http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Multidimensional analysis and discrete models
Mnogomernyĭ analiz i diskretnye modeli. English
1 online resource (253 pages) : illustrations
"Multidimensional Analysis and Discrete Models, a thorough and detailed reference, covers the main structures of multidimensional analysis and the intrinsically defined discrete models in applied mathematics, mathematical physics, and related fields. The material is presented in a clear and straightforward manner, with background information provided to define finite models and to clarify the concepts of multidimensional analysis. The book covers special difference models of the mathematical physics equations, models of boundary value problems, and objects of quantum mechanics. Considerable attention is also given to differential operators on Riemannian manifolds and the interpretation of classical vector analysis. The primary focus of Multidimensional Analysis and Discrete Models is on the description of regular methods of constructing intrinsically defined discrete models for special classes of continual objects, but emphasis is also given to the interaction of ideas and methods that exist throughout the field of mathematics. For example, the connections between theories derived from classical and functional analysis, Riemannian geometry, and algebraic topology are illustrated, and are discussed in terms of their relevance to computing solutions."--Provided by publisher
Chapter To the Reader / Aleksei A. Dezin -- chapter 0 One-Dimensional Models / Aleksei A. Dezin -- chapter 1 Formal Structures / Aleksei A. Dezin -- chapter 2 Analysis on Riemannian Manifolds / Aleksei A. Dezin -- chapter 3 The Model of Euclidean Space and Difference Operators / Aleksei A. Dezin -- chapter 4 Models in Quantum Physics / Aleksei A. Dezin -- chapter 5 Structural Analysis of Discrete Equations / Aleksei A. Dezin.
Aleksei A. Dezin, Steklov Mathematical Institute, Russian Academy of Sciences, Moscow ; translated from the Russian by Irene Aleksanova.
"First published 1995 by CRC Press"--Copyright page
Includes bibliographical references and index.