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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 440
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Book Description
Author: Stephen Cole Kleene
Publisher: Courier Corporation
ISBN: 0486317072
Category : Mathematics
Languages : en
Pages : 436
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Book Description
Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 440
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Book Description
Author: Richard Van Den Berg
Publisher: Routledge
ISBN: 1134401493
Category : Biography & Autobiography
Languages : en
Pages : 422
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Book Description
This pioneering new book examines the life and work of Achille Nicolas Isnard. It illuminates his major contributions to political economy and contains substantial extracts from a number of his publications in French and English.
Author: Cornell University. Library
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
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Book Description
Author: Jean-Pierre Aubin
Publisher: Courier Corporation
ISBN: 048646265X
Category : Mathematics
Languages : en
Pages : 658
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Book Description
Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
Author: David Chudnovsky
Publisher: Springer Science & Business Media
ISBN: 0387683615
Category : Mathematics
Languages : en
Pages : 361
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Book Description
This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research.
Author: Cornell university libr
Publisher:
ISBN:
Category :
Languages : en
Pages : 116
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Book Description
Author: S. Kusuoka
Publisher: Springer Science & Business Media
ISBN: 4431308997
Category : Business & Economics
Languages : en
Pages : 481
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Book Description
A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 730
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Book Description
Author: Martin H Krieger
Publisher: World Scientific
ISBN: 9814571865
Category : Mathematics
Languages : en
Pages : 492
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Book Description
Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics — what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see 'an identity in a manifold presentation of profiles,' as the phenomenologists would say.This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an 'ugly' first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlevé transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.
