版次: 1
ISBN: 9780486414485
定价: 88.40
装帧: 平装
开本: 其他
纸张: 胶版纸
页数: 240页
正文语种: 英语
  • 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.
  • 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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