Michael Rathjen (76 results)

fester Einband. Opbd, Umschlag, 455 Seiten, 455 Seiten, 22 x 26 cm, mit den Originalillustrationen von E.W. Kemple 1806 gr.

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Taschenbuch. Condition: Neu. The Legacy of Kurt Schütte | Reinhard Kahle (u. a.) | Taschenbuch | xix | Englisch | 2021 | Springer | EAN 9783030494261 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book on proof theory centers around the legacy of Kurt Schütte and its current impact on thesubject. Schütte was the last doctoral student of David Hilbert who was the first to see that proofscan be viewed as structured mathematical objects amenable to investigation by mathematical methods (metamathematics). Schütte inaugurated the important paradigm shift from finite proofs toinfinite proofs and developed the mathematical tools for their analysis. Infinitary proof theoryflourished in his hands in the 1960s, culminating in the famous bound 0for the limit of predicativemathematics (a fame shared with Feferman). Later his interests shifted to developing infinite proofcalculi for impredicative theories. Schütte had a keen interest in advancing ordinal analysis to everstronger theories and was still working on some of the strongest systems in his eighties. The articlesin this volume from leading experts closeto his research, show the enduring influence of his work inmodern proof theory. They range from eye witness accounts of his scientific life to developments atthe current research frontier, including papers by Schütte himself that have never been publishedbefore.…

Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book on proof theory centers around the legacy of Kurt Schütte and its current impact on thesubject. Schütte was the last doctoral student of David Hilbert who was the first to see that proofscan be viewed as structured mathematical objects amenable to investigation by mathematical methods (metamathematics). Schütte inaugurated the important paradigm shift from finite proofs toinfinite proofs and developed the mathematical tools for their analysis. Infinitary proof theoryflourished in his hands in the 1960s, culminating in the famous bound 0for the limit of predicativemathematics (a fame shared with Feferman). Later his interests shifted to developing infinite proofcalculi for impredicative theories. Schütte had a keen interest in advancing ordinal analysis to everstronger theories and was still working on some of the strongest systems in his eighties. The articlesin this volume from leading experts closeto his research, show the enduring influence of his work inmodern proof theory. They range from eye witness accounts of his scientific life to developments atthe current research frontier, including papers by Schütte himself that have never been publishedbefore.…

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Condition: New. 1st ed. 2020 edition NO-PA16APR2015-KAP.

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Paperback. Condition: Brand New. 521 pages. 9.25x6.10x1.18 inches. In Stock.

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Hardcover. Condition: Brand New. 521 pages. 9.25x6.10x1.34 inches. In Stock.

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Hardback. Condition: New. The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not.Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency.Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory.The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions.…

Taschenbuch. Condition: Neu. Gentzen's Centenary | The Quest for Consistency | Reinhard Kahle (u. a.) | Taschenbuch | x | Englisch | 2015 | Springer | EAN 9783319101026 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

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Hardcover. Condition: Brand New. 600 pages. 9.00x6.00x1.06 inches. In Stock.

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Gerhard Gentzen has been described as logic's lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen's enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen's original consistency proofs to the most recent developments in proof theory. Gentzen founded modern proof theory. His sequent calculus and natural deduction system beautifully explain the deep symmetries of logic. They underlie modern developments in computer science such as automated theorem proving and type theory.…

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