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This manual contains complete solutions to about 25 percent of the
problems in the book. Solutions include proofs to several theorems
that are assigned as student exercises in the text.

This text is designed for the multivariable component a
three-semester or four-quarter calculus course (math,
engineering, and science majors).
Calculus hasn’t changed, but your students have. Today’s students
have been raised on immediacy and the desire for relevance, and
they come to calculus with varied mathematical backgrounds.
Thomas’ Calculus, Twelfth Edition, helps your students
successfully generalize and... more...

The goal of this monograph is to address the issue of the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The mathematical models we examine include the linear and nonlinear parabolic and hyperbolic PDE's, the Schrödinger equation, and coupled hybrid nonlinear distributed parameter systems modeling the swimming phenomenon. The book offers... more...

Taking a fresh approach while retaining classic presentation, the Tan Calculus series utilizes a clear, concise writing style, and uses relevant, real world examples to introduce abstract mathematical concepts with an intuitive approach. In keeping with this emphasis on conceptual understanding, each exercise set in the three semester Calculus text begins with concept questions and each end-of-chapter review section includes fill-in-the-blank questions... more...

The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as... more...

Based on a graduate course by the celebrated analyst Nigel
Kalton, this well-balanced introduction to functional analysis
makes clear not only how, but why, the field
developed. All major topics belonging to a first course in
functional analysis are covered. However, unlike traditional
introductions to the subject, Banach spaces are emphasized over
Hilbert spaces, and many details are presented in a novel manner,
such as the proof of... more...

Structured Controllers for Uncertain Systems focuses on the
development of easy-to-use design strategies for robust low-order
or fixed-structure controllers (particularly the industrially
ubiquitous PID controller). These strategies are based on a
recently-developed stochastic optimization method termed the
"Heuristic Kalman Algorithm" (HKA) the use of which results in a
simplified methodology that enables the solution of the... more...

Quick Calculus 2nd Edition A Self-Teaching Guide Calculus is
essential for understanding subjects ranging from physics and
chemistry to economics and ecology. Nevertheless, countless
students and others who need quantitative skills limit their
futures by avoiding this subject like the plague. Maybe that's why
the first edition of this self-teaching guide sold over 250,000
copies. Quick Calculus, Second Edition continues to teach the
elementary... more...

The book is a primer of the theory of Ordinary Differential
Equations. Each chapter is completed by a broad set of exercises;
the reader will also find a set of solutions of selected
exercises. The book contains many interesting examples as well
(like the equations for the electric circuits, the pendulum
equation, the logistic equation, the Lotka-Volterra system, and
many other) which introduce the reader to some interesting
aspects of... more...

Calculus. For some of us, the word conjures up memories of
ten-pound textbooks and visions of tedious abstract equations.
And yet, in reality, calculus is fun, accessible, and surrounds
us everywhere we go. In Everyday Calculus, Oscar Fernandez
shows us how to see the math in our coffee, on the highway, and
even in the night sky.
Fernandez uses our everyday experiences to skillfully reveal the
hidden calculus behind a typical day's... more...