Optimization and Nonstandard Analysis
Author : Julio Enrique Rubio
Publisher :
Page : 0 pages
File Size : 26,56 MB
Release : 1994
Category :
ISBN :
Optimization and Nonstandard Analysis
Author : J.E. Rubio
Publisher : CRC Press
Page : 380 pages
File Size : 44,23 MB
Release : 1994-08-10
Category : Mathematics
ISBN : 9780824792817
Book Description
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.
Developments in Nonstandard Mathematics
Author : Nigel J Cutland
Publisher : CRC Press
Page : 278 pages
File Size : 43,21 MB
Release : 2020-01-30
Category : Mathematics
ISBN : 1000724646
Book Description
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.
Library of Congress Subject Headings
Author : Library of Congress
Publisher :
Page : 1432 pages
File Size : 20,22 MB
Release : 2005
Category : Subject headings, Library of Congress
ISBN :
Book Description
Differential Geometry with Applications to Mechanics and Physics
Author : Yves Talpaert
Publisher : CRC Press
Page : 480 pages
File Size : 47,40 MB
Release : 2000-09-12
Category : Mathematics
ISBN : 9780824703851
Book Description
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.
Geometric Function Theory in One and Higher Dimensions
Author : Ian Graham
Publisher : CRC Press
Page : 572 pages
File Size : 31,93 MB
Release : 2003-03-18
Category : Mathematics
ISBN : 9780203911624
Book Description
This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in
Applications Of Orlicz Spaces
Author : M.M. Rao
Publisher : CRC Press
Page : 496 pages
File Size : 33,77 MB
Release : 2002-02-08
Category : Mathematics
ISBN : 9780203910863
Book Description
Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.
Foundations of Translation Planes
Author : Mauro Biliotti
Publisher : CRC Press
Page : 570 pages
File Size : 23,80 MB
Release : 2001-07-13
Category : Mathematics
ISBN : 9780824706098
Book Description
An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.
Radical Theory of Rings
Author : J.W. Gardner
Publisher : CRC Press
Page : 412 pages
File Size : 45,12 MB
Release : 2003-11-19
Category : Mathematics
ISBN : 9780203913352
Book Description
Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.
Difference Equations with Applications to Queues
Author : David L. Jagerman
Publisher : CRC Press
Page : 280 pages
File Size : 27,63 MB
Release : 2000-08-22
Category : Mathematics
ISBN : 9780203909737
Book Description
"Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"
