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The General Theory of Particle Mechanics PDF

296 Pages·2019·8.953 MB·English
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TheG eneraTlh eoroyf ParticMleec hanics TheG eneraTlh eoroyf ParticMleec hanics: A SpecCioaulr se By Alexander YPe.f remov Cambridge Scholars Publishing TheG enerTahle orPya rotfM iecclhea niScpse:cACi OlaIlT Se ByA lexanPdY.ee rf remov Thibso ofki rpsutb li2s0h1e9d CambriSdcgheo lPaurbsl ishing LadSyt epheLnisbornaN reyw,c asutploTeny nNe,E 6 2PA, UK British CLaitbarlaorgyuP iunbgl icDaattiao n in A catalroegcuoefr otdrh ibso oka viasi lfarbotlmhe Be r itLiisbhr ary Copyrigh2t0©1 9A lbeyx anPd.e rY efremov righftotsrh ibso orke serNvoep da.ro tf thbioso k marye pbreo duced, All storeadr etriseyvsatloe rmt ,r ansmitatnefydo ,n n oarn myb eya ns, in in electrmoencihca,n pihcoatlo,c orpeycinogro,dro i tnhge rwwiisteh,o ut thper ipoern nisosfitochnoe p yroiwgnhetr . ISB(N1 01)-:5 275-2711-5 ISB(N1 39)7:8 -1-25721715--9 TABLEO FC ONTENTS ToaCfbo. ln.et. e.n.t.s. ..v. ............................................................................. Preface xii PMaartttPih rceeamllai minaries ...................................................................................................... CIh FaEopxutAcrell rgu esbirvaes1 .............................................................. A1u Ltehcotru'rse 2 ........................................................... 1.M1.a Tneuxatl. 2 .................................................................................. 1.2.C onmupmlbeexr s 20 ...................................................................................... 1D.2m.e1i.f tion 20 ...................................................................... Repotrifhem esuat eng.nii.tn.aa t2r0i yo ns ........................................................................................ Operaadtamdinuiodltn tisio:20pn l ciocmaptairoins on, .......................................... Opoeacfr o camotpniljoeunxg a21t ion ..................... Diocvfoin msu.pim.lob.ene.x r. s.2 23. .................................................. ............................................... Al(gfaeoincbfedonr l muadpm )lb eexr2 s Geiommtsaehcegteotern m iuoopcmffl b ee24x r s ........................................ Pfooolcfrao nmrmau p mlbeexr 24 ............................ Risepmhaenrne 25 .................................................... Quatemions2 7 ............................................................................... 1D.2m.e2i.f tion 28 ................................................................................ Repoqrtfuee uasmneiinottnsa t28i on ........................................................................................ Opceoramadptmdaiuirolatindtnissiidoo:2vp 9nn il,,si icoant ion .................................................. oqfmu iaotnes Aloqgfuie aobtnresam 31 33 .................................................................................. Trgaedroiemtpoeiqrftouie rnaosiatneclesn m tation .................................................................... 34 ....................... vi TablCeo notfen ts 1D.iA3dc.ac cetn.it.cs. .a.n3.d8. .C.o.m.p.e.t.e.n.ce.s. ................................. Eexxtparmlnaead rt nehacottodSiomieo mccneatsnli d oant ions 1.2.1 38 Eexxtparmlnaead rt nehacottodSiomieo mccneatsnli d oant ions ................................................................................................ 1.2.2 Com.p.e.t.e.n.c.e.s4. 2. ......................................................................... ................................................................................................ � 1P0r4aoQ.nbu d.le .es.mt.si. o.n.s4. 2. ........................................................... TypprwiosicbotafllSholeue 1r m1tc.. s.it.2 .oi..4n o.2sn. ................... TyqpuwieaicsntfatSsholiew1 r oce.. ntr.2sis..4 o .18n.. . .................... TypprwiosicbotafllSholeue 1r mt.c. sit.2 oi..5no.20sn. ..................... TyqpuwieaicsntfatSsholiew1 r o.ce.. nt.r.2sis..5 o .22n. .................... CutprerrsfoSetobne1 rltc.. e t.2mi..so.1 n5.. 4.. . .................................. CutprerrsfoSetobne1 rlt.c. e t.2mi..so.2 n.5 .6 ..................................... CutrersfeStone1 rtcq.. tu.2ie..os.1nt5.. i8. o .n.s. ................................ CutrersfeStone1 rt.cq.. tu.2ie..os.2nt6. i0.o .n.s. ................................ Ch2Pa rpSototfefutoird e.uo Qyrn.nnu .dsa. .6.4. ........................................ 