Showing posts with label Mathematical. Show all posts
Showing posts with label Mathematical. Show all posts

Thursday, December 16, 2010

Mathematical Lives: Protagonists of the Twentieth Century From Hilbert to Wiles (repost)



Claudio Bartocci, Renato Betti, "Mathematical Lives: Protagonists of the Twentieth Century From Hilbert to Wiles"
Sp-er | 2010 | ISBN: 3642136052 | 330 pages | PDF | 2 MB

Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the social and political problems of their times. What we have sought to document is mathematics’ central position in the culture of our day. Space has been made not only for the great mathematicians but also for literary texts, including contributions by two apparent interlopers, Robert Musil and Raymond Queneau, for whom mathematical concepts represented a valuable tool for resolving the struggle between ‘soul and precision.’



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Thursday, December 9, 2010

Wavelets: A Mathematical Tool for Signal Analysis



Charles K. Chui, "Wavelets: A Mathematical Tool for Signal Analysis"
S-ty for Ind.al Math | 1987 | ISBN: 0898713846 | 228 pages | PDF | 10 MB
Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research. Written for an interdisciplinary audience of engineers, applied mathematicians, and other scientists with little or no knowledge of wavelets, readers with an undergraduate background in applied mathematics or engineering will appreciate this book.


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