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Analysis with Ultrasmall Numbers
Karel HrbacekOlivier LessmannRichard O'Donovan
出版CRC Press, 2014-12-01
主題Mathematics / GeneralMathematics / Functional AnalysisTechnology & Engineering / Operations ResearchTechnology & Engineering / Environmental / GeneralTechnology & Engineering / Engineering (General)Design / ProductMathematics / Calculus
ISBN149870266X9781498702669
URLhttp://books.google.com.hk/books?id=eLLNBQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Students can fully prove fundamental results, such as the