LEADER 03666nam 22006735 450 001 9910483997103321 005 20250610110622.0 010 $a3-030-04275-8 024 7 $a10.1007/978-3-030-04275-2 035 $a(CKB)4100000007204669 035 $a(MiAaPQ)EBC5611934 035 $a(DE-He213)978-3-030-04275-2 035 $a(PPN)243770871 035 $a(MiAaPQ)EBC29082111 035 $a(EXLCZ)994100000007204669 100 $a20181206d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a3D Motion of Rigid Bodies $eA Foundation for Robot Dynamics Analysis /$fby Ernesto Olguín Díaz 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (488 pages) 225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v191 311 08$a3-030-04274-X 327 $aMathematic Foundations -- Classical Mechanics -- Rigid Motion -- Attitude Representations -- Dynamics of a Rigid Body -- Spacial Vectors Approach -- Lagrangian Formulation -- Model reduction under motion constraint. 330 $aThis book offers an excellent complementary text for an advanced course on the modelling and dynamic analysis of multi-body mechanical systems, and provides readers an in-depth understanding of the modelling and control of robots. While the Lagrangian formulation is well suited to multi-body systems, its physical meaning becomes paradoxically complicated for single rigid bodies. Yet the most advanced numerical methods rely on the physics of these single rigid bodies, whose dynamic is then given among multiple formulations by the set of the Newton?Euler equations in any of their multiple expression forms. This book presents a range of simple tools to express in succinct form the dynamic equation for the motion of a single rigid body, either free motion (6-dimension), such as that of any free space navigation robot or constrained motion (less than 6-dimension), such as that of ground or surface vehicles. In the process, the book also explains the equivalences of (and differences between) the different formulations. 410 0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v191 606 $aComputational intelligence 606 $aRobotics 606 $aAutomation 606 $aVibration 606 $aDynamics 606 $aDynamics 606 $aAutomatic control 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aRobotics and Automation$3https://scigraph.springernature.com/ontologies/product-market-codes/T19020 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 615 0$aComputational intelligence. 615 0$aRobotics. 615 0$aAutomation. 615 0$aVibration. 615 0$aDynamics. 615 0$aDynamics. 615 0$aAutomatic control. 615 14$aComputational Intelligence. 615 24$aRobotics and Automation. 615 24$aVibration, Dynamical Systems, Control. 615 24$aControl and Systems Theory. 676 $a629.892 676 $a629.892 700 $aOlguín Díaz$b Ernesto$4aut$4http://id.loc.gov/vocabulary/relators/aut$01229584 906 $aBOOK 912 $a9910483997103321 996 $a3D Motion of Rigid Bodies$92854122 997 $aUNINA LEADER 04521nam 22006135 450 001 9910254573103321 005 20251116182843.0 010 $a3-319-56666-0 024 7 $a10.1007/978-3-319-56666-5 035 $a(CKB)3710000001418540 035 $a(MiAaPQ)EBC4894904 035 $a(DE-He213)978-3-319-56666-5 035 $a(PPN)202991598 035 $a(EXLCZ)993710000001418540 100 $a20170630d2017 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aSymmetries and integrability of difference equations $electure notes of the Abecederian school of SIDE 12, Montreal 2016 /$fedited by Decio Levi, Raphaël Rebelo, Pavel Winternitz 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (435 pages) 225 1 $aCRM Series in Mathematical Physics 311 08$a3-319-56665-2 320 $aIncludes bibliographical references and index. 327 $aChapter 1. Continuous, Discrete and Ultradiscrete Painlevé Equations -- Chapter 2. Elliptic Hypergeometric Functions -- Chapter 3. Integrability of Difference Equations through Algebraic Entropy and Generalized Symmetries -- Chapter 4. Introduction to Linear and Nonlinear Integrable Theories in Discrete Complex Analysis -- Chapter 5. Discrete Integrable Systems, Darboux Transformations and Yang?Baxter Maps -- Chapter 6. Symmetry-Preserving Numerical Schemes -- Chapter 7. Introduction to Cluster Algebras -- Chapter 8. An Introduction to Difference Galois Theory -- Chapter 9. Lectures on Quantum Integrability: Lattices, Symmetries and Physics. 330 $aThis book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peer-reviewed chapters in this volume serves as a self-contained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers. 410 0$aCRM Series in Mathematical Physics 606 $aPhysics 606 $aDifference equations 606 $aFunctional equations 606 $aAlgebra 606 $aField theory (Physics) 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051 615 0$aPhysics. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aAlgebra. 615 0$aField theory (Physics) 615 14$aNumerical and Computational Physics, Simulation. 615 24$aDifference and Functional Equations. 615 24$aField Theory and Polynomials. 676 $a515.35 702 $aLevi$b D$g(Decio),$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRebelo$b Raphaël$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWinternitz$b Pavel$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910254573103321 996 $aSymmetries and integrability of difference equations$9242391 997 $aUNINA