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Fundamentals of Mathematical Evolutionary Genetics
One service mathematics has rendered the ~Et moi ..., si j'avait su comment en revenir, human race. It has put common sense back je riy serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. o'; 'One service logic has rendered com puter science .. o'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Reliability Problems: General Principles and Applications in Mechanics of Solids and Structures
The aim of this volume is to present to researchers and engineers working on problems concerned with the mechanics of solids and structures, the current state of the development and application to procedures for assessing the reliability of a system. Particular attention is paid to their use in the analysis of complex engineering systems. The topics covered reflect the need to integrate, within the overall methodology, statistical methods for dealing with uncertain parameters and random excitation with the development of a suitable safety indexes and design codes. The basic principles of reliability theory, together with current standard methodology, including a consideration of the operational, economic and legal aspects of reliability assurance, is reviewed, together with an introduction to new developments, such as the application of expert systems technology. Damage accumulation predictions, with applications in seismic engineering are also covered.
Finite Element Methods for Structures with Large Stochastic Variations
The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.
Mathematical Foundations for Design
Text develops typical mathematical techniques of operations research and systems engineering and applies them to design and operation of civil engineering systems. Solutions to selected problems; solution guide available upon request. 1972 edition.
The Challenge of Creation
The Challenge of Creation is a completely revised and vastly expanded edition of The Science Of Torah. That work was widely hailed as the best book of its kind for its honesty and thoroughness of approach. The Challenge of Creation builds upon its approach, covering more issues and in greater depth. Carefully, methodically, and eschewing sensationalistic or dogmatic claims in favor of reasoned analysis, it shows how some of the greatest Jewish thinkers explained Judaism and Genesis in a way that complements modern science rather than conflicts with it. The Challenge of Creation is an invaluable resource for anyone grappling with conflicts between science and religion. It is a profound work that is sure to become a classic
Applied Probability
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NASA Technical Paper
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Reliability and Statistics in Geotechnical Engineering
Risk and reliability analysis is an area of growing importance in geotechnical engineering, where many variables have to be considered. Statistics, reliability modeling and engineering judgement are employed together to develop risk and decision analyses for civil engineering systems. The resulting engineering models are used to make probabilistic predictions, which are applied to geotechnical problems. Reliability & Statistics in Geotechnical Engineering comprehensively covers the subject of risk and reliability in both practical and research terms * Includes extensive use of case studies * Presents topics not covered elsewhere--spatial variability and stochastic properties of geological materials * No comparable texts available Practicing engineers will find this an essential resource as will graduates in geotechnical engineering programmes.
Applied Civil Engineering Risk Analysis
This updated edition retains its introduction to applied fundamental statistics, probability, reliability, and decision theory as these pertain to problems in Civil Engineering. The new edition adds an expanded treatment of systems reliability, Bayesian methods, and spatial variabililty, along with additional example problems throughout. The book provides readers with the tools needed to determine the probability of failure, and when multiplied by the consequences of failure, illustrates how to assess the risk of civil engineering problems. Presenting methods for quantifying uncertainty that exists in engineering analysis and design, with an emphasis on fostering more accurate analysis and design, the text is ideal for students and practitioners of a range of civil engineering disciplines. Expands on the class-tested pedagogy from the first edition with more material and more examples; Broadens understanding with simulations coded both in Matlab and in R; Features new chapters on spatial variability and Bayesian methods; Emphasizes techniques for estimating the influence of uncertainty on the probability of failure
Reliability-based Structural Design
This book provides readers with an understanding of the fundamentals and applications of structural reliability, stochastic finite element method, reliability analysis via stochastic expansion, and optimization under uncertainty. It examines the use of stochastic expansions, including polynomial chaos expansion and Karhunen-Loeve expansion for the reliability analysis of practical engineering problems.
