Elementary Analysis 2nd：The Theory of Calculus
- 作者
- 出版社 Springer
- 出版时间 2013年5月
- ISBN 9781461462705
- 定价 871.10
内容简介
Foroverthreedecades，thisbest-sellingclassichasbeenusedbythousandsofstudentsintheUnitedStatesandabroadasamust-havetextbookforatransitionalcoursefromcalculustoanalysis.Ithasproventobeveryusefulformathematicsmajorswhohavenopreviousexperiencewithrigorousproofs.Itsfriendlystyleunlocksthemysteryofwritingproofs，whilecarefullyexaminingthetheoreticalbasisforcalculus.Proofsaregiveninfull，andthelargenumberofwell-chosenexamplesandexercisesrangefromroutinetochallenging.Thesecondeditionpreservesthebooksclearandconcisestyle，illuminatingdiscussions，andsimple，well-motivatedproofs.Newtopicsincludematerialontheirrationalityofpi，theBairecategorytheorem，Newton'smethodandthesecantmethod，andcontinuousnowhere-differentiablefunctions.Reviewfromthefirstedition："Thisbookisintendedforthestudentwhohasagood，butnaïve，understandingofelementarycalculusandnowwishestogainathoroughunderstandingofafewbasicconceptsinanalysis....Theauthorhastriedtowriteinaninformalbutprecisestyle，stressingmotivationandmethodsofproof，and...hassucceededadmirably."MATHEMATICALREVIEWS
丛书
Undergraduate Texts in Mathematics— END —