Proof and computation: digitization in mathematics, computer science, and philosophy
by Mainzer, Klaus Schuster, Peter Schwichtenberg, Helmut
"This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. By filling the gap between (under- )graduate level textbooks and advanced research papers, the book gives a schola…
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- Full title :Proof and computation : digitization in mathematics, computer science, and philosophy / editors, Klaus Mainzer (Technische Universität München, Germany), Peter Schuster (Università degli Studi di Verona, Italy), Helmut Schwichtenberg (Ludwig-Maximilians-Universität München, Germany).
Summary
"This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. By filling the gap between (under- )graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields."--Publisher's website
Read More ↓Edition Statements
- Publication Date:2018
Publication Statements
- Publisher(s):World Scientific Publishing Co Pte Ltd
- Place of Publication:Singapore
- Language:eng
- Publication Date:2018
The Physical Object
- Description:1 online resource (viii, 291 pages) : : illustrations
Edition Identifiers
- ISBN:9789813270947, 9813270942, 9789813270954, 9813270950
- oclc:on1038470857
- LC Classification:QA76.95
- Dewey Decimal:004.01/51
Table of Contents
Proof and computation / Klaus Mainzer -- Constructive convex programming / Josef Berger and Gregor Svindland -- Exploring predicativity / Laura Crosilla -- Constructive functional analysis : an introduction / Hajime Ishihara -- Program extraction / Kenji Miyamoto -- The data structures of the lambda terms / Masahiko Sato -- Provable (and unprovable) computability / Stanley S. Wainer -- Introduction to Minlog / Franziskus Wiesnet.
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