04040nam 22007212 450 991077934170332120151005020622.01-139-88768-81-139-56469-21-139-54990-11-139-17583-11-139-55611-81-139-55486-71-139-55241-41-283-74619-01-139-55115-9(CKB)2550000000708469(EBL)989126(OCoLC)818859088(SSID)ssj0000755803(PQKBManifestationID)12257295(PQKBTitleCode)TC0000755803(PQKBWorkID)10749532(PQKB)10170806(UkCbUP)CR9781139175838(MiAaPQ)EBC989126(Au-PeEL)EBL989126(CaPaEBR)ebr10621716(CaONFJC)MIL405869(PPN)261358154(PPN)175329974(EXLCZ)99255000000070846920111014d2012|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierGames and mathematics subtle connections /David Wells[electronic resource]Cambridge :Cambridge University Press,2012.1 online resource (x, 246 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-02460-9 1-107-69091-9 Includes bibliographical references and index.Machine generated contents note: Introduction; Part I. Mathematical recreations and abstract games: 1. Recreations from Euler to Lucas; 2. Four abstract games; 3. Mathematics and games: mysterious connections; 4. Why chess is not mathematics; 5. Proving versus checking; Part II. Mathematics: game-like, scientific and perceptual: 6. Game-like mathematics; 7. Euclid and the rules of his geometrical game; 8. New concepts and new objects; 9. Convergent and divergent series; 10. Mathematics becomes game-like; 11. Maths as science; 12. Numbers and sequences; 13. Computers and mathematics; 14. Mathematics and the sciences; 15. Minimum paths from Heron to Feynmann; 16. The foundations: perception, imagination and insight; 17. Structure; 18. Hidden structure, common structure; 19. Mathematics and beauty; 20. Origins: formality in the everyday world; Bibliography; Index.The appeal of games and puzzles is timeless and universal. In this unique book, David Wells explores the fascinating connections between games and mathematics, proving that mathematics is not just about tedious calculation but imagination, insight and intuition. The first part of the book introduces games, puzzles and mathematical recreations, including knight tours on a chessboard. The second part explains how thinking about playing games can mirror the thinking of a mathematician, using scientific investigation, tactics and strategy, and sharp observation. Finally the author considers game-like features found in a wide range of human behaviours, illuminating the role of mathematics and helping to explain why it exists at all. This thought-provoking book is perfect for anyone with a thirst for mathematics and its hidden beauty; a good high school grounding in mathematics is all the background that is required, and the puzzles and games will suit pupils from 14 years.Games & MathematicsGamesMathematical modelsMathematical recreationsMathematicsPsychological aspectsGamesMathematical models.Mathematical recreations.MathematicsPsychological aspects.510MAT000000bisacshWells D. G(David G.),729357UkCbUPUkCbUPBOOK9910779341703321Games and mathematics3726171UNINA05516nam 2200685 a 450 991083070680332120170815103054.01-118-59986-11-118-59993-41-118-59997-71-299-18732-3(CKB)2550000001005877(EBL)1124318(SSID)ssj0000834363(PQKBManifestationID)11462226(PQKBTitleCode)TC0000834363(PQKBWorkID)10980653(PQKB)10304807(MiAaPQ)EBC1124318(OCoLC)828298971(CaSebORM)9781118599860(PPN)250184621(EXLCZ)99255000000100587720100310d2010 uy 0engur|n|---|||||txtccrUnmanned aerial vehicles[electronic resource] embedded control /edited by Rogelio Lozano1st editionLondon ISTE ;Hoboken, N.J. Wileyc20101 online resource (346 p.)ISTE"Adapted from Objets volants miniatures : modelisation et commande embarquee published 2007."1-84821-127-9 Includes bibliographical references and index.Cover; Unmanned Aerial Vehicles; Title Page; Copyright Page; Table of Contents; Chapter 