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Analysis with Ultrasmall Numbers (Textbooks in Mathematics) by Karel Hrbacek,Olivier Lessmann,Richard O'Donovan

By Karel Hrbacek,Olivier Lessmann,Richard O'Donovan

Analysis with Ultrasmall Numbers offers an intuitive remedy of arithmetic utilizing ultrasmall numbers. With this contemporary method of infinitesimals, proofs develop into less complicated and extra curious about the combinatorial center of arguments, not like conventional remedies that use epsilon–delta equipment. scholars can absolutely turn out basic effects, corresponding to the extraordinary worth Theorem, from the axioms instantly, without having to grasp notions of supremum or compactness.



The e-book is appropriate for a calculus path on the undergraduate or highschool point or for self-study with an emphasis on nonstandard equipment. the 1st a part of the textual content deals fabric for an simple calculus direction whereas the second one half covers extra complex calculus issues.



The textual content offers easy definitions of uncomplicated techniques, allowing scholars to shape stable instinct and really turn out issues by means of themselves. It doesn't require any extra "black containers" as soon as the preliminary axioms were offered. The textual content additionally comprises quite a few workouts all through and on the finish of every chapter.

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