LEADER 03958nam 22006615 450 001 9910300549503321 005 20200704115506.0 010 $a3-662-55490-9 024 7 $a10.1007/978-3-662-55490-6 035 $a(CKB)4100000001795138 035 $a(DE-He213)978-3-662-55490-6 035 $a(MiAaPQ)EBC5579413 035 $a(PPN)223953180 035 $a(EXLCZ)994100000001795138 100 $a20180120d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMechanics $eFrom Newton's Laws to Deterministic Chaos /$fby Florian Scheck 205 $a6th ed. 2018. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2018. 215 $a1 online resource (XVII, 591 p. 175 illus.) 225 1 $aGraduate Texts in Physics,$x1868-4513 311 $a3-662-55488-7 327 $aElementary Newtonian Mechanics -- The Principles of Canonical Mechanics -- The Mechanics of Rigid Bodies -- Relativistic Mechanics -- Geometric Aspects of Mechanics -- Stability and Chaos -- Continuous Systems -- Exercises -- Solution of Exercises -- Appendix. 330 $aThis book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present 6th edition is updated and revised with more explanations, additional examples and problems with solutions, together with new sections on applications in science.   Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics.   The book contains more than 150 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics. 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aMechanics 606 $aMechanics, Applied 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aDynamics 606 $aErgodic theory 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aClassical Mechanics. 615 24$aTheoretical and Applied Mechanics. 615 24$aApplications of Mathematics. 615 24$aDynamical Systems and Ergodic Theory. 676 $a530.15 700 $aScheck$b Florian$4aut$4http://id.loc.gov/vocabulary/relators/aut$042581 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300549503321 996 $aMechanics$9349204 997 $aUNINA