Proof and Computation

Digitization in Mathematics, Computer Science and Philosophy

Nonfiction, Science & Nature, Mathematics, Logic, Computers, Advanced Computing, Computer Science, General Computing
Cover of the book Proof and Computation by Klaus Mainzer, Peter Schuster, Helmut Schwichtenberg;;, World Scientific Publishing Company
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Author: Klaus Mainzer, Peter Schuster, Helmut Schwichtenberg;; ISBN: 9789813270954
Publisher: World Scientific Publishing Company Publication: May 30, 2018
Imprint: WSPC Language: English
Author: Klaus Mainzer, Peter Schuster, Helmut Schwichtenberg;;
ISBN: 9789813270954
Publisher: World Scientific Publishing Company
Publication: May 30, 2018
Imprint: WSPC
Language: English

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.

Contents:

  • Proof and Computation (K Mainzer)
  • Constructive Convex Programming (J Berger and G Svindland)
  • Exploring Predicativity (L Crosilla)
  • Constructive Functional Analysis: An Introduction (H Ishihara)
  • Program Extraction (K Miyamoto)
  • The Data Structures of the Lambda Terms (M Sato)
  • Provable (and Unprovable) Computability (S Wainer)
  • Introduction to Minlog (F Wiesnet)

Readership: Graduate students, researchers, and professionals in Mathematics and Computer Science.
Key Features:

  • This book gathers recent contributions of distinguished experts
  • It makes emerging fields accessible to a wider audience, appealing to a broad readership with diverse backgrounds
  • It fills a gap between (under-)graduate level textbooks and state-of-the-art research papers
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Graduate students, researchers, and professionals in Mathematics and Computer Science.
Key Features:

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