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Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.
An introductory treatment to the homotopy theory of homotopical categories, presenting several models and comparisons between them.
A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.
Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians
Take a fascinating thematic journey of Italy with the brand-new Michelin Green Guide Wine Trails of Italy. Explore Italy’s regional vineyards and wineries. Learn all about Italian wine: making it, tasting it, serving it. And visit the scenic towns and villages along the way. Suggested Michelin Driving Tours for wine routes include special points of interest. Through its star-rating system, well-researched places to stay and eat, colorful maps and suggested activities, the Green Guide helps you discover the best of Italy and its wines
This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integral...
This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).
Introduction to homological mirror symmetry from the point of view of representation theory, suitable for graduate students.