001441916 000__ 04744cam\a2200541Ii\4500
001441916 001__ 1441916
001441916 003__ OCoLC
001441916 005__ 20230309003349.0
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001441916 019__ $$a1302011434$$a1303082100
001441916 020__ $$a9783030885755$$q(electronic bk.)
001441916 020__ $$a3030885755$$q(electronic bk.)
001441916 020__ $$z9783030885748
001441916 020__ $$z3030885747
001441916 0247_ $$a10.1007/978-3-030-88575-5$$2doi
001441916 035__ $$aSP(OCoLC)1303266198
001441916 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dN$T$$dUKAHL$$dOCLCQ$$dAUD
001441916 0411_ $$aeng$$hfre
001441916 049__ $$aISEA
001441916 050_4 $$aQA275
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001441916 1001_ $$aBouleau, Nicolas,$$eauthor.$$1https://isni.org/isni/0000000109174478
001441916 24010 $$aThéorie des erreurs.$$lEnglish
001441916 24514 $$aThe mathematics of errors /$$cNicolas Bouleau.
001441916 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001441916 300__ $$a1 online resource (1 volume) :$$billustrations (black and white).
001441916 336__ $$atext$$btxt$$2rdacontent
001441916 337__ $$acomputer$$bc$$2rdamedia
001441916 338__ $$aonline resource$$bcr$$2rdacarrier
001441916 504__ $$aIncludes bibliographical references and index.
001441916 5050_ $$aI. Error computations a la Gauss -- 1. The different approaches -- 2. Finite dimensional examples -- 3. An intuitive introduction to error structures -- 4. Weakly and strongly random errors -- II. Probabilistic and Functional Models -- 5. Strongly continuous semi-groups and Dirichlet forms -- 6. Error structures -- 7. Images and products of error structures -- 8. The gradient and the sharp and other calculation tools -- 9. Error structures on fundamental spaces -- III. The subtleness of the notion of bias -- 10. Approximation and bias operators -- 11. Computations and simulation methods -- IV. Error structures and its applications -- 12. Statistical identification of error structures -- 13. The instantaneous structure of a stochastic process -- 14. Models inspired by finance -- 15. Examples in Physics -- 16. The principle of arbitrary functions and error structures -- V. Historical elements and research themes -- 17. Error calculations from Gauss and Laplace -- 18. Extensions and open questions -- Hints for exercises -- Pedagogical References -- Chronological Bibliography.
001441916 506__ $$aAccess limited to authorized users.
001441916 520__ $$aThe Mathematics of Errors presents an original, rigorous and systematic approach to the calculus of errors, targeted at both the engineer and the mathematician. Starting from Gauss's original point of view, the book begins as an introduction suitable for graduate students, leading to recent developments in stochastic analysis and Malliavin calculus, including contributions by the author. Later chapters, aimed at a more mature audience, require some familiarity with stochastic calculus and Dirichlet forms. Sensitivity analysis, in particular, plays an important role in the book. Detailed applications in a range of fields, such as engineering, robotics, statistics, financial mathematics, climate science, or quantum mechanics are discussed through concrete examples. Throughout the book, error analysis is presented in a progressive manner, motivated by examples and appealing to the readers intuition. By formalizing the intuitive concept of error and richly illustrating its scope for application, this book provides readers with a blueprint to apply advanced mathematics in practical settings. As such, it will be of immediate interest to engineers and scientists, whilst providing mathematicians with an original presentation. Nicolas Bouleau has directed the mathematics center of the Ecole des Ponts ParisTech for more than ten years. He is known for his theory of error propagation in complex models. After a degree in engineering and architecture, he decided to pursue a career in mathematics under the influence of Laurent Schwartz. He has also written on the production of knowledge, sustainable economics and mathematical models in finance. Nicolas Bouleau is a recipient of the Prix Montyon from the French Academy of Sciences.
001441916 588__ $$aDescription based on print version record.
001441916 650_0 $$aError analysis (Mathematics)
001441916 650_0 $$aStochastic analysis.
001441916 650_6 $$aThéorie des erreurs.
001441916 650_6 $$aAnalyse stochastique.
001441916 655_0 $$aElectronic books.
001441916 77608 $$iPrint version:$$aBouleau, Nicolas.$$tMathematics of errors.$$dCham : Springer, 2022$$z9783030885748$$w(OCoLC)1295102823
001441916 852__ $$bebk
001441916 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-88575-5$$zOnline Access$$91397441.1
001441916 909CO $$ooai:library.usi.edu:1441916$$pGLOBAL_SET
001441916 980__ $$aBIB
001441916 980__ $$aEBOOK
001441916 982__ $$aEbook
001441916 983__ $$aOnline
001441916 994__ $$a92$$bISE