04091nam 2200505 450 99649517110331620230417104023.0981-19-4793-7(MiAaPQ)EBC7105506(Au-PeEL)EBL7105506(CKB)24978817500041(PPN)265862345(EXLCZ)992497881750004120230304d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIntegral calculus for engineers /Gavril Păltineanu, Ileana Bucur, Mariana ZamfirGateway East, Singapore :Springer,[2022]©20221 online resource (263 pages)Print version: Paltineanu, Gavriil Integral Calculus for Engineers Singapore : Springer,c2022 9789811947926 Includes bibliographical references and index.Intro -- Preface -- Contents -- 1 Indefinite Integrals -- 1.1 The Notion of Primitive Function (Antiderivative) of a Function -- 1.2 Basic Properties of Indefinite Integrals -- 1.3 Primitives of Rational Functions -- 1.4 Primitives of Trigonometric Functions -- 1.5 Primitives of Irrational Functions. Binomial Integrals -- 2 Definite Integrals -- 2.1 Area of a Curvilinear Trapezoid -- 2.2 Darboux Sums. Definition of Definite Integral -- 2.3 Integrability of Continuous and Monotonic Functions -- 2.4 Riemann Sums. Riemann Criterion for Integrability -- 2.5 Lebesgue Criterion for Integrability -- 2.6 Properties of Integrable Functions -- 2.7 Area of a Plane Figure -- 2.8 Approximating Definite Integral -- 3 Improper Integrals -- 3.1 Convergence and Divergence of Improper Integrals -- 3.2 Convergence Criteria for Improper Integrals -- 4 Integrals Depending on Parameter -- 4.1 Proper Integrals Depending on a Parameter -- 4.2 Improper Integrals Depending on a Parameter -- 4.3 Euler Integrals -- 5 Line Integrals -- 5.1 Parameterized Paths. Definition of a Curve -- 5.2 Rectifiable Paths and Curves -- 5.3 Natural Parameterization of a Curve -- 5.4 Line Integrals of the First Kind -- 5.5 Line Integrals of the Second Kind -- 5.6 Independence on the Path of Line Integral of the Second Kind -- 6 Double and Triple Integrals -- 6.1 Double Integral. Definition and Properties -- 6.2 Basic Properties of the Double Integral -- 6.3 Reducing a Double Integral to an Iterated Single Integral -- 6.4 Change of Variables in Double Integral -- 6.5 Applications of the Double Integral in Geometry and Mechanics -- 6.5.1 Mass of a Lamina -- 6.5.2 Coordinates of the Center of Mass of a Lamina -- 6.5.3 Moments of Inertia of a Lamina -- 6.6 Riemann-Green Formula -- 6.7 Improper Double Integrals -- 6.8 Volume of a Space Figure.6.9 Triple Integrals. Definition and Basic Properties -- 6.10 Computing Triple Integral. Change of Variables in Triple Integral -- 6.11 Applications of the Triple Integral in Geometry and Mechanics -- 6.11.1 Volume of a Space Domain -- 6.11.2 Mass of a Solid -- 6.11.3 Coordinates of the Center of Mass of a Solid -- 6.11.4 Moment of Inertia of a Solid -- 7 Surface Integrals -- 7.1 Parameterized Surface Canvases. Definition of a Surface -- 7.2 The Area of a Smooth Surface -- 7.3 Surface Integral of the First Kind -- 7.4 Surface Integral of the Second Kind -- 7.5 Integral Formulas -- References -- Index.Calculus, IntegralEngineering mathematicsCàlcul integralthubMatemàtica per a enginyersthubLlibres electrònicsthubCalculus, Integral.Engineering mathematics.Càlcul integralMatemàtica per a enginyers515.43Păltineanu Gavril1252227MiAaPQMiAaPQMiAaPQBOOK996495171103316Integral calculus for engineers3041719UNISA02547nam 2200409z- 450 991034674530332120210211(CKB)4920000000094261(oapen)https://directory.doabooks.org/handle/20.500.12854/41070(oapen)doab41070(EXLCZ)99492000000009426120202102d2018 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierApplications of Novel Analytical Methods in EpidemiologyFrontiers Media SA20181 online resource (109 p.)Frontiers Research Topics2-88945-658-7 The repertoire of quantitative analytical techniques in disciplines such as ecology, decision science, and evolutionary biology has grown, in part enabled by the development and increased availability of computational resources. Integration of cutting-edge, quantitative tools into veterinary epidemiology that have been borrowed from such disciplines has offered opportunities to advance the study of disease dynamics in animal populations, to improve and guide decision-making related to disease prevention, control, or eradication. Furthermore, the need to explore new analytical methods for veterinary epidemiology has been driven by the increasing availability and complexity of animal disease data. The objective of this e-book is to contribute to current methods in epidemiology by 1) presenting and discussing novel analytical tools that help advance our understanding of epidemiology; and 2) demonstrating how inferences emerging from the application of novel analytical tools can be incorporated into decision-making related to animal health. The e-book constitutes a collection of articles that explore the applications of a variety of analytical methods such as machine learning, Bayesian risk assessment and an advanced form of social network analysis in the modern epidemiologic study of animal diseases.MedicinebicsscDecision Makingdisease surveillanceRisk Assessmentsocial network analysisSpatial EpidemiologyMedicineMoh A. Alkhamisauth1317904Victoria J. BrookesauthKimberly VanderWaaauthBOOK9910346745303321Applications of Novel Analytical Methods in Epidemiology3033074UNINA