2A.u1Lte..hc .ot.ru.'r.se. ..6.4. ...................................................................... VencoftQtoo-aErruti s ninuiosrmtnKtums rela.oiet nn.ie ocnk er aLnedsv byiCom-olfCmsooiQp.frv-a mimc ltut6aal 4w t .i plication Fovraotlimrmfe-iu iallnnutacSniweOdp (el3ri,R c)a tion troaontnQfshs- . efu. on.ri.mt.ast.6 i.7. ................................................ Fovraomrmf-iutliialelnnut acniwedp elri cSaUt(i2o)n troaontnQfshs- . efu. on.ri.mt.ast.7 i.1. ................................................ LbientmtkhawsoeStre fOiea S(cnnUgr3e d(o,Rs 2u) )p s and. .Q.-.v.e.c.t.o7.r4.s . ....................................................................... 2M.aT2n.e.u.x a.tl.. . ....76. ............................................................................ 2T.r2a.onq1tfsu.e ufa .mnOli.imo.tan.st 7 .i7.o .n.s. ................................. Vefocotqtfrhuo miemar o ut nle t.rni.p.7l.7i. c.a.t.i.o.n. .t.a.b.l.e. ........ 2F.o2vnn.ao-t2rqfih.iu ne ama nutclle.etam. iwi7.p o8.ln .i c.a.t.i.o.n. .... Sptriann.os.rf. o.r.m.a.t7.i8.o .n. .......................................................... Vetcortra.omn.ras. tf.i.o.n.s8. 1. ........................................................... ThGee nTehreaoolPfr a yr MteicchlaAenS ipceCsco:iua rls e vii Tlhiens kpasint ndobro reavrmtne awsc8teft3ieo onrn s Saolmpgere ootbvfphrem eeacar mitptacopit ri8er n5sig x ..................... 2Q.u2ba.at3se.im si on 88 ................ Qubaaatinrsetrdeimso as.i tl .oa .nt .i.8o.8n. s. .................................... ........................................................................ Q-tvpheereccaoiftrtnjroomid r- o.sin.:n . v8.a9.r .i.a.n.c.e. .................. 2D.iA3dc.aaCc ncoedtmn. ipt.ces. t .e.n9.c1.e .s. .......................................... Eexxtparmlnaead rt nehacot.odi.mio9.mcn1.eas .nl d. a.t.i.o.n.s. ........ Com.p.e.t.e.n.c.e.s9. 3. ......................................................................... 2P.r4aoQ.nbu d.le .es.mt.si. o.n.s9. 3. ........................................................... Typprwiosicbot.allhl.eu .mt.si. o9.n3.s . ............................................. Tyqpuwieicst.ath.li . oa.nn.ss.9 w.6e. r.s. ............................................ Cutprerrs.oet.bn .lt.e .m.s. 9.8. ............................................................. Cutrers.et.n .tq. u.e.s.1t.0i.0o. n.s. ........................................................ Ch3af peDPtrireeofoQrnfp-a t Nebnieradawts ltii oesns i an MectQhh-aefvn o..eir..ccm .tsa.o t.ri. n1. 0.3. ............................................... 3A.u1Lte.hc otru'rse 103 DfiepfrreoovnfpaQt er-irivataelibc el1tse0o 5r s .............................................................................. Nedwyitnnoa nmQ i-cbsa s1i1s1 ................................ Dyenqiaaunmrar ibtocQiitm -toaefrrntsaa i 1rn1yg1 ........................................................ Sooplfrui aoctn bhiQ lao-esnbmi asns g1i 1s5 ......................... 3M.aT2tne..ux .a.l 117 .................................... 3D.fri2eef.otn1vfht.a Qei r- aaiQbtna-aidbcso l1oine1ns n8 e ction .................................................................................. 3L.o2oc.traf2hol .peti a saz"r,tasa itQimoi-menopt nle irfied" ....... coinptnhiseyn csttieicroapnlr, 1e 1t9a tion Osniremo ptlaet ion 120 ............................................... Tswiromo ptlaet ions1 21 ....................................................................... 3N.e2mw.et3icto.vnhhn a Qaeirn- aiibnaca b1ssl2 ie3s ..................................................................... Eqoufa dtayii anoapnnanrart mr biioiccttlsare ta'irsni gl y ......................... Qr-afme 123 Neewqtituocnhanh Qetia- iasfronian nms1ge 2 5 ......................................................................................... ............................... viii TablCeo notfen ts 3D.ia3dc.aac ncedtn itccso mp1e2t8e nces Eexxtparmlnaead rt nehacot.odi.mio1.mcn2.eas8.nl d. a.t.i.o.n.s. ...... ................................................... Com.p.e.t.e.n.c.e.1s. 2.9. ...................................................................... 3P.r4aoq.nbu d.le .es.mt.si. o.n.s1. 2.9. ......................................................... Typprwiosicbot.allhl.eu .mt.si. o1.n2.s9. ........................................... Tyqpuwieicst.ath.li . oa.nn.ss1. w3.e9.r .s. .......................................... Cutprerrs.oet.bn .lt.e .m.s. 1.4.1. .......................................................... Cutrers.et.n .tq. u.e.s.1t.4i.3o. n.s. ........................................................ Ch4Fa rspaaptcnae2tdcrD.a e -.tl c.h e.el. 1l.4 .7. ........................................ 