A Development of a Functional Calculus of the First Order PDF Download

Author: Stephen Wampler Custer
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 136

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Author: Geoffrey Bourton Keene
Publisher:
ISBN:
Category :
Languages : en
Pages : 82

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Author: Geoffrey Bourton Keene
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 92

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Author: Geoffrey Bourton Keene
Publisher: Routledge/Thoemms Press
ISBN: 9780710038050
Category : First-order logic
Languages : en
Pages : 0

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Author: Ruth Charlotte Barcan
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 16

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Author: Roy Adler
Publisher:
ISBN:
Category :
Languages : en
Pages : 31

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Author: Alonzo Church
Publisher: Princeton University Press
ISBN: 1400881455
Category : Mathematics
Languages : en
Pages : 392

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Book Description
Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979 At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.

Author: Joan Roselló
Publisher: Cambridge Scholars Publishing
ISBN: 152752762X
Category : Mathematics
Languages : en
Pages : 295

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David Hilbert is one of the outstanding mathematicians of the twentieth century and probably the most influential. This book highlights Hilbert’s contributions to mathematics, putting them in their historical, social and cultural context. In doing so, particular attention is paid to Hilbert’s axiomatic method and his proposal for the foundations of mathematics, the so-called Hilbert’s program. The book also discusses the development of algebraic number theory, the theory of integral equations, modern algebra and the structural image of mathematics. In addition, it considers the famous list of Mathematical Problems presented in Paris in 1900, the mathematical tradition of the University of Göttingen, the great debate on the foundations of mathematics in the twenties between formalists and intuitionists, and, finally, Hilbert’s work on the theory of relativity and the foundations of quantum mechanics. The book will primarily appeal to an academic audience, although it will also be of interest to general-interest science readers.

Author: Markus Duelli
Publisher:
ISBN: 9783832508623
Category :
Languages : en
Pages : 0

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The holomorphic functional calculus for sectorial unbounded operators is an extension of the classical Dunford calculus for bounded operators. The interest in this calculus is motivated by the Kato square root problem and applications to the operator-sum method introduced by DaPrato and Grisvard to treat evolution equations on a finite interval. In this thesis we develop the holomorphic functional calculus for multisectorial and asymptotically bisectorial operators. We obtain versions of closed-sum theorems that allow to deduce maximal regularity for first and second order Cauchy problems both on the line and for the periodic problem. The results are then applied to prove existence and uniqueness of non-linear evolution equations.

Author: Sebastian Stahlhut
Publisher:
ISBN: 9782856298299
Category : Differential equations, Elliptic
Languages : en
Pages : 164

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Literaturverzeichnis Seite [157] - 164