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Noam Greenberg - Effective Mathematics of the Uncountable - 9781107014510 - V9781107014510
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Effective Mathematics of the Uncountable

€ 127.12
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Description for Effective Mathematics of the Uncountable hardcover. A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains. Editor(s): Greenberg, Noam; Hirschfeldt, Denis; Hamkins, Joel David; Miller, Russell. Series: Lecture Notes in Logic. Num Pages: 204 pages. BIC Classification: PBCD; UYA. Category: (P) Professional & Vocational. Dimension: 236 x 151 x 16. Weight in Grams: 438.
Classical computable model theory is most naturally concerned with countable domains. There are, however, several methods – some old, some new – that have extended its basic concepts to uncountable structures. Unlike in the classical case, however, no single dominant approach has emerged, and different methods reveal different aspects of the computable content of uncountable mathematics. This book contains introductions to eight major approaches to computable uncountable mathematics: descriptive set theory; infinite time Turing machines; Blum-Shub-Smale computability; Sigma-definability; computability theory on admissible ordinals; E-recursion theory; local computability; and uncountable reverse mathematics. This book provides an authoritative and multifaceted introduction to ... Read more

Product Details

Format
Hardback
Publication date
2013
Publisher
Cambridge University Press United Kingdom
Number of pages
205
Condition
New
Series
Lecture Notes in Logic
Number of Pages
204
Place of Publication
Cambridge, United Kingdom
ISBN
9781107014510
SKU
V9781107014510
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-24

About Noam Greenberg
Noam Greenberg is a Rutherford Discovery Fellow of the Royal Society of New Zealand where his research interests include computability theory, algorithmic randomness, reverse mathematics, higher recursion theory, computable model theory and set theory. Denis Hirschfeldt is a Professor of Mathematics at the University of Chicago and has previously held visiting positions at the University of Wisconsin, Madison and the ... Read more

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