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From Sets and Types to Topology and Analysis by L Crosilla & P Schuster 2005 HC
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Condition:
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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eBay item number:388112578395
Item specifics
- Condition
- Binding
- Hardcover
- Features
- 1st Edition
- Topic
- Mathematics
- Character Family
- Oxford Press
- Year Printed
- 2005
- Original/Facsimile
- Original
- ISBN
- 9780198566519
About this product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0198566514
ISBN-13
9780198566519
eBay Product ID (ePID)
46825579
Product Key Features
Number of Pages
372 Pages
Language
English
Publication Name
From Sets and Types to Topology and Analysis : Towards Practicable Foundations for Constructive Mathematics
Publication Year
2005
Subject
General, Logic
Type
Textbook
Subject Area
Mathematics
Series
Oxford Logic Guides
Format
Hardcover
Dimensions
Item Height
1 in
Item Weight
24.4 Oz
Item Length
9.5 in
Item Width
6.4 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2006-296109
Dewey Edition
22
Series Volume Number
48
Illustrated
Yes
Dewey Decimal
511.36
Table Of Content
IntroductionErrett Bishop1. Generalized Inductive Definitions in Constructive Set Theory2. Constructive Set Theories and their Category-theoretic Models3. Presheaf models for Constructive Set Theories4. Universes in Toposes5. Toward a minimalistic foundation for constructive mathematics6. Interactive Programs and Weakly Final Coalgebras in Dependent Type Theory7. Applications of inductive definitions and choice principles to program synthesis8. The duality of lcassical and constructive notions and proofs9. Continuity on the real line and in formal spaces10. Separation Properties in Constructive Topology11. Spaces as comonoids12. Predicative exponentiation of locally compact formal topologies over inductively generated ones13. Some constructive roads to Tychonoff14. An elementary characterisation of Krull dimension15. Constructive reverse mathematics: compactness properties16. Approximating integrable sets by compacts constructively17. An introduction to the theory of c*-algegras in constructive mathematics18. Approximations to the numerical range of an element of a Banach algebra19. The constructive uniqueness of the locally convex topology on rn20. Computability on Non-Separable Banach Spaces and Landau's Theorem
Synopsis
This edited collection bridges the foundations and practice of constructive mathematics. Aimed at academic logicians, mathematicians, philosophers and computer scientists. Including, with contributions from leading researchers, it is up-to-date, highly topical and broad in scope., This edited collection bridges the foundations and practice of constructive mathematics and focusses on the contrast between the theoretical developments, which have been most useful for computer science (eg constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. Aimed at academic logicians, mathematicians, philosophers and computer scientists Including, with contributions from leading researchers, it is up-to-date, highly topical and broad in scope. This is the latest volume in the Oxford Logic Guides, which also includes: 41. J.M. Dunn and G. Hardegree: Algebraic Methods in Philosophical Logic 42. H. Rott: Change, Choice and Inference: A study of belief revision and nonmonotoic reasoning 43. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 1 44. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 2 45. David J. Pym and Eike Ritter: Reductive Logic and Proof Search: Proof theory, semantics and control 46. D.M. Gabbay and L. Maksimova: Interpolation and Definability: Modal and Intuitionistic Logics 47. John L. Bell: Set Theory: Boolean-valued models and independence proofs, third edition, This edited collection bridges the foundations and practice of constructive mathematics and focusses on the contrast between the theoretical developments, which have been most useful for computer science (eg constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. Aimed at academic logicians, mathematicians, philosophers and computer scientists Including, with contributions from leading researchers, it is up-to-date, highly topical and broad in scope.This is the latest volume in the Oxford Logic Guides, which also includes: 41. J.M. Dunn and G. Hardegree: Algebraic Methods in Philosophical Logic42. H. Rott: Change, Choice and Inference: A study of belief revision and nonmonotoic reasoning43. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 144. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 245. David J. Pym and Eike Ritter: Reductive Logic and Proof Search: Proof theory, semantics and control46. D.M. Gabbay and L. Maksimova: Interpolation and Definability: Modal and Intuitionistic Logics47. John L. Bell: Set Theory: Boolean-valued models and independence proofs, third edition, This edited collection bridges the foundations and practice of constructive mathematics and focuses on the contrast between the theoretical developments, which have been most useful for computer science (ie: constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. Aimed at academic logician, mathematicians, philosophers and computer scientists with contributions from leading researchers, it is up to date, highly topical and broad in scope.
LC Classification Number
QA9.56
Item description from the seller
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