Multidimensional Analysis and Discrete Models - Hardcover

Dezin, Aleksei A.

Hardcover

ISBN 10: 1315895765 ISBN 13: 9781315895765

Publisher: CRC Press, 2017

Synopsis

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.

About this title

About the Author

Aleksei A. Dezin

Edition details

• Publisher: CRC Press
• Publication date: 2017
• Language: English
• ISBN 10: 1315895765
• ISBN 13: 9781315895765
• Binding: Hardcover
• Edition number: 1
• Number of pages: 252