Mathematics and Its Applications

Kusraev, A.G.; Kutateladze, Semën Samsonovich

Nonstandard 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.

Details

Published by: Springer

Publication Date: 2012-10-20

Format: Paperback

ISBN-13: 9789401044974

DOI: 10.1007/978-94-011-1136-2

Dimensions: 240cm x160cm

Pages: 439