Calculus of Variations

图书标准信息

• 作者 I. M. Gelfand 著
• 出版社 Dover Publications
• 出版时间 2000-10
• 版次 1
• ISBN 9780486414485
• 定价 88.40元
• 装帧 平装
• 开本 其他
• 纸张 胶版纸
• 页数 240页
• 正文语种 英语
• 丛书 Dover Books on Mathematics

【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.