1. Aerodynamic Configurations and Dynamic Models; 1.1. Aerodynamic configurations; 1.2. Dynamic models; 1.2.1. Newton-Euler approach; 1.2.2. Euler-Lagrange approach; 1.2.3. Quaternion approach; 1.2.4. Example: dynamic model of a quad-rotor rotorcraft; 1.3. Bibliography; Chapter 2. Nested Saturation Control for Stabilizing the PVTOL Aircraft; 2.1. Introduction; 2.2. Bibliographical study; 2.3. The PVTOL aircraft model; 2.4. Control strategy; 2.4.1. Control of the vertical displacement y2.4.2. Control of the roll angle θ and the horizontal displacement x2.4.2.1. Boundedness of θ; 2.4.2.2. Boundedness of θ; 2.4.2.3. Boundedness of x; 2.4.2.4. Boundedness of x; 2.4.2.5. Convergence of θ, θ, x and x to zero; 2.5. Other control strategies for the stabilization of the PVTOL aircraft; 2.6. Experimental results; 2.7. Conclusions; 2.8. Bibliography; Chapter 3. Two-Rotor VTOL Mini UAV: Design, Modeling and Control; 3.1. Introduction; 3.2. Dynamic model; 3.2.1. Kinematics; 3.2.2. Dynamics; 3.2.2.1. Forces acting onthe vehicle; 3.2.2.2. Torques acting on the vehicle3.2.3. Model for control analysis3.3. Control strategy; 3.3.1. Altitude control; 3.3.2. Horizontal motion control; 3.3.3. Attitude control; 3.4. Experimental setup; 3.4.1. Onboard flight system (OFS); 3.4.2. Outboard visual system; 3.4.2.1. Position; 3.4.2.2. Optical flow; 3.4.3. Experimental results; 3.5. Concluding remarks; 3.6. Bibliography; Chapter 4. Autonomous Hovering of a Two-Rotor UAV; 4.1. Introduction; 4.2. Two-rotor UAV; 4.2.1. Description; 4.2.2. Dynamic model; 4.2.2.1. Translational motion; 4.2.2.2. Rotational motion; 4.2.2.3. Reduced model; 4.3. Control algorithm design4.4. Experimental platform4.4.1. Real-time PC-control system (PCCS); 4.4.1.1. Sensors and communication hardware; 4.4.2. Experimental results; 4.5. Conclusion; 4.6. Bibliography; Chapter 5. Modeling and Control of a Convertible Plane UAV; 5.1. Introduction; 5.2. Convertible plane UAV; 5.2.1. Vertical mode; 5.2.2. Transition maneuver; 5.2.3. Horizontal mode; 5.3. Mathematical model; 5.3.1. Translation of the vehicle; 5.3.2. Orientation of the vehicle; 5.3.2.1. Euler angles; 5.3.2.2. Aerodynamic axes; 5.3.2.3. Torques; 5.3.3. Equations of motion; 5.4. Controller design; 5.4.1. Hover control5.4.1.1. Axial system5.4.1.2. Longitudinal system; 5.4.1.3. Lateral system; 5.4.1.4. Simulation and experimental results; 5.4.2. Transition maneuver control; 5.4.3. Horizontal flight control; 5.5. Embedded system; 5.5.1. Experimental platform; 5.5.2. Microcontroller; 5.5.3. Inertial measurement unit (IMU); 5.5.4. Sensor fusion; 5.6. Conclusions and future works; 5.6.1. Conclusions; 5.6.2. Future works; 5.7. Bibliography; Chapter 6. Control of Different UAVs with Tilting Rotors; 6.1. Introduction; 6.2. Dynamic model of a flying VTOL vehicle; 6.2.1. Kinematics; 6.2.2. Dynamics6.3. Attitude control of a flying VTOL vehicleThis book presents the basic tools required to obtain the dynamical models for aerial vehicles (in the Newtonian or Lagrangian approach). Several control laws are presented for mini-helicopters, quadrotors, mini-blimps, flapping-wing aerial vehicles, planes, etc. Finally, this book has two chapters devoted to embedded control systems and Kalman filters applied for aerial vehicles control and navigation. This book presents the state of the art in the area of UAVs. The aerodynamical models of different configurations are presented in detail as well as the control strategies which are validated iISTEDrone aircraftAutomatic controlEmbedded computer systemsDrone aircraftAutomatic control.Embedded computer systems.629.132/6629.1326Lozano Rogelio727156Lozano R(Rogelio),1954-727156MiAaPQMiAaPQMiAaPQBOOK9910830706803321Unmanned aerial vehicles3984558UNINA