Optimization And Nonstandard Analysis

Author : J.E. Rubio
Publisher : CRC Press
ISBN 13 : 9780824792817
Total Pages : 380 pages
Book Rating : 4.15/5 ( download)

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Download or read book Optimization and Nonstandard Analysis written by J.E. Rubio and published by CRC Press. This book was released on 1994-08-10 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents an up-to-date overview of optimization and control theory, including existence theory, modelling, approximation and numerical methods. It also provides a self-contained treatment of the theory and practice of non-standard analysis and its applications, illustrated with problems and research material based on optimization theory. A complete set of detailed exercises and a thorough bibliography arranged by topic are included.;College or university bookstores may order five or more copies at a special student price, available upon request.

Author : Frank H. Clarke
Publisher : SIAM
ISBN 13 : 0898712564
Total Pages : 317 pages
Book Rating : 4.68/5 ( download)

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Download or read book Optimization and Nonsmooth Analysis written by Frank H. Clarke and published by SIAM. This book was released on 1990-01-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Reviews said of this book that it was 'destined to become a classical reference.' This book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together with a set of associated techniques, has had a profound effect on several branches of analysis and optimization. Clarke then applies these methods to obtain a powerful, unified approach to the analysis of problems in optimal control and mathematical programming. Examples are drawn from economics, engineering, mathematical physics, and various branches of analysis in this reprint volume.

Author : Alain Robert
Publisher : Courier Corporation
ISBN 13 : 9780486432793
Total Pages : 184 pages
Book Rating : 4.93/5 ( download)

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Download or read book Nonstandard Analysis written by Alain Robert and published by Courier Corporation. This book was released on 2003-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text is based on the axiomatic internal set theory approach. Theoretical topics include idealization, standardization, and transfer, real numbers and numerical functions, continuity, differentiability, and integration. Applications cover invariant means, approximation of functions, differential equations, more. Exercises, hints, and solutions. "Mathematics teaching at its best." — European Journal of Physics. 1988 edition.

Author : E.I. Gordon
Publisher : Springer Science & Business Media
ISBN 13 : 940170063X
Total Pages : 435 pages
Book Rating : 4.34/5 ( download)

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Download or read book Infinitesimal Analysis written by E.I. Gordon and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing up-to-date methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0-7923-5921-6 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0-7923-6619-0

Author : Nigel J Cutland
Publisher : CRC Press
ISBN 13 : 1000716821
Total Pages : 273 pages
Book Rating : 4.25/5 ( download)

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Download or read book Developments in Nonstandard Mathematics written by Nigel J Cutland and published by CRC Press. This book was released on 2020-01-30 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expository papers and articles reporting on recent research by leading world experts in nonstandard mathematics, arising from the International Colloquium on Nonstandard Mathematics held at the University of Aveiro, Portugal in July 1994. Nonstandard mathematics originated with Abraham Robinson, and the body of ideas that have developed from this theory of nonstandard analysis now vastly extends Robinson's work with infinitesimals. The range of applications includes measure and probability theory, stochastic analysis, differential equations, generalised functions, mathematical physics and differential geometry, moreover, the theory has implicaitons for the teaching of calculus and analysis. This volume contains papers touching on all of the abovbe topics, as well as a biographical note about Abraham Robinson based on the opening address given by W.A>J> Luxemburg - who knew Robinson - to the Aveiro conference which marked the 20th anniversary of Robinson's death. This book will be of particular interest to students and researchers in nonstandard analysis, measure theory, generalised functions and mathematical physics.

Author : Anatoly Kochubei
Publisher : CRC Press
ISBN 13 : 9780203908167
Total Pages : 344 pages
Book Rating : 4.63/5 ( download)

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Download or read book Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields written by Anatoly Kochubei and published by CRC Press. This book was released on 2001-08-03 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat

Author : S. Agaian
Publisher : CRC Press
ISBN 13 : 9780824796426
Total Pages : 332 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Binary Polynomial Transforms and Non-Linear Digital Filters written by S. Agaian and published by CRC Press. This book was released on 1995-04-27 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a unified presentation of the theory of binary polynomial transforms and details their numerous applications in nonlinear signal processing. The book also: introduces the Rademacher logical functions; considers fast algorithms for computing Rademacher and polynomial logical functions; focuses attention on general auto- and cross-correlation functions; and more.;The work is intended for applied mathematicians; electrical, electronics and other engineers; computer scientists; and upper-level undergraduate and graduate students in these disciplines.

Author : Library of Congress. Cataloging Policy and Support Office
Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.63/5 ( download)

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Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2009 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1432 pages
Book Rating : 4.63/5 ( download)

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Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2005 with total page 1432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Yves Talpaert
Publisher : CRC Press
ISBN 13 : 9780824703851
Total Pages : 480 pages
Book Rating : 4.55/5 ( download)

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Download or read book Differential Geometry with Applications to Mechanics and Physics written by Yves Talpaert and published by CRC Press. This book was released on 2000-09-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.