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This edition of James Stewart's best-selling calculus book has been
revised with the consistent dedication to excellence that has
characterized all his books. Stewart's Calculus is successful
throughout the world because he explains the material in a way that
makes sense to a wide variety of readers. His explanations make
ideas come alive, and his problems challenge, to reveal the beauty
of calculus. Stewart's examples stand out because they are not... more...

A Readable yet Rigorous Approach to an Essential Part of
Mathematical ThinkingBack by popular demand,
Real Analysis and Foundations, Third Edition
bridges the gap between classic theoretical texts and less
rigorous ones, providing a smooth transition from logic and
proofs to real analysis. Along with the basic material, the text
covers Riemann-Stieltjes integrals, Fourier analysis, metric
spaces and applications, and differential... more...

Elliptic functions and Riemann surfaces played an important role in
nineteenth-century mathematics. At the present time there is a
great revival of interest in these topics not only for their own
sake but also because of their applications to so many areas of
mathematical research from group theory and number theory to
topology and differential equations. In this book the authors give
elementary accounts of many aspects of classical complex function... more...

Success in your calculus course starts here! James Stewart's
CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers
for a reason: they are clear, accurate, and filled with relevant,
real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, 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... more...

The book introduces a new way of measuring smoothness. The need for
this new concept arises from the failure of the classical moduli of
smoothness to solve some basic problems, such as characterizing the
behaviour of best polynomial approximation in Lp -1,1 . The new
modulus, which has a simple form, can also be described as a Peetre
K functional between an Lp space and a weighted Sobolev space.
Connections between interpolation of spaces and... more...

This book presents an innovative new approach to interval
analysis. Modal Interval Analysis (MIA) is an attempt to go
beyond the limitations of classic intervals in terms of their
structural, algebraic and logical features. The starting point of
MIA is quite simple: It consists in defining a modal interval
that attaches a quantifier to a classical interval and in
introducing the basic relation of inclusion between modal
intervals... more...

Paradoxes and Sophisms in Calculus offers a delightful
supplementary resource to enhance the study of single variable
calculus. By the word paradox the authors mean a surprising,
unexpected, counter-intuitive statement that looks invalid, but
in fact is true. The word sophism describes intentionally invalid
reasoning that looks formally correct, but in fact contains a
subtle mistake or flaw. In other words, a sophism is a false
proof... more...

Now in its fourth edition, the first part of this book is devoted
to the basic material of complex analysis, while the second covers
many special topics, such as the Riemann Mapping Theorem, the gamma
function, and analytic continuation. Power series methods are used
more systematically than is found in other texts, and the resulting
proofs often shed more light on the results than the standard
proofs. While the first part is suitable for an... more...