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Designed for the three-semester engineering calculus course,
CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, Sixth Edition, continues
to offer instructors and students innovative teaching and learning
resources. The Larson team always has two main objectives for text
revisions: to develop precise, readable materials for students that
clearly define and demonstrate concepts and rules of calculus; and
to design comprehensive teaching resources for instructors... more...

The tenth edition of this clear, precise calculus text with
superior applications sets the standard in calculus. The tenth
edition of this proven text was carefully revised to give students
the solid base they need to succeed in math, science and
engineering programs. Through a comprehensive technology package,
this edition now includes more opportunity to incorporate optional,
but meaningful technology into the course.

It provides a transition from elementary calculus to
advanced courses in real and complex function theory and
introduces the reader to some of the abstract thinking that
pervades modern analysis.

This book develops a new theory of multi-parameter singular
integrals associated with Carnot-Carathéodory balls. Brian Street
first details the classical theory of Calderón-Zygmund singular
integrals and applications to linear partial differential
equations. He then outlines the theory of multi-parameter
Carnot-Carathéodory geometry, where the main tool is a
quantitative version of the classical theorem of Frobenius.
Street then... more...

Macdonald and Morris gave a series of constant term $q$-conjectures
associated with root systems. Selberg evaluated a multivariable
beta type integral which plays an important role in the theory of
constant term identities associated with root systems. Aomoto
recently gave a simple and elegant proof of a generalization of
Selberg's integral. Kadell extended this proof to treat Askey's
conjectured $q$-Selberg integral, which was proved independently by... more...

The Larson CALCULUS program has a long history of innovation in the
calculus market. It has been widely praised by a generation of
students and professors for its solid and effective pedagogy that
addresses the needs of a broad range of teaching and learning
styles and environments. Each title is just one component in a
comprehensive calculus course program that carefully integrates and
coordinates print media and technology products for successful... more...

This work combines both analytic and geometric (topological)
approaches to studying difference equations. It integrates both
classical and modern treatments of the subject, offering material
stability, z-transform, discrete control theory and symptotic
theory. The book contains a set of applications in a variety of
disciplines including neural networks, feedback control, Markov
chains, trade models, heat transfer, propagation of plants, and so
forth.... more...

Nonlinear Optimal Control Theory presents a
deep, wide-ranging introduction to the mathematical theory of the
optimal control of processes governed by ordinary differential
equations and certain types of differential equations with
memory. Many examples illustrate the mathematical issues that
need to be addressed when using optimal control techniques in
diverse areas.
Drawing on classroom-tested material from Purdue University and... more...

This is a rigorous introduction to the theory of complex functions
of one complex variable. The authors have made an effort to present
some of the deeper and more interesting results, for example,
Picard's theorems, Riemann mapping theorem, Runge's theorem in the
first few chapters. However, the very basic theory is nevertheless
given a thorough treatment so that readers should never feel lost.
After the first five chapters, the order may be adapted to... more...