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Foundations of Analysis Over Surreal Number Fields

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Author(s): Norman L. Alling (Eds.)
Series: North-Holland Mathematics Studies 141
Publisher: Elsevier, Academic Press
Year: 1987

Language: English
Pages: iii-x, 1-373

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages vii-x
Norman L. Alling

Chapter 0 Introduction
Pages 1-11

Chapter 1 Preliminaries
Pages 13-84

Chapter 2 The ξ-Topology
Pages 85-108

Chapter 3 The ξ-Topology on Affine n-Space
Pages 109-116

Chapter 4 Introduction to the Surreal Number Field No
Pages 117-190

Chapter 5 The Surreal Fields ξNo, and Related Topics
Pages 191-205

Chapter 6 The Valuation Theory of Ordered Fields, Applied to No and ξNo
Pages 207-253

Chapter 7 Power Series: Formal and Hyper-Convergent
Pages 255-331

Chapter 8 A Primer on Analytic Functions of a Surreal Variable
Pages 333-351

Bibliography
Pages 353-358

Index
Pages 359-373