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Analysis with Ultrasmall Numbers (Textbooks in Mathematics)

Karel Hrbacek, Olivier Lessmann, Richard O'Donovan




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 | #2347342 in Books |  2014-12-01 | Original language:English | PDF # 1 |  1.00 x6.30 x9.00l,.0 | File type: PDF | 316 pages

||0 of 0 people found the following review helpful.| Three Stars|By changyau|This book is not bad, but Infinitesimal Calculus(Dover) is better.| ||"This book presents an alternative approach to differential and integral calculus of functions of one variable. … For readers familiar with the classical methods of mathematical analysis, this book can provide an interesting alternative view."|―Ze

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 Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum ...

You can specify the type of files you want, for your device.Analysis with Ultrasmall Numbers (Textbooks in Mathematics)   |  Karel Hrbacek, Olivier Lessmann, Richard O'Donovan.Not only was the story interesting, engaging and relatable, it also teaches lessons.

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