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This is an unusual book because it contains a great deal of
formulas. Hence it is a blend of monograph, textbook, and
handbook.It is intended for students and researchers who need quick
access to useful formulas appearing in the linear regression model
and related matrix theory. This is not a regular textbook - this is
supporting material for courses given in linear statistical models.
Such courses are extremely common at universities with... more...

A new and complete treatment of semi-abelian degenerations of
abelian varieties, and their application to the construction of
arithmetic compactifications of Siegel moduli space, with most of
the results being published for the first time. Highlights of the
book include a classification of semi-abelian schemes, construction
of the toroidal and the minimal compactification over the integers,
heights for abelian varieties over number fields, and Eichler... more...

This book deals with the SLF/ELF wave propagation, an important
branch of electromagnetic theory. The SLF/ELF wave propagation
theory is well applied in earthquake electromagnetic radiation,
submarine communication, thunderstorm detection, and geophysical
prospecting and diagnostics. The propagation of SLF/ELF
electromagnetic waves is introduced in various media like the
earth-ionospheric waveguide, ionospheric plasma, sea water, earth,
and the... more...

This text provides an up-to-date account of Banach and locally
convex algebras with a particular emphasis on general theory,
representations, and homology. In his descriptions and examples of
general theory, the author remains aware of traditional trends in
the field analysis while breaking from convention in his approach
to "the algebra of analysis" through homological algebra. Such an
approach allows Helemskii to consider topics not covered at this... more...

This text offers an introduction to error-correcting linear codes
for researchers and graduate students in mathematics, computer
science and engineering. The book differs from other standard
texts in its emphasis on the classification of codes by means of
isometry classes. The relevant algebraic are developed
rigorously. Cyclic codes are discussed in great detail. In the
last four chapters these isometry classes are enumerated, and... more...

This volume explores the many different meanings of the notion of
the axiomatic method, offering an insightful historical and
philosophical discussion about how these notions changed over the
millennia.
The author, a well-known philosopher and historian of
mathematics, first examines Euclid, who is considered the father
of the axiomatic method, before moving onto Hilbert and Lawvere.
He then presents a deep textual analysis of each... more...

This two-volume work presents a systematic theoretical and
computational study of several types of generalizations of
separable matrices. The main attention is paid to fast algorithms
(many of linear complexity) for matrices in semiseparable,
quasiseparable, band and companion form. The work is focused on
algorithms of multiplication, inversion and description of
eigenstructure and includes a large number of illustrative examples
throughout the... more...

Group inverses for singular M-matrices are useful tools not only
in matrix analysis, but also in the analysis of stochastic
processes, graph theory, electrical networks, and demographic
models. Group Inverses of M-Matrices and Their
Applications highlights the importance and utility of
the group inverses of M-matrices in several application areas.
After introducing sample problems associated with Leslie matrices
and stochastic... more...

Newtonian Nonlinear Dynamics for Complex Linear and Optimization
Problems explores how Newton's equation for the motion of one
particle in classical mechanics combined with finite difference
methods allows creation of a mechanical scenario to solve basic
problems in linear algebra and programming. The authors present a
novel, unified numerical and mechanical approach and an important
analysis method of optimization.