Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differential equations. Key theorems of modern stochastic analysis (existence and limit theorems for stochastic flows, Freidlin-Wentzell theory, the Stroock-Varadhan support description) can be obtained with dramatic simplifications. Classical...

To many astrophysicists, Stellar P larimetry is a Cinderella subject considered as being so insignificant and, at the same time, being so esoteric as to be ignored and left alone. Others have followed and developed the theme with an enthusiastic passion. There can be no doubt, however, that the study of polarization within Astronomy has a...

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...

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...

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

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...

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...

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...

From prehistoric times, mankind has looked up at the night sky, and puzzled at the changing positions of the stars. How far away they are is a question that has confounded scientists for centuries. Over the last few hundred years, many scientific careers – and considerable resources – have been devoted to measuring their positions...

The subject of calculus of variations is to find optimal solutions to engineering problems where the optimum may be a certain quantity, a shape, or a function. Applied Calculus of Variations for Engineers addresses this very important mathematical area applicable to many engineering disciplines. Its unique,...

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