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Few mathematical books are worth translating 50 years after
original publication. Polyá-Szegö is one! It was published in
German in 1924, and its English edition was widely acclaimed when
it appeared in 1972. In the past, more of the leading
mathematicians proposed and solved problems than today. Their
collection of the best in analysis is a heritage of lasting
value.

This book is for instructors who think that most calculus textbooks
are too long. In writing the book, James Stewart asked himself:
What is essential for a three-semester calculus course for
scientists and engineers? SINGLE VARIABLE ESSENTIAL CALCULUS,
Second Edition, offers a concise approach to teaching calculus that
focuses on major concepts, and supports those concepts with precise
definitions, patient explanations, and carefully graded problems.... more...

Now in its fifth edition, Vector Calculus helps students
gain an intuitive and solid understanding of this important
subject. The book's careful account is a contemporary balance
between theory, application, and historical development,
providing it's readers with an insight into how mathematics
progresses and is in turn influenced by the natural world.

Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of... more...

Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

This volume consists of the proofs of 391 problems in Real
Analysis: Theory of Measure and Integration (3rd Edition).
Most of the problems in Real Analysis are not mere applications
of theorems proved in the book but rather extensions of the
proven theorems or related theorems. Proving these problems tests
the depth of understanding of the theorems in the main text.
This volume will be especially helpful to those who read Real
Analysis... more...

Mathematical models of deformation of elastic plates are used by
applied mathematicians and engineers in connection with a wide
range of practical applications, from microchip production to the
construction of skyscrapers and aircraft. This book employs two
important analytic techniques to solve the fundamental boundary
value problems for the theory of plates with transverse shear
deformation, which offers a more complete picture of the... more...

Improper Riemann Integrals is the first book to
collect classical and modern material on the subject for
undergraduate students. The book gives students the prerequisites
and tools to understand the convergence, principal value, and
evaluation of the improper/generalized Riemann integral. It also
illustrates applications to science and engineering problems.
The book contains the necessary background, theorems, and tools,
along with... more...

Functional analysis plays a crucial role in the applied sciences as
well as in mathematics. It is a beautiful subject that can be
motivated and studied for its own sake. In keeping with this basic
philosophy, the author has made this introductory text accessible
to a wide spectrum of students, including beginning-level graduates
and advanced undergraduates. The exposition is inviting, following
threads of ideas, describing each as fully as possible,... more...

Honoring Andrei Agrachev's 60th birthday, this volume presents
recent advances in the interaction between Geometric Control Theory
and sub-Riemannian geometry. On the one hand, Geometric Control
Theory used the differential geometric and Lie algebraic language
for studying controllability, motion planning, stabilizability and
optimality for control systems. The geometric approach turned out
to be fruitful in applications to robotics, vision modeling,... more...