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#### 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...

#### Convexity and Optimization in Rn

Wiley 2003; US$ 189.00 US$ 170.10A comprehensive introduction to convexity and optimization in Rn This book presents the mathematics of finite dimensional constrained optimization problems. It provides a basis for the further mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems.... more...

#### Discrete Geometry

CRC Press 2003; US$ 275.00Celebrating 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...

#### Duality for Nonconvex Approximation and Optimization

Springer New York 2007; US$ 149.00The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive... more...

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

Springer New York 2013; US$ 97.42This book gives a short introduction to parts of modern discrete geometry in addition to leading the reader to the frontiers of geometric research on sphere arrangements. It contains 30 open research problems ideal for graduate students and researchers. more...

#### Convex Models of Uncertainty in Applied Mechanics

Elsevier Science 2013; US$ 72.95Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity... more...

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

Springer US 2007; US$ 133.98In one sense, the problem of finding the densest packing of congruent circles in a square is easy to understand. But on closer inspection, this problem reveals itself to be an interesting challenge of discrete and computational geometry with all its surprising structural forms and regularities. This book summarizes results achieved in solving the... more...

#### Discrete Geometry and Optimization

Springer International Publishing 2013; US$ 103.15Based on presentations at the 2011 Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, this book illustrates many fruitful connections found in the interaction between geometers and optimizers. more...

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