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Download the fantastic book titled Foundations of Analysis over Surreal Number Fields written by N.L. Alling, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Foundations of Analysis over Surreal Number Fields", which was released on 01 April 1987. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.

Summary of Foundations of Analysis over Surreal Number Fields by N.L. Alling PDF

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 of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given. Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand.

Foundations of Analysis over Surreal Number Fields

Detail About Foundations of Analysis over Surreal Number Fields PDF

  • Author : N.L. Alling
  • Publisher : Elsevier
  • Genre : Mathematics
  • Total Pages : 372 pages
  • ISBN : 9780080872520
  • PDF File Size : 12,6 Mb
  • Language : English
  • Rating : 4/5 from 21 reviews

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Foundations of Analysis over Surreal Number Fields

Foundations of Analysis over Surreal Number Fields
  • Publisher : Elsevier
  • File Size : 48,9 Mb
  • Release Date : 01 April 1987
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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

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