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The scope of this book is the improper or generalized Riemann integral and infinite sum (series). The reader will study its convergence, principal value, evaluation and application to science and engineering.
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This book provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable... Læs mere
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This book is comprised of two parts. The first part is devoted to the Riemann integral, and provides a novel approach, that... Læs mere
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More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. The intended readership is the same, namely graduate... Læs mere
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Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series.
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Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their... Læs mere
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Multiplicative Differential Equations: Volume 2 is the second part of a comprehensive approach to the subject. It continues a series of books written by the authors on multiplicative, geometric approaches to key mathematical topics.
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This book prepares readers taking advanced courses in analysis, probability, harmonic analysis, and applied mathematics at... Læs mere
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This book can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which covers Fourier series and orthogonal functions,... Læs mere
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Bornologies are a useful tool in studying problems in mathematical analysis and general topology. For example, they can be used to characterize those metric spaces on which the real-valued uniformly continuous functions are stable under pointwise products.
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Published under the collective title of Foundations of Quantitative Finance, this set of ten books... Læs mere
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Published under the collective title of Foundations of Quantitative Finance, this set of ten books... Læs mere