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A mathematical model of a physical system provides the engineer
with the insight and intuitive understanding required to make
efficient system design changes or other modifications. In this
context, a simple formula is often worth a thousand numerical
simulations, and connections between different control parameters
can be immediately revealed that might otherwise take hours or
weeks to deduce from a computational analysis. This book supplies
the... more...

Success in your calculus course starts here! James Stewart's
CALCULUS texts are world-wide best-sellers for a reason: they are
clear, accurate, and filled with relevant, real-world examples.
With CALCULUS, Eighth Edition, Stewart conveys not only the utility
of calculus to help you develop technical competence, but also
gives you an appreciation for the intrinsic beauty of the subject.
His patient examples and built-in learning aids will help you... more...

Often calculus and mechanics are taught as separate subjects. It
shouldn't be like that. Learning calculus without mechanics is
incredibly boring. Learning mechanics without calculus is missing
the point. This textbook integrates both subjects and highlights
the profound connections between them.
This is the deal. Give me 350 pages of your attention, and I'll
teach you everything you need to know about functions, limits,
derivatives,... more...

This softcover edition of a very popular two-volume work
presents a thorough first course in analysis, leading from real
numbers to such advanced topics as differential forms on
manifolds, asymptotic methods, Fourier, Laplace, and Legendre
transforms, elliptic functions and distributions. Especially
notable in this course is the clearly expressed orientation
toward the natural sciences and its informal exploration of the
essence... more...

This manual includes worked-out solutions to every odd-numbered
exercise in Single Variable Calculus, 7e (Chapters 1-11 of
Calculus, 7e).

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 presents a comprehensive mathematical study of the
operators behind the Born–Jordan quantization scheme. The
Schrödinger and Heisenberg pictures of quantum mechanics are
equivalent only if the Born–Jordan scheme is used. Thus,
Born–Jordan quantization provides the only physically consistent
quantization scheme, as opposed to the Weyl quantization commonly
used by physicists. In this book we develop Born–Jordan... more...

Real analysis provides the fundamental underpinnings for calculus,
arguably the most useful and influential mathematical idea ever
invented. It is a core subject in any mathematics degree, and also
one which many students find challenging. A Sequential
Introduction to Real Analysis gives a fresh take on real
analysis by formulating all the underlying concepts in terms of
convergence of sequences. The result is a coherent, mathematically
rigorous, but... more...

The book gives a detailed and rigorous treatment of the theory of optimization (unconstrained optimization, nonlinear programming, semi-infinite programming, etc.) in finite-dimensional spaces. The fundamental results of convexity theory and the theory of duality in nonlinear programming and the theories of linear inequalities, convex polyhedra, and linear programming are covered in detail. Over two hundred, carefully selected exercises should... more...

The sphere is what might be called a perfect shape. Unfortunately,
nature is imperfect and many bodies are better represented by an
ellipsoid. The theory of ellipsoidal harmonics, originated in the
nineteenth century, could only be seriously applied with the kind
of computational power available in recent years. This, therefore,
is the first book devoted to ellipsoidal harmonics. Topics are
drawn from geometry, physics, biosciences and inverse... more...