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Philosophic, less formalistic approach to perennially important field of analytical mechanics. Model of clear scholarly exposition at graduate level with coverage of basic concepts, calculus of variations, principle of virtual work, equations of motion, relativistic mechanics, much more. First inexpensive paperbound edition. Index. Bibliography.
2012 Reprint of 1961 Edition. Exact facsimile of the original
edition, not reproduced with Optical Recognition Software. Don't
let the title fool you If you are interested in numerical analysis,
applied mathematics, or the solution procedures for differential
equations, you will find this book useful. Because of Lanczos'
unique style of describing mathematical facts in nonmathematical
language, "Linear Differential Operators" also will be helpful to
non-mathematicians interested in applying the methods and
techniques described. Originally published in 1961, this Classics
edition continues to be appealing because it describes a large
number of techniques still useful today. Although the primary focus
is on the analytical theory, concrete cases are cited to forge the
link between theory and practice. Considerable manipulative skill
in the practice of differential equations is to be developed by
solving the 350 problems in the text. The problems are intended as
stimulating corollaries linking theory with application and
providing the reader with the foundation for tackling more
difficult problems.
Basic text for graduate and advanced undergraduate deals with
search for roots of algebraic equations encountered in vibration
and flutter problems and in those of static and dynamic stability.
Other topics devoted to matrices and eigenvalue problems,
large-scale linear systems, harmonic analysis and data analysis,
more.
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