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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.
The Penguin Dictionary of Curious and Interesting Numbers
Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.
Pi: A Source Book
This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.
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.
Metallurgical Applications of Shock-Wave and High-Strain Rate Phenomena
Emphasizing metallurgical and materials applications of shock-wave and high-strain-rate phenomena, this superb volume presents the work of the leading international authorities who examine the state of the art of explosive and related technologies in the context of metallurgical and materials processing and fabrication.
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...
