This book fills the gap between volumes on wavelets that are either too advanced (in terms of mathematical background required) or that contain too little mathematical theory underlying wavelets. It presents most of the theory underlying Fourier analysis and wavelets in a clear and comprehensive fashion-- without requiring advanced background in real analysis. Provides a careful balance between theory and practical algorithms, and features a clear presentation of applications to digital signal processing--e.g., data compression, digital filtering and singularity detection. Includes illustrations and MATLAB code used in many of the algorithms. Inner Product Spaces. Fourier Series. The Fourier Transform. Discrete Fourier Analysis. Wavelet Analysis. Multiresolution Analysis. The Daubechies Wavelets. For anyone interested in Wavelets and Fourier Analysis.

First Course in Wavelets with Fourier Analysis

Science & Math

Boggess, Albert

Narcowich, Francis J.

Mathematics

PRENTICE/HALL

This book strikes a balance between the traditional and the modern—combining the traditional material with a modern systems emphasis. Chapter topics cover an introduction to differential equations, first-order equations, modeling and applications, second-order equations, the Laplace Transform, numerical methods, matrix algebra, an introduction to systems, linear systems with constant coefficients, nonlinear systems, power series solutions, Fourier series methods, and partial differential equations.

Differential Equations with Boundary Value Problems

Polking, John

ARNOLD, DAVID

This text strikes a balance between the traditional and the modern. It covers all of the traditional material and more. It offers flexibility of use that will allow faculty at a variety of institutions to use the text. Includes a large number of graphics that display the ideas in ODEs; modeling and applications; and projects, which provide students with the opportunity to bring together much of what they have learned, including analytical, computational, and interpretative skills. Ideal for readers interested in learning about differential equations.

Differential Equations

Polking, John C.

A comprehensive, self-contained treatment of Fourier analysis and wavelets―now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature: <ul>
<li> The development of a Fourier series, Fourier transform, and discrete Fourier analysis </li> <li> Improved sections devoted to continuous wavelets and two-dimensional wavelets </li> <li> The analysis of Haar, Shannon, and linear spline wavelets </li> <li> The general theory of multi-resolution analysis </li> <li> Updated MATLAB code and expanded applications to signal processing </li> <li> The construction, smoothness, and computation of Daubechies' wavelets </li> <li> Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform </li> </ul>
Applications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples. A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level.

A First Course in Wavelets with Fourier Analysis

wiley

Designed to help students learn how to use the Maple computer algebra system to solve problems in calculus, this combination text/lab manual/resource book offers an easy-to-understand presentation that will help your students get the most out of the Maple computer algebra system and the calculus course.

Calclabs With Maple V

Computers & Technology

Breton Pub Co

This fast, easy way for students to learn how to use Mathematica to solve problems in calculus is a combination text/lab manual/resource book that includes student projects and weekly labs.

CalcLabs with Mathematica

Williams, Colin

Barrow, David

Blachman, Nancy

Rahe, Maurice

Programming

Brooks/Cole

This comprehensive book helps students tap into the power of Maple, thereby simplifying the computations and graphics that are often required in the practical use of mathematics. Numerous examples and exercises provide a thorough introduction to the basic Maple commands that are needed to solve differential equations.

Solving ODE’s with Maple V (A volume in the Brooks/Cole Symbolic Computation Series)

Belmonte, Art

Bryant, Jack

Kiffe, Tom

Contains 20 projects, sample syllabi, troubleshooting tips, and programming with Maple. Each chapter ends with a summary and a set of exercises.

CalcLabs with Maple for Stewart’s Single Variable Calculus: Concepts and Contexts, Single Variable

Morgan, Jeff

Massoud, Samia

This comprehensive book helps students tap into the power of Maple, thereby simplifying the computations and graphics that are often required in the practical use of mathematics. Numerous examples and exercises provide a thorough introduction to the basic Maple commands that are needed to solve differential equations. Topics include: numerical algorithms, first order linear systems, homogeneous and nonhomogeneous equations, beats and resonance, Laplace Transforms, qualitative theory, nonlinear systems, and much more.

Solving Differential Equations with Maple V: Release 4 (Brooks / Cole Symbolic Computation Series)

Each of these comprehensive lab manuals will help students learn to effectively use the technology tools available to them. Each lab contains clearly explained exercises and a variety of labs and projects to accompany the text.

CalcLabs with Maple for Stewart’s Single Variable Calculus, 5th

Yasskin, Philip B.

Software

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