This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the... Læs mere
Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs.
The book concludes with a caution against relying solely on empirical evidence and "black box" algorithms, advocating for the integration of physical laws with empirical models to advance understanding of the physical world.
The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, ?-continued fractions, N-continued fractions, and generalized Rényi continued fractions.
This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Convexity in Newton's Method will appeal to... Læs mere
This monograph provides a comprehensive overview of locally perturbed random walks, tools used for their analysis, and current research on their applications.
Moreover, since many of the classical inequalities hold also in a refined form, it is shown that such refinements can be proven in the more general... Læs mere
This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years.