This third edition of Advanced Engineering Mathematics has been completely updated and revised to reflect changes in undergraduate engineering education based on the widespread use of computers. Written specifically for engineering students, it introduces mathematical methods essential to solving real-world problems. Written in a clear, accessible style, the third edition incorporates three software packages--Maple®, Excel®, and MATLAB®--in problems and examples throughout the text. Topics covered include series methods, Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex variables, and wavelets. Advanced Engineering Mathematics, Third Edition, is ideal for upper-level undergraduate or first-year graduate courses in advanced engineering mathematics, engineering analysis, or applied mathematics. Features ®Written for engineering students ®Focuses on real-world problems ® Incorporates Maple® throughout, with some applications of Excel® and MATLAB® ®Reviews solutions of ordinary differential equations ®Presents a new chapter on wavelets and a new section on Fourier Transforms A Solutions Manual (0-19-522215-6) is available to adopters.

Advanced Engineering Mathematics

Science & Math

Goldberg, J. L.

Aboufadel, Edward

POTTER, Merle C.

Mathematics

Oxford University Press

An accessible and practical introduction to wavelets With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra. The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI uses wavelets to compress fingerprint images. Wavelet theory is further developed in the setting of function spaces. The book then moves on to present more advanced topics such as filters, multiresolution analysis, Daubechies' wavelets, and further applications. The book concludes with a series of projects and problems that introduce advanced topics and offer starting points for research. Sample projects that demonstrate real wavelet applications include image compression, a wavelet-based search engine, processing with Daubechies' wavelets, and more. Among the special features of Discovering Wavelets are: * Real-life, hands-on examples that involve actual wavelet applications * A companion Web site containing Pixel Images software and Maple files to be used with the projects in the book * Challenging problems that reinforce and expand on the ideas being developed * An appendix containing the linear algebra needed to understand wavelets as presented in the book

Discovering Wavelets

Schlicker, Steven

Earth Sciences

Wiley-Interscience

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