Multidimensional analysis and discrete models
著者
書誌事項
Multidimensional analysis and discrete models
CRC Press, c1995
- : alk. paper
- タイトル別名
-
Mnogomernyĭ analiz i diskretnye modeli
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注記
Includes bibliographical references (p. 235-240) and index
内容説明・目次
内容説明
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.
目次
To the Reader
One-Dimensional Models
Formal Structures
Analysis on Riemannian Manifolds
The Model of Euclidean Space and Difference Operators
Models in Quantum Physics
Structural Analysis of Discrete Equations
References
Index
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