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 Challenging Mathematical Problems With Elementary Solutions, Vol. 1
Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis.
This book is the first of a two-volume translation and adaptation of a well-known Russian problem book entitled Non-Elementary Problems in an... |  |  |  |  Taxicab Geometry: An Adventure in Non-Euclidean Geometry
Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.
This book has a triple purpose: to develop a very simple, concrete non-Euclidean geometry; to explore a few of its many real-world applications; to pose some of the... |
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 The Lanczos Method: Evolution and Application (Software, Environments and Tools)'I recommend this book to anyone who wants to appreciate the often subtle interactions between algorithm research and engineering applications. For the engineer, it comprehensively summarizes 25 years of intellectual development in the understanding of the basic Lanczos algorithm and its many variants. For the numerical analysts, it describes the... |  |  Solving Nonlinear Equations with Newton's Method (Fundamentals of Algorithms)This small book on Newton's method is a user-oriented guide to algorithms and implementation. Its purpose is to show, via algorithms in pseudocode, in MATLAB®, and with several examples, how one can choose an appropriate Newton-type method for a given problem and write an efficient solver or apply one written by others.
This book is... |  |  The DFT: An Owners' Manual for the Discrete Fourier TransformJust as a prism separates white light into its component bands of colored light, so the discrete Fourier transform (DFT) is used to separate a signal into its constituent frequencies. Just as a pair of sunglasses reduces the glare of white light, permitting only the softer green light to pass, so the DFT may be used to modify a signal to achieve a... |
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