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Fourier Transforms: Principles and Applications explains
transform methods and their applications to electrical systems
from circuits, antennas, and signal processors—ably guiding
readers from vector space concepts through the Discrete Fourier
Transform (DFT), Fourier series, and Fourier transform to other
related transform methods. Featuring chapter end summaries
of key results, over two hundred examples and four hundred... more...

This fundamental and straightforward text addresses a weakness
observed among present-day students, namely a lack of familiarity
with formal proof. Beginning with the idea of mathematical proof
and the need for it, associated technical and logical skills are
developed with care and then brought to bear on the core material
of analysis in such a lucid presentation that the development
reads naturally and in a straightforward progression.... 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...

This textbook is aimed at newcomers to nonlinear dynamics and
chaos, especially students taking a first course in the subject.
The presentation stresses analytical methods, concrete examples,
and geometric intuition. The theory is developed systematically,
starting with first-order differential equations and their
bifurcations, followed by phase plane analysis, limit cycles and
their bifurcations, and culminating with the Lorenz... 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...

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...

Elementary Real Analysis is written in a rigorous, yet
reader friendly style with motivational and historical material
that emphasizes the “big picture” and makes proofs seem natural
rather than mysterious. Introduces key concepts such as point set
theory, uniform continuity of functions and uniform convergence of
sequences of functions. Covers metric spaces. Ideal for readers
interested in mathematics, particularly in advanced calculus and
real... more...

Gunter Lumer was an outstanding mathematician whose works have
great influence on the research community in mathematical analysis
and evolution equations. He was at the origin of the breath-taking
development the theory of semigroups saw after the pioneering book
of Hille and Phillips from 1957. This volume contains invited
contributions presenting the state of the art of these topics and
reflecting the broad interests of Gunter Lumer.

This book is concerned with the infinitesimal approach originally set forth by Newton and Leibnitz. The author has moved the theoretical material from Chapter One to an Appendix in this edition. A new chapter on differential equations has been added and the transcendental functions have been fully integrated into the first section. This book should be of interest to first and second year undergraduate mathematics students.