A comprehensive, self-contained primer on validated numericsThis textbook provides a comprehensive introduction to the theory and practice of validated numerics, an emerging new field that combines the strengths of scientific computing and pure mathematics.
Phase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas.
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick.
The@ first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC).
Hailed by the Washington Post as "e;a sure-footed and witty guide to slippery ethical terrain,"e; a philosophical exploration of AI and the future of the mind that Astronomer Royal Martin Rees calls "e;profound and entertaining"e;Humans may not be Earth's most intelligent beings for much longer: the world champions of chess, Go, and Jeopardy!
Two pioneering anthropologists reveal how complexity science can help us better understand how societies change over timeOver the past two decades, anthropologist J.
The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications.
Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers.
Since the publication of the first edition of this classic textbook over thirty years ago, tens of thousands of students have used A Course in Probability Theory.
En 1776, Laplace afirmaba que si se conociera la velocidad y posición de todas las partículas del universo en un momento determinado, se podría conocer su pasado y predecir su futuro con certeza.
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.
"El Problema de Complementariedad No Lineal, que en algunos contextos es sinónimo de sistema en equilibrio, ha despertado el interés de muchos investigadores por sus numerosas aplicaciones en Ciencias, Ingeniería y Economía.
Es de suma importancia la formación de profesores de matemáticas en el área de tecnologías digitales, y es igualmente importante la manera como se adelanta esta formación.
La esencia del texto está en intentar comunicar de la manera más amigable posible, sin perder rigurosidad, un conjunto de técnicas que amplían las ideas generales del análisis de regresión.
El principal objetivo de este libro, dedicado a la enseñanza de las matemáticas en el área de la ingeniería del petróleo, es ofrecer a los estudiantes y docentes material de apoyo didáctico que integre tanto la física de los problemas de estudio como las técnicas matemáticas necesarias para resolverlos.
Con este libro se pretende proporcionar el material para un curso completo a los estudiantes de las distintas ramas de la Ciencia, de la Técnica y de la Ingeniería.
Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine.
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods.
Der Sammelband überträgt fachdidaktische Forschungserkenntnisse zu mathematischen Anwendungen und Modellierungen in Handlungsempfehlungen für den Mathematikunterricht.
Der Würfel ist gefallenErstaunliches, Faszinierendes, Skurriles und mitunter auch Mystisches rund um diesen besonderen Spielwürfel zeigt der Autor dem Leser in diesem Buch.
Der Würfel ist gefallenErstaunliches, Faszinierendes, Skurriles und mitunter auch Mystisches rund um diesen besonderen Spielwürfel zeigt der Autor dem Leser in diesem Buch.
Bringing the concepts of dimensional analysis, self-similarity, and fractal dimensions together in a logical and self-contained manner, this book reveals the close links between modern theoretical physics and applied mathematics.
Bringing the concepts of dimensional analysis, self-similarity, and fractal dimensions together in a logical and self-contained manner, this book reveals the close links between modern theoretical physics and applied mathematics.
Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinarytask, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience,computer science, and applied mathematics, to provide their perspectives.
Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinarytask, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience,computer science, and applied mathematics, to provide their perspectives.
This practical guide covers the essential tasks in statistical data analysis encountered in high energy physics and provides comprehensive advice for typical questions and problems.
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail.
