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This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs.
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Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science.
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The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by... Læs mere
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The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class.?This second edition contains a significant amount of new material, including a new chapter dedicated to the CR geometry of the unit sphere.
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Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main... Læs mere
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This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and proved in the first nontrivial case, i.e.
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The study of large-scale features of a network often requires approximations that may result in significant divergence from... Læs mere
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This book is the very first one in the English language dedicated to the Lambert W function, its generalizations, and its applications. One... Læs mere
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Integration with Complex Numbers: A Primer on Complex Analysis offers a reader-friendly contemporary balance between idea, proof, and... Læs mere
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Integration with Complex Numbers: A Primer on Complex Analysis offers a reader-friendly contemporary balance between idea, proof, and... Læs mere