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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 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...

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...

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...

The Multivariable portion of the Soo Tan Calculus textbook tackles complex concepts with a strong visual approach. Utilizing a clear, concise writing style, and use of relevant, real world examples, Soo Tan introduces abstract mathematical concepts with his intuitive style that brings abstract multivariable concepts to life. The Multivariable text provides a great deal of visual help by introducing unique videos that assist students in drawing complex... more...

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...

Vector calculus is the foundation stone on which a vast amount of applied mathematics is based. Topics such as fluid dynamics, solid mechanics and electromagnetism depend heavily on the calculus of vector quantities in three dimensions. This book covers the material in a comprehensive but concise manner, combining mathematical rigour with physical insight. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which is... more...

Fractional calculus was first developed by pure mathematicians in
the middle of the 19th century. Some 100 years later, engineers and
physicists have found applications for these concepts in their
areas. However there has traditionally been little interaction
between these two communities. In particular, typical mathematical
works provide extensive findings on aspects with comparatively
little significance in applications, and the engineering... 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.

"A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions. In summary, this is a well-written text that treats the key classical models of finance through an applied probability approach....It should serve as an excellent introduction for anyone studying the mathematics of the classical theory of finance." --SIAM

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