[PDF.39wi] Foundations of Analysis Over Surreal Number Fields

Foundations of Analysis Over Surreal Number Fields

[PDF.gj51] Foundations of Analysis Over Surreal Number Fields

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 | #5610379 in Books |  2012-04-27 | Original language:English |  9.50 x.88 x6.50l, | File type: PDF | 390 pages

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In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions o...

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