Differential Forms With Applications To The Physical Sciences By Harley Flanders
Download Differential Forms With Applications To The Physical Sciences By Harley Flanders PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Differential Forms With Applications To The Physical Sciences By Harley Flanders book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Differential Forms with Applications to the Physical Sciences
Author: Harley Flanders
language: en
Publisher: Courier Corporation
Release Date: 1963-01-01
Introduces the use of exterior differential forms as a powerful took in the analysis of a variety of mathematical problems in the physical and engineering sciences.
Differential Forms with Applications to the Physical Sciences by Harley Flanders
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Differential Forms and Connections
Author: R. W. R. Darling
language: en
Publisher: Cambridge University Press
Release Date: 1994-09-22
Introducing the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--this textbook covers both classical surface theory, the modern theory of connections, and curvature. With no knowledge of topology assumed, the only prerequisites are multivariate calculus and linear algebra.