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This textbook is an introduction to functional analysis suited to
final year undergraduates or beginning graduates. Its various
applications of Hilbert spaces, including least squares
approximation, inverse problems, and Tikhonov regularization,
should appeal not only to mathematicians interested in
applications, but also to researchers in related fields.
Functional Analysis adopts a self-contained approach to
Banach spaces and... more...

This textbook is aimed at newcomers to nonlinear dynamics and
chaos, especially students taking a first course in the subject.
The presentation stresses analytical methods, concrete examples,
and geometric intuition. The theory is developed systematically,
starting with first-order differential equations and their
bifurcations, followed by phase plane analysis, limit cycles and
their bifurcations, and culminating with the Lorenz... more...

This book gives a practical overview of Fractional Calculus as it
relates to Signal Processing

"Complex Variables and Applications, 8E" will serve, just as the
earlier editions did, as a textbook for an introductory course in
the theory and application of functions of a complex variable. This
new edition preserves the basic content and style of the earlier
editions. The text is designed to develop the theory that is
prominent in applications of the subject. You will find a special
emphasis given to the application of residues and conformal... more...

George Thomas' clear, precise calculus text with superior applications defined the modern-day, three-semester or four-quarter calculus course. The ninth edition of this proven text has been carefully revised to give students the solid base of material they will need to succeed in math, science, and engineering programs. This edition includes recent innovations in teaching and learning that involve technology, projects, and group work.

This volume presents significant advances in a number of theories
and problems of Mathematical Analysis and its applications in
disciplines such as Analytic Inequalities, Operator Theory,
Functional Analysis, Approximation Theory, Functional Equations,
Differential Equations, Wavelets, Discrete Mathematics and
Mechanics. The contributions focus on recent developments and are
written by eminent scientists from the international... more...

Fourier Transforms: Principles and Applications explains
transform methods and their applications to electrical systems
from circuits, antennas, and signal processorsâ€”ably guiding
readers from vector space concepts through the Discrete Fourier
Transform (DFT), Fourier series, and Fourier transform to other
related transform methods. Featuring chapter end summaries
of key results, over two hundred examples and four hundred... more...

Renowned professor and author Gilbert Strang demonstrates that
linear algebra is a fascinating subject by showing both its beauty
and value. While the mathematics is there, the effort is not all
concentrated on proofs. Strang's emphasis is on understanding. He
explains concepts, rather than deduces. This book is written in an
informal and personal style and teaches real mathematics. The gears
change in Chapter 2 as students reach the introduction of... more...

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

This book provides an introduction to the analysis and the
control mechanism of physical, chemical, biological,
technological and economic models and their nonequilibrium
evolution dynamics. Strong emphasis is placed on the foundation
of variational principles, evolution and control equations,
numerical methods, statistical concepts and techniques for
solving or estimation of stochastic control problems for systems
with a high degree... more...

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