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#### Duality for Nonconvex Approximation and Optimization

Springer 2007; US$ 169.00Researchers have been studying complicated classes of problems that can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimization problems. This monograph contains a presentation of the duality theory for these classes of problems and their generalizations. more...

#### Geometric Applications of Fourier Series and Spherical Harmonics

Cambridge University Press 1996; US$ 64.00A full exposition of the classical theory of spherical harmonics and their use in proving stability results. more...

#### Discrete Geometry

Taylor and Francis 2003; US$ 262.00Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes... more...

#### Lectures on Sphere Arrangements – the Discrete Geometric Side

Springer 2013; US$ 109.00This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems... more...

#### Discrete Geometry and Optimization

Springer 2013; US$ 129.00Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization,... more...

#### Convexity and Optimization in R

Wiley 2003; US$ 183.00LEONARD D. BERKOVITZ, PhD, is Professor of Mathematics at Purdue University. He previously worked at the RAND Corporation and has served on the editorial boards of several journals, including terms as Managing Editor of the SIAM Journal on Control and as a member of the Editorial Committee of Mathematical Reviews. more...

#### New Approaches to Circle Packing in a Square

Springer 2007; US$ 169.00Summarizes results achieved in solving the circle packing problem. This work provides the reader with a comprehensive view of theoretical and computational achievements. It also includes a CD that provides the various open source programming codes used, enabling the reader to improve on them and solve the problem instances that remain challenging. more...

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