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This book explores in detail the "extensions" of rings and modules. It covers mathematical interdiscipllinary applications throughout and features exercises and open problems.
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Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals.
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At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.
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Assuming knowledge of the Fast Fourier Transform, this book covers advanced topics including the Hilbert transform, cepstrum analysis and the two-dimensional... Læs mere
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This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference.
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The first of a two book series which comprises the expanded second edition of the previously published text Real Analysis, this volume covers topics in point-set topology and measure and integration. Includes examples and figures, and some 580 problems.
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This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis.
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This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.
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The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S.
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