Picture 1 of 2
Stock photo
Picture 1 of 2
Stock photo
Encyclopedia of Mathematics and Its Applications Ser.: Handbook of Constructive Mathematics by Hajime Ishihara (2023, Hardcover)
loveourprices2 (127684)
92.5% positive feedback
Price:
$184.00
Free shipping
Returns:
60 days returns. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
This handbook gives the most complete overview of modern constructive mathematics, with contributions from leading specialists surveying the subject's myriad aspects. Edited by four of the most eminent experts in the field, this is an indispensable reference for constructive mathematicians and a fascinating vista of modern constructivism for the increasing number of researchers interested in constructive approaches.
- Buy It NowHandbook of Constructive Mathematics (Encyclopedia of Mathematics and its
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherCambridge University Press
ISBN-101316510867
ISBN-139781316510865
eBay Product ID (ePID)5058378218
Product Key Features
Number of Pages800 Pages
LanguageEnglish
Publication NameHandbook of Constructive Mathematics
SubjectGeneral, Logic
Publication Year2023
TypeTextbook
AuthorHajime Ishihara
Subject AreaMathematics
SeriesEncyclopedia of Mathematics and Its Applications Ser.
FormatHardcover
Dimensions
Item Height1.9 in
Item Length9.8 in
Item Width6.9 in
Additional Product Features
Dewey Edition23
IllustratedYes
Dewey Decimal511.3
Table Of ContentPreface Douglas Bridges, Hajime Ishihara, Michael Rathjen and Helmut Schwichtenberg; Part I. Introductory: 1. Introduction to intuitionistic logic Michael Rathjen; 2. Introduction to CZF: an appetizer Michael Rathjen; 3. Bishop's mathematics: a philosophical perspective Laura Crosilla; Part II. Algebra and Geometry: 4. Algebra in Bishop's style: a course in constructive algebra Henri Lombardi; 5. Constructive algebra: the Quillen-Suslin theorem Ihsen Yengui; 6. Constructive algebra and point-free topology Thierry Coquand; 7. Constructive projective geometry Mark Mandelkern; Part III. Analysis: 8. Elements of constructive analysis Hajime Ishihara; 9. Constructive functional analysis Hajime Ishihara; 10. Constructive Banach algebra theory Robin Havea and Douglas Bridges; 11. Constructive convex optimization Josef Berger and Gregor Svindland; 12. Constructive mathematical economics Matthew Hendtlass and Douglas Bridges; 13. Constructive stochastic processes Yuen-Kwok Chan; Part IV. Topology: 14. Bases of pseudocompact Bishop spaces Iosif Petrakis; 15. Bishop metric spaces in formal topology Tatsuji Kawai; 16. Subspaces in point free topology and measure theory Francesco Ciraulo; 17. Synthetic topology Davorin Lesnik; 18. Apartness on lattices and between sets Douglas Bridges; Part V. Logic and Foundations: 19. Countable choice Fred Richman; 20. The Minimalist Foundation and Bishop's constructive mathematics Maria Maietti, Giovanni Sambin; 21. Identity, equality, and extensionality in explicit mathematics Gerhard Jäger; 22. Inner and outer models for constructive set theories Robert Lubarsky; 23. An introduction to constructive reverse mathematics Hajime Ishihara; 24. Systems for constructive reverse mathematics Takako Nemoto; 25. Brouwer's fan theorem Josef Berger; Part VI. Aspects of Computation: 26. Computational aspects of Bishop's constructive mathematics Helmut Schwichtenberg; 27. Application of constructive analysis in exact real arithmetic Kenji Miyamoto; 28. Efficient algorithms from proofs in constructive analysis Mark Bickford; 29. On the computational content of choice principles Ulrich Berger and Monika Seisenberger; Index.
SynopsisConstructive mathematics - mathematics in which 'there exists' always means 'we can construct' - is enjoying a renaissance. fifty years on from Bishop's groundbreaking account of constructive analysis, constructive mathematics has spread out to touch almost all areas of mathematics and to have profound influence in theoretical computer science. This handbook gives the most complete overview of modern constructive mathematics, with contributions from leading specialists surveying the subject's myriad aspects. Major themes include: constructive algebra and geometry, constructive analysis, constructive topology, constructive logic and foundations of mathematics, and computational aspects of constructive mathematics. A series of introductory chapters provides graduate students and other newcomers to the subject with foundations for the surveys that follow. Edited by four of the most eminent experts in the field, this is an indispensable reference for constructive mathematicians and a fascinating vista of modern constructivism for the increasing number of researchers interested in constructive approaches., This handbook gives a complete overview of modern constructive mathematics - mathematics in which 'there exists' always means 'we can construct' - and its applications. Written and edited by leading experts, it is an indispensable reference for established constructive mathematicians and guide to the field for graduate students and other newcomers.
LC Classification NumberQA9.56
All listings for this product
Be the first to write a review
