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Matters Computational
This book provides algorithms and ideas for computationalists. Subjects treated include low-level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier transform, and fast arithmetic for both real numbers and finite fields. Various optimization techniques are described and the actual performance of many given implementations is examined. The focus is on material that does not usually appear in textbooks on algorithms. The implementations are done in C++ and the GP language, written for POSIX-compliant platforms such as the Linux and BSD operating systems.
Pi - Unleashed
In the 4,000-year history of research into Pi, results have never been as prolific as present. This book describes, in easy-to-understand language, the latest and most fascinating findings of mathematicians and computer scientists in the field of Pi. Attention is focused on new methods of high-speed computation.
Spiritual Needs in Research and Practice
Based on information gathered from the internationally used Spiritual Needs Questionnaire, this book offers analyses of the spiritual and existential needs among different groups of people such as the chronically ill, elderly, adolescents, mothers of sick children, refugees, patients' relatives, and others. The theoretical background, specific empirical findings and the relevance of addressing spiritual needs is discussed by experts from different professions and cultural contexts. Supporting a person's spiritual needs remains an important task of future healthcare systems that wish to more comprehensively care for the healthcare needs of patients, and of religious communities to ensure that spiritual concerns of all persons, independent of their religious orientations, are met in and outside healthcare settings.
Infinite Sequences and Series
Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.
Modern Computer Arithmetic
Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favourite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions to selected exercises are available from the authors.
Unsteady Combustor Physics
Developing clean, sustainable energy systems is a pre-eminent issue of our time. Most projections indicate that combustion-based energy conversion systems will continue to be the predominant approach for the majority of our energy usage. Unsteady combustor issues present the key challenge associated with the development of clean, high-efficiency combustion systems such as those used for power generation, heating or propulsion applications. This comprehensive study is unique, treating the subject in a systematic manner. Although this book focuses on unsteady combusting flows, it places particular emphasis on the system dynamics that occur at the intersection of the combustion, fluid mechanics and acoustic disciplines. Individuals with a background in fluid mechanics and combustion will find this book to be an incomparable study that synthesises these fields into a coherent understanding of the intrinsically unsteady processes in combustors.
Molecular Clusters of the Main Group Elements
With more than 20 contributions from leading research groups, this book provides essential information for chemists and materials scientists working with molecular clusters. It treats both homonuclear and heteronuclear clusters, including: the theory and concepts in main-group cluster chemistry, * novel boranes and heteroboranes, * silicon/germanium/tin clusters, * alkali metal suboxides, * clusters in alloys with mercury, * chalkogen clusters * and numerous other compound classes. The whole is illustrated by examples of the great potential for technical applications such as electron storage, cancer therapy and in optoelectronic devices. Its systematic coverage of all relevant main group elements makes this the prime reference source in the field.
The Family Tree of Fractal Curves
This book explains a taxonomy of plane-filling curves (fractal curves with a fractal dimension of 2). it includes the classic fractal curves described in Mandelbrot's original book. Many new fractal curves are introduced. The taxonomy is based upon the Gaussian integers and the Eisenstein integers - each forming a lattice (square and triangular). These lattices have algebraic properties, which allows number theory to be used in describing and classifying these curves. This work has been under development for over 30 years. An earlier version of this taxonomy is described in the book ""Brain-filling Curves"", also by Jeffrey Ventrella. More on plane-filling curves can be found at fractalcurves.com
From Local Patriotism to a Planetary Perspective
The Nördlinger Ries and Steinheim Basin, two conspicuous geological structures in southern Germany, were traditionally viewed as somewhat enigmatic but nevertheless definitely volcanic edifices until they were finally recognized as impact craters in the 1960s. The changing views about the origin of the craters mark an important paradigm shift in the Earth sciences, from an Earth-centric approach to a planetary perspective that acknowledged Earth’s place in the wider cosmos. Drawing on a range of printed sources, detailed archival material, letters, personal notes, and interviews with veterans of Ries research, Martina Kölbl-Ebert provides a detailed reconstruction, not only of the histor...
Math for the Digital Factory
This volume provides a unique collection of mathematical tools and industrial case studies in digital manufacturing. It addresses various topics, ranging from models of single production technologies, production lines, logistics and workflows to models and optimization strategies for energy consumption in production. The digital factory represents a network of digital models and simulation and 3D visualization methods for the holistic planning, realization, control and ongoing improvement of all factory processes related to a specific product. In the past ten years, all industrialized countries have launched initiatives to realize this vision, sometimes also referred to as Industry 4.0 (in E...
