|
Showing 1 - 2 of
2 matches in All Departments
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.
Let me begin by explaining the meaning of the title of this book.
In essence, the book studies boundary value problems for linear
partial differ ential equations in a finite domain in n-dimensional
Euclidean space. The problem that is investigated is the question
of the dependence of the nature of the solvability of a given
equation on the way in which the boundary conditions are chosen,
i.e. on the supplementary requirements which the solution is to
satisfy on specified parts of the boundary. The branch of
mathematical analysis dealing with the study of boundary value
problems for partial differential equations is often called
mathematical physics. Classical courses in this subject usually
consider quite restricted classes of equations, for which the
problems have an immediate physical context, or generalizations of
such problems. With the expanding domain of application of
mathematical methods at the present time, there often arise
problems connected with the study of partial differential equations
that do not belong to any of the classical types. The elucidation
of the correct formulation of these problems and the study of the
specific properties of the solutions of similar equations are
closely related to the study of questions of a general nature."
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Tenet
John David Washington, Robert Pattinson
Blu-ray disc
(1)
R54
Discovery Miles 540
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.