http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
concepts and uncertainty analysis for engineers and scientists
"This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will serve to be a benchmark book for graduate & postgraduate students, teachers, engineers and researchers throughout the globe. In view of the recent developments in nuclear engineering, it is important to study the basic concepts of this field along with the diffusion processes for nuclear reactor design. Also, it is known that uncertainty is a must in every field of engineering and science and, in particular, with regards to nuclear-related problems. As such, one may need to understand the nuclear diffusion principles/theories corresponding with reliable and efficient techniques for the solution of such uncertain problems. Accordingly this book aims to provide a new direction for readers with basic concepts of reactor physics as well as neutron diffusion theory. On the other hand, it also includes uncertainty (in terms of fuzzy, interval, stochastic) and their applications in nuclear diffusion problems in a systematic manner, along with recent developments. The underlying concepts of the presented methods in this book may very well be used/extended to various other engineering disciplines viz. electronics, marine, chemical, mining engineering and other sciences such as physics, chemistry, biotechnology etc. This book then can be widely applied wherever one wants to model their physical problems in terms of non-probabilistic methods viz. fuzzy/stochastic for the true essence of the real problems."--Provided by publisher
Cover; Half Title ; Title Page ; Copyright Page ; Table of Contents ; Preface ; 1 Basic Reactor Principles ; 1.1 Atomic Structure ; 1.2 Binding Energy ; 1.2.1 Calculation of 1 u ; 1.3 Nuclear Reactions ; 1.4 Nuclear Fusion ; 1.5 Radioactivity ; 1.5.1 Rate of Radioactive Decay.
2.2 Rates of Neutron Reactions 2.2.1 Neutron Diffusion Equation ; 2.2.2 Helmholtz Equation ; Bibliography ; 3 Fundamentals of Uncertainty ; 3.1 Probabilistic Uncertainty ; 3.1.1 Elementary Properties of Probability ; 3.1.2 Conditional Probability ; 3.1.2.1 Random Variables.
3.1.2.2 Mean and Variance of a Distribution 3.1.3 Distributions ; 3.2 Binomial Distribution ; 3.3 Poisson Distribution ; 3.4 Normal or Gaussian Distribution ; 3.4.1 Stochastic Differential Equations ; 3.4.1.1 Euler-Maruyama and Milstein Methods ; 3.4.1.1.1 Euler-Maruyama Method.