,This textbook &mdash, incorporated with many illuminating examples and exercises &mdash, is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors', emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation &mdash, by a pure mathematician',s standards &mdash, is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and phenomena such as caustics._,

 ,This book contains MATLAB programs to demonstrate the numerical algorithms, the analytical approaches, and the physical principles. It starts with single particle, single fluid, and single wave, then the kinetic theory, the transport, the magnetohydrodynamics, and the nonlinear physics.The book emphasizes on the numerical algorithm and the analytical asymptology to tackle problems in plasma physics, and to demonstrate the underlying physics principles by graphical visualization. Students are introduced to the multiple time and multiple space scales as they learn the basic plasma phenomena, and are requested to solve problems with either MATLAB or C++.This book is targetting at the senior and graduate level. The emphasis of this book is to teach students to solve problems from the features and characteristics of the problem itself. It provides the students for the most important learning that is not knowing the solution, but knowing how to figure out the solution._,

 ,This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new ',Age of Discovery', paling all prior ages in the historical progression

The second edition of this textbook provides a fully updated approach to fuzzy sets and systems that can model uncertainty i e type 2 fuzzy sets and systems The author demonstrates how to overcome the limitations of classical fuzzy sets and systems enabling a wide range of applications from time series forecasting to knowledge mining to control In this new edition a bottom up approach is presented that begins by introducing classical type 1 fuzzy sets and systems and then explains how they can be modified to handle uncertainty The author covers fuzzy rule based systems from type 1 to interval type 2 to general type 2 in one volume For hands on experience the book provides information on accessing MatLab and Java software to complement the content The book features a full suite of classroom material

Esta obra pretende reforzar las bases teóricas del lector en el área del tratamiento de aguas residuales y enseñarle a utilizar una herramienta computacional moderna y de fácil manejo: el Matlab. Su objetivo es actualizar y facilitar el trabajo matematico relacionado con los datos y procedimientos utilizados en dicha area. Se intenta enseñar a operar con datos teoricos y experimentales segun las condiciones y necesidades de proyectos reales, a fin de obtener un diseño optimo del sistema de tratamiento de aguas residuales con la menor inversion de tiempo posible. Para ello, se abordan los conceptos teoricos mas importantes de los diferentes procesos expuestos, pero con la finalidad de que el lector entienda las nociones y ecuaciones basicas, en lugar de retenerlas de forma aislada de todo contexto. Tambien se enseña a realizar simulaciones y a visualizar los efectos de la variacion de los parametros de operacion: con ello se adquiere una mejor comprension tanto de esos conceptos teoricos como de los procesos. Los problemas y ejercicios presentados se resuelven con Matlab, desarrollando paso a paso las soluciones y simulaciones, con explicaciones muy detalladas sobre la funcion de cada uno de los comandos. Se espera que el lector logre detectar las distintas relaciones entre variables y pueda plantear y elaborar sus propios programas.