Chaos An introduction to dynamical systems. Flash或者其版本过低,您可以到这里下载安装后再刷新本页面。. 文件名:Chaos An introduction to dynamical systems.pdf 文件大小:7.39M 文件名:Differential Geometrical Methods in Mathematical Physics.djvu 文件大小:3.75M.
Introduction_to_Differential_Equations_with_Dynamical_Systems. Introduction_to_Differential_Equations_with_Dynamical_Systems的文档,希望对您的工作和学习有所帮助。以下是文档介绍:INTRODUCTIONTODIFFERENTIALEQUATIONS●●●●●●●●●●●●●●●●●●●●with. Dynamical. Systems. This page intentionally left blank. INTRODUCTIONTODIFFERENTIALEQUATIONS●●●●●●●●●●●●●●●●●●●●●●●●●●●with. Dynamical. Systems. Stephen. L. Campbelland. Richard. Haberman●●●●●●●●PRINCETONUNIVERSITYPRESSPRINCETONANDOXFORDCopyright? Princeton. University. Press. Publishedby. Princeton. University. Press,4. 1William. Street,Princeton,New. Jersey. 08. 54. 0Inthe. United. Kingdom: Princeton. University. Press,3. Market. Place,Woodstock,Oxfordshire. OX2. 01. SYAll. Rights. Reserved. Librar(来源:淘豆网[http: //www. Congress. Control. Number: 2. 00. 79. ISBN9. 78- 0- 6. 91- 1. British. Library. Cataloging- in- posedin. Times. Romanwith. ITCEras. Display. Printedonacid- freepaper.∞press. Printedinthe. Unitedstatesof. 通过新浪微盘下载 Differential Equations, Dynamical Systems & A Introduction to Chaos.pdf, 微盘是一款简单易用的网盘,提供超大免费云存储空间,支持电脑、手机等任意. America. 10. 98. 76. CONTENTS●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●Prefaceix. CHAPTER1. First- Order. Differential. Equationsand. Their. Applications. Introductionto. Ordinary. Differential. Equations. The. De? nite. Integralandthe. Initial. Value. Problem. The. Initial. Value. Probl(来源:淘豆网[http: //www. Inde? nite. Integral. The. Initial. Value. Problemandthe. De? Integral. 61. 2. 3. Mechanics. I: Elementary. Motionofa. Particlewith. Gravity. Only. 81. First- Order. Separable. Differential. Equations. Using. De? nite. Integralsfor. Separable. Differential. Equations. 16. 1. Direction. Fields. Existenceand. Uniqueness. Euler’s. Numerical. Method(optional)3. First- Order. Linear. Differential. Equations. Formofthe. General. Solution. 37. 1. 6. Solutionsof. Homogeneous. First- Order. Linear. Differe(来源:淘豆网[http: //www. Equations. 39. 1. Integrating. Factorsfor. First- Order. Linear. Differential. Equations. Linear. First- Order. Differential. Equationswith. Constant. Coef? cientsand. Constant. Input. 48. Homogeneous. Linear. Differential. Equationswith. Constant. Coef? cients. Constant. Coef? cient. Linear. Differential. Equationswith. Constant. Input. 50. 1. 7. 3. Constant. Coef? cient. Differential. Equationswith. Exponential. Input. Constant. Coef? cient. Differential. Equationswith. Discontinuous. Input. Growthand. Decay(来源:淘豆网[http: //www. Problems. 59. 1. 8. AFirst. Modelof. Population. Growth. 59. 1. 8. Radioactive. Decay. Thermal. Cooling. Mixture. Problems. Mixture. Problemswitha. Fixed. Volume. 74. Mixture. Problemswith. Variable. Volumes. Mechanics. II: Including. Air. Resistance. 88. Orthogonal. Trajectories(optional)9. CONTENTSCHAPTER2. Linear. Second- and. Higher- Order. Differential. Equations. 96. 2. General. Solutionof. Second- Order. Linear. Differential. Equations. Initial. Value. Problem(for. Homogeneous. Equatio(来源:淘豆网[http: //www. Reductionof. Order. Homogeneous. Linear. Constant. Coef? cient. Differential. Equations(Second. Order)1. 12. 2. 4. Homogeneous. Linear. Constant. Coef? cient. Differential. Equations(nth- Order)1. Mechanical. Vibrations. I: Formulationand. Free. Response. 12. Formulationof. Equations. Simple. Harmonic. Motion(No. Damping,δ=0)1. Free. Responsewith. Friction(δ> 0)1. The. Methodof. Undetermined. Coef? cients. 