4A.u1Lte..hc .ot.ru.'r.se. ..1.4.7. ................................................................... Spteh.ce.to.rr.ae.lm. ..1.5.0. ................................................................ Tfrhsiset.t. a .t.e.m.e.n.t1.5.2. .............................................................. Tshesect oantde ment1 53 Tthsheti artde ment1 54 .................................................................... Tfhoseut ratthe ment1 57 ....................................................................... 4M.aT2ne.ux atl. 162 ..................................................................... 4S.p2te.hac1efant.roscdr rut aeralmfl a c1e6 3 .................................................................................... 22m arterpoQirf-xet u shaneetni2 nhdtDdt1e s-ya6 ,cat3 edi l,ol n ........................................ Sptehbcetitoh-brrooaaaegprnslmordi ,no s aj,1le 6 c5t ors x Q-afusuno tnidfhc'ty eetssal i deomnes1n 6t7s .................. SUtr(a2not)sdfh fy eoa rdm at1i6o8n s .................................. Conioaccf o- nmgupemlabere1xir 6n 9g image ................................................ Tshiesm pmpiaoltnpdfehopy seriat n d g 1 71 .................................. 4A.l2sg.tce2aob.bnr idali ittiy1o 7n2 ..................................... 4D.i3adc.aacc ncoedtmn iptces t e1n7ce5s ....................................................... Eexxtparmlnaead rt nehacotodimio1mcn7eas5nl d ations ................................................... Competence1s 76 .................. 4P.r4aoq.nbu dle esmtsi ons1 77 ................................................................................. Typprwiosicbotallhleu mtsi o1n7s7 ................................................................... ................................................... ThGee nTehreaoolPfr a yir cMtleecn hiaAc sS:p Ceocuirasle i x Tyqpuwieaicsnt.atsh.liw . oe.nr.ss1. 8.1. ............................................ Cutprerrs.oet.bn .lt.e .m.s. 1.8.2. .......................................................... Cutrers.et.n .tq. u.e.s.1t.8i.4o.n .s. ........................................................ PaGreTtnho PeefarMoraert.lcyi. h c.a1.n1e.i8 .c7s. ................................ CIhI5 Ea qpoQutfuaeM atreni. cto.hun.am .n 1.i8.c8.s ................................... 5A.u1Lte..hc .ot.ru.'r.se. ..1.8.8. ................................................................... 5M.aT2ne.ux atl. 195 5D.e2odt.efuh1q ceo.qut f uaim atoeni.ncto. hu1n.am9 .n 5.i .c.s. .......... .................................................................................... Fraotcafhtl seagt cleaoib.bnzr.idaa.lit1 .iti9.tio5y.on .n . .................... Phyatsnehidqeoc qu fauam late n.icut.ohn1un.ai9m .nt6 .is .c .s. ........ DeodtPfuhea cequ.t ul.iaio.t n.i .o1.n9. 8. ............................................ 5D.i3adc.aacc ncoedtm.n ip.tce.s t .e.1n.c9.e9.s . .......................................... Eexxtparmlnaead rt nehacot.odi.mio1.mcn9.eas9.nl d. a.t.i.o.n.s. ...... Com.p.e.t.e.n.c.e.2s.0 .0. ...................................................................... 5P.r4aoq.nbu d.le .es.mt.si. o.n.s2. 0.0. ......................................................... Typprwiosicbot.allhl.eu .mt.si. o2.n0.s0. ........................................... Tyqpuwieaicsnt.atsh.liw . oe.nr.ss2. 0.2. ............................................ Cutprerrs.oet.bn .lt.e .m.s. 2.0.3. .......................................................... Cutrers.et.n .tq. u.e.s.2t.0i.5o. n.s. ........................................................ Ch6Ca lpMates.ecs.rhi. ac.na.il.c 2.s0 .7. ..................................................... 6A.u1Lte..hc .ot.ru.'r.se. ..2.0.7. ................................................................... Thper toBdhcooeteehfrcfh dmaa seu cytc rt aoeabn,lid liittiyo n atnHhdae m eiq.lut.ao.tn.i-.o2J.n0a. 8c. o.b.i. ...................................... MipnahiNnaemdsdwa eyitl. nco .asn.m i.a.n. ............................... 215 6M.aT2n.e.u.x a.tl.. . ...2.1.8. ......................................................................... 6T.Bh2ope.hr 1dom.oec t frcfehaa sdecytu ct aroabenli,d l iittiyo n atnHhdae m eiql.ut.ao.tn.i-.oJ2.na1. c9.o .b.i. .......................................... 6M.i2pn.ahiN2naem.dsdwa eyitl. nco .asn.m i.2a2.n2. .......................... 6D.i3adc.aacc ncoedtm.n ip.tce.s t .e.2n.2c.5e.s . .......................................... Eexxtparmlnaead rt nehacot.odi.mio2.mcn2.eas5.nl d. a.t.i.o.n.s. ......

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