This book is directed toward the numerical integration (solution) of a system of partial differential equations (PDEs) that describes a combination of chemical reaction and diffusion, that is, reaction-diffusion PDEs.
Connections between genes and molecules, neurons and hormones, thinking and language, people and organizations create a continuous flow of synchronized interactions.
The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc.
Around the globe, there is an increasingly urgent need to provide opportunities for learners to embrace complexity; to develop the many skills and habits of mind that are relevant to today's complex and interconnected world; and to make learning more connected to our rapidly changing workplace and society.
Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems.
In addition to its further exploration of the subject of peacocks, introduced in recent Seminaires de Probabilites, this volume continues the series' focus on current research themes in traditional topics such as stochastic calculus, filtrations and random matrices.
This sixth volume of the book series applies finite injury priority method to R-calculi and obtain (in)completeness theorem for binary-valued, Post three-valued, B2^2-valued and L4-valued first-order logics, and extend the method to infinite injury priority method and 0"e;-method for default logic to produce pseudo-extensions of a default theory, corresponding to different R-calculi.
This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering.
Focusing on recent developments in the field, American-Style Derivatives provides an extensive treatment of option pricing with emphasis on the valuation of American options on dividend-paying assets.
Sinai's book leads the student through the standard materialfor ProbabilityTheory, with stops along the way forinteresting topics such as statistical mechanics, notusually included in a book for beginners.
Integrating concepts from deep learning, machine learning, and artificial neural networks, this highly unique textbook presents content progressively from easy to more complex, orienting its content about knowledge transfer from the viewpoint of machine intelligence.
Auf der Jagd nach dem Mörder im eigenen Körper …In der Zukunft hat man das Problem der explosionsartig angestiegenen Bevölkerung gelöst: Die Lebenszeit wird begrenzt, und die Menschen müssen sich frühzeitig für eine von vier Existenzformen entscheiden – zum Beispiel für einen Gemeinschaftskörper.
Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion.
On October 16 and 17, 2000, we hosted an international workshop entitled "e;Statistical Design, Measurement, and Analysis of Health Related Quality of Life.
Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type.
When elementary courses in discrete and combinatorial mathematics first became popular, they usually covered a broad spectrumofpure and applied topics.
Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics.
The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations.
This text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems.
Artificial "e;neural networks"e; are widely used as flexible models for classification and regression applications, but questions remain about how the power of these models can be safely exploited when training data is limited.
HVAC Water Chillers and Cooling Towers: Fundamentals, Application, and Operation, Second Edition explores the major improvements in recent years to many chiller and cooling tower components that have resulted in improved performance and lower operating costs.
This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves.
The interdisciplinary subject of random heterogeneous materials has experienced remarkable growth since the publication of the well-known monograph Statistical Con- tinuum Theories by Beran ( 1968).