14. Mechanical. Vibrations. II: Forced. Response. Frictionis. Absent(δ=0)1(来源:淘豆网[http: //www. Frictionis. Present(δ> 0)(Damped. Forced. Oscillations)1. Euler. Equation. 17. Variationof. Parameters(Second- Order)1. Variationof. Parameters(nth- Order)1. CHAPTER3. The. Laplace. Transform. 19. 73. De? nitionand. Basic. Properties. 19. 73. The. Shifting. Theorem(Multiplyingbyan. Exponential)2. 05. Derivative. Theorem(Multiplyingbyt)2. Inverse. Laplace. Transforms(Roots,Quadratics,and. Partial. Fractions)2. Initial. Value. Problemsfor. Differential. Equations. Dis(来源:淘豆网[http: //www. Forcing. Functions. Solutionof. Differential. Equations. 23. 93. Periodic. Functions. Integralsandthe. Convolution. Theorem. 25. 33. 6. Derivationofthe. Convolution. Theorem(optional)2. Impulsesand. Distributions. CHAPTER4. An. Introductionto. Linear. Systemsof. Differential. Equationsand. Their. Phase. Plane. Introduction. 26. Introductionto. Linear. Systemsof. Differential. Equations. 26. 8CONTENTSvii. Solving. Linear. Systems. Using. Eigenvaluesand. Eigenvectorsofthe. Matrix. 26. 94. 2. Solving. Linear. Systemsifthe. Eigenvaluesare. Realand. Unequal. 27. 24. 2. Eigenvalues. 27. 64. Eigenvalues(optional)2. General. Solutionofa. Linear. Systemifthe. Two. Real. Eigenvaluesare. Equal(Repeated)Roots. Eigenvaluesand. Traceand. Determinant(optional)2. The. Phase. Planefor. Linear. Systemsof. Differential. Equations. Introductiontothe. Phase. Planefor. Linear. Systemsof. Differential. Equations. 28. 74. Phase. Planefor. Linear. Systemsof. Differential. Equations. 29. 54. Real. Eigenvalu(来源:淘豆网[http: //www. Complex. Eigenvalues. General. Theorems. CHAPTER5. Mostly. Nonlinear. First- Order. Differential. Equations. First- Order. Differential. Equations. 31. 55. Equilibriaand. Stability. Equilibrium. 31. 65. Stability. 31. 75. Reviewof. Linearization. Linear. Stability. Analysis. 31. 85. One- Dimensional. Phase. Lines. 32. Applicationto. Population. Dynamics: The. Logistic. Equation. 32. 7CHAPTER6. Nonlinear. Systemsof. Differential. Equationsinthe. Plane. 33. 26. 1. Introduction. 33. Equilibri(来源:淘豆网[http: //www. Nonlinear. Systems,Linear. Stability. Analysisof. Equilibrium,andthe. Phase. Plane. 33. Linear. Stability. Analysisandthe. Phase. Plane. 33. 66. 2. Nonlinear. Systems: Summary,Philosophy,Phase. Plane,Direction. Field,Nullclines. Population. Models. Species. 35. 06. 3. Predator- Prey. Population. Models. 35. 66. 4. Mechanical. Systems. Nonlinear. Pendulum. Linearized. Pendulum. CONTENTS6. 4. 3. Conservative. Systemsandthe. Energy. Integral. 36. 46. The. Phase. Planeandthe. Potential. 36. 7Answersto. Odd- Numbered. Exercises. Index. 42. 9PREFACE●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●OVERVIEWWehaveattemptedtowriteaconcisemoderntreatmentofdifferentialequationsemphasizingapplicationsandcontainingallthecorepartsofacourseindifferentialequations. Asemesterorquartercourseindifferentialequationsistaughttomostengi- neeringstudents(andmanysciencestudents)atalluniversities,usuallyinthesecondyear. Someuniversitieshaveanearlierbriefintroductiontodifferentialequationsandothersdonot. Somestudentswillhavealreadyseensomedifferentialequationsintheirscienceclasses. Wedonotassumeanypriorexposuretodifferentialequations. Thecoreofthesyllabusconsistsof. Chapters. 1and. 2onlineardifferentialequations. Theuseof. Laplacetransformstosolvedifferentialequationsisdescribedin. Chapter. 3sincemanyengineeringfacultyusethem. Seriessolutionsofdifferentialequationsusedtobepartofthecourse,butthetrendistonotdothis,andwehavedecidedtoomitseries. Bydoingso,municