General Mathematics

    

Extending du Bois-Reymond’s Infinitesimal and Infinitary Calculus Theory Part 1 Gossamer Numbers

Authors: Chelton D. Evans, William K. Pattinson

The discovery of what we call the gossamer number system ∗G, as an extension of the real numbers includes an infinitesimal and infinitary number system; by using ‘infinite integers’, an isomorphic construction to the reals by solving algebraic equations is given. We believe this is a total ordered field. This could be an equivalent construction of the hyperreals. The continuum is partitioned: 0 < Φ+ < R+ + Φ < +Φ−1 < ∞.

Comments: 22 Pages.

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Submission history

[v1] 2015-02-15 07:47:37
[v2] 2015-04-06 11:32:09

Unique-IP document downloads: 399 times

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