Version: print (book)
2009, Approx. 5000 p. In 5 volumes, not available separately., Hardcover
ISBN: 978-3-540-68831-0
Due: February 2009
First comprehensive encyclopedia of Science which blends essential historical data together with science proper.
Spanning about 100 generations of great thinkers from Thals to Feynman.
Includes 2070 biographies of famous thinkers and scientists
This milestone extensive work combines the essentials of history * biography,
chronology, political and economic background * with the observations,
theories, principles, laws and equations that constitute the specifics
of science.
The 5000-page Encyclopedia arises from the conviction that the optimal perspective on science is through the lens of history, setting aside traditional divisions of discipline and specialty, and rising above geopolitical boundaries. Reaching from 4,200 BCE to the 21st century CE, the Encyclopedia relates (as the author himself puts it) "not only who did it and when it was done but also precisely what was done."
The author, Ari Ben-Menahem, surveys 100 generations of great thinkers, offering 2070 detailed biographies of scientists, engineers, explorers and inventors, who left their mark on the history of science and technology. The span of coverage is all-encompassing: mathematics, philosophy, logic, physical and environmental sciences (including physics, chemistry, astronomy, earth and space sciences and cosmology), life sciences (biology, medicine, physiology, botany, zoology and biochemistry), associated engineering disciplines, and the social sciences (among them economics, psychology, sociology, anthropology, linguistics and more).
The five-volume Encyclopedia also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy, plus useful tables, figures and photos, and 20 eScience Progress Reportsf detailing scientific setbacks. Interspersed throughout are quotations, gathered from the wit and wisdom of sages, savants and scholars throughout the ages from antiquity to modern times.
Series: Universitext
2009, XX, 450 p., Softcover
ISBN: 978-88-470-1070-3
Due: February 2, 2009
In this text, we introduce the basic concepts for the numerical modelling of partial equation differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also others, such as the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws. Furthermore, we provide numerous physical examples which underlie such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs in the MATLAB language. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in the Appendix. It is therefore suitable for students of bachelor and master courses in scientific disciplines (engineering, mathematics, physics, computational sciences and information science), and recommendable to researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.
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Version: print (book)
2009, Approx. 10000 p. 5000 illus., 3500 in color. In 11 volumes, not available separately., Hardcover
ISBN: 978-0-387-75888-6
Due: April 2009
Assembles for the first time the concepts and tools for analyzing complex systems in a wide range of fields
Serves as an interdisciplinary reference linking fundamental concepts of mathematics and computational sciences to applications in the physical sciences, engineering, biomedicine, economics and the social sciences
Edited by renowned encyclopedia editor Robert A. Meyers
Appeals to audiences from undergraduate students to researchers and practitioners
Reflects the real world by integrating complexity with the deterministic equations and concepts that define matter, energy, and the four forces identified in nature
Encyclopedia of Complexity and Systems Science provides an authoritative single source for understanding and applying the concepts of complexity theory together with the tools and measures for analyzing complex systems in all fields of science and engineering. The science and tools of complexity and systems science include theories of self-organization, complex systems, synergetics, dynamical systems, turbulence, catastrophes, instabilities, nonlinearity, stochastic processes, chaos, neural networks, cellular automata, adaptive systems, and genetic algorithms. Examples of near-term problems and major unknowns that can be approached through complexity and systems science include: The structure, history and future of the universe; the biological basis of consciousness; the integration of genomics, proteomics and bioinformatics as systems biology; human longevity limits; the limits of computing; sustainability of life on earth; predictability, dynamics and extent of earthquakes, hurricanes, tsunamis, and other natural disasters; the dynamics of turbulent flows; lasers or fluids in physics, microprocessor design; macromolecular assembly in chemistry and biophysics; brain functions in cognitive neuroscience; climate change; ecosystem management; traffic management; and business cycles. All these seemingly quite different kinds of structure formation have a number of important features and underlying structures in common. These deep structural similarities can be exploited to transfer analytical methods and understanding from one field to another. This unique work will extend the influence of complexity and system science to a much wider audience than has been possible to date.
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Continued Fractions consists of two volumes EVolume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given.
This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.
Introductory Examples
Basics
Convergence Criteria
Periodic and Limit Periodic Continued Fractions
Numerical Computation of Continued Fractions, Some Continued Fraction Expansions
Readership: Academics, researchers and graduate students in continued fractions.
320pp Pub. date: May 2008
ISBN 978-90-78677-07-9