Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in...

Taking and analyzing images of materials' microstructures is essential for quality control, choice and design of all kind of products. Today, the standard method still is to analyze 2D microscopy images. But, insight into the 3D geometry of the microstructure of materials and measuring its characteristics become more and more prerequisites in...

Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called ``aha! solutions,'' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty...

Recent studies have shown that novel processing and modeling techniques may be used to create patient-specific prostheses, artificial tissues, and other implants using data obtained from magnetic resonance imaging, computed tomography, or other imaging techniques. For example, customized prostheses may be fabricated that possess suitable...

The book – based on the corresponding graduate course the author held at Clemson University, South Carolina – is a comprehensive, practically oriented presentation of the vehicle development processes. Based on the key question of the product strategy ("Which factors guarantee the product development’s success?") it...

This delightful book considers and solves many problems in dividing...

The realistic generation of virtual doubles of real-world actors has been the focus of computer graphics research for many years. However, some problems still remain unsolved: it is still time-consuming to generate character animations using the traditional skeleton-based pipeline, passive performance capture of human actors wearing arbitrary...

This book aims to develop a reader’s thorough understanding of the opportunities and challenges of k-covered wireless sensor networks, where each point in a deployment field is covered (or sensed) by at least k sensors. Following René Descartes’ most elegant methodology of dividing each difficulty into as many parts as might...