Free Delivery Over $100
|
|
|||
|
||||
OverviewNonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Boolean-valued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work. Full Product DetailsAuthor: A.G. Kusraev , Semën Samsonovich KutateladzePublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 1994 Volume: 291 Dimensions: Width: 16.00cm , Height: 2.30cm , Length: 24.00cm Weight: 0.717kg ISBN: 9789401044974ISBN 10: 940104497 Pages: 439 Publication Date: 20 October 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsI. Infinitesimal Analysis.- 1. Excursus into the History of Mathematical Analysis.- 2. Naive Fundamentals of Infinitesimal Methods.- 3 Set-Theoretic Formalisms of Nonstandard Analysis.- 4. Monads in General Topology.- 5. Infinitesimals and Subdifferentials.- 2. Boolean-Valued Analysis.- 1. Universes of Sets.- 2. Boolean-Valued Universes.- 3. Functors of Boolean-Valued Analysis.- 4. Boolean-Valued Analysis of Algebraic Systems.- 5. Boolean Representations in Functional Analysis.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
