138,95 €
Versandkostenfrei per Post / DHL
auf Lager, Lieferzeit 1-2 Werktage
In dynamic constructivism, mathematics is seen as the result of a dynamic process of interaction between the construction of mathematical entities, by abstraction and by idealization, and their selection according to their efficiency in applications to reality and in the organisation of mathematics itself.
The crucial benefit of this vision is its independence from dogmas and external authorities. A practical consequence is full respect for the diverse areas of mathematics - mainly computation, spatial intuition, deduction, and abstract axiomatic method - without reducing one to another. As a second consequence, a dynamic interaction between different 'epistemological levels' is always active and present, in the development of mathematics in practice, the study of its foundations and its formalisation in a computer language.
In dynamic constructivism, mathematics is seen as the result of a dynamic process of interaction between the construction of mathematical entities, by abstraction and by idealization, and their selection according to their efficiency in applications to reality and in the organisation of mathematics itself.
The crucial benefit of this vision is its independence from dogmas and external authorities. A practical consequence is full respect for the diverse areas of mathematics - mainly computation, spatial intuition, deduction, and abstract axiomatic method - without reducing one to another. As a second consequence, a dynamic interaction between different 'epistemological levels' is always active and present, in the development of mathematics in practice, the study of its foundations and its formalisation in a computer language.
- Preface
- About This Book
- 1: Dynamic Constructivism: A New Conception of Mathematics
- 2: The Minimalist Foundation: Basic Notions and Tools
- 3: Basic Pairs: Symmetry and Duality in Topology
- 4: Relation-Pairs: Continuity is a Commutative Square
- 5: Concrete Spaces: Benefits of Keeping a Base
- 6: Convergent Relation-Pairs: Towards Topology With Points
- 7: Basic Topologies: Pointfree Topology Without Convergence
- 8: Continuous Relations: Respecting Covers and Positivities
- 9: Positive Topologies and Formal Maps: Pointfree Topology
- 10: Ideal Spaces and Maps: Ideal Aspects Over Real Topology
- 11: Topological Systems: a Place for all Topological Notions
- 12: Overlap Algebras: the Power of a Set as an Algebra
- 13: Overlap Topologies: Putting Topology in Algebraic Terms
- Appendix A: Generating Positivity By Co-induction
- References
- Index
| Erscheinungsjahr: | 2026 |
|---|---|
| Fachbereich: | Topologie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | Gebunden |
| ISBN-13: | 9780199232888 |
| ISBN-10: | 0199232881 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Sambin, Giovanni |
| Hersteller: | Oxford University Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 239 x 161 x 37 mm |
| Von/Mit: | Giovanni Sambin |
| Erscheinungsdatum: | 23.01.2026 |
| Gewicht: | 1,204 kg |
Ähnliche Produkte
Lieferzeit 1-2 Wochen
Aktuell nicht verfügbar
Lieferzeit 4-7 Werktage
Aktuell nicht verfügbar
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 4-7 Werktage