Product Description: A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian...read more

Product Description: 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...read more (view table of contents, read Amazon.com's description)

Product Description: This book collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Boolean-valued constructions of use in the classical problems of representing abstract analytical objects, such as Banach-Kantorovich spaces, vector measures, and dominated and integral operators...read more (view table of contents, read Amazon.com's description)

Product Description: Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the discipline's most difficult and enduring challenges...read more

Product Description: Kantorovich, the late Nobel Laureate, was a respected mathematical economist, and one of the founding fathers of linear programming. Part I begins with chapters on the theory of sets and real functions. Topics treated include universal functions, W...read more

Product Description: This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces...read more

Product Description: This volume is devoted to modern accomplishments in the field of vector lattices and integral operators which were achieved in Russia during the last two decades. Nonstandard methods are elaborated for the analysis of vector lattices and positive operators...read more

Product Description: This monograph presents the most important results of a new branch of functional analysis: subdifferential calculus and its applications. New tools and techniques of convex and nonsmooth analysis are presented, such as Kantorovich spaces, vector duality, Boolean-valued and infinitesimal versions of nonstandard analysis, etc...read more

Product Description: Reflects the growing practical applications for methods of computing the turbulent boundary layer based on relative limiting friction and heat exchange laws. Highlighted are conditions existing under two-phase flow and novel applications of injection critical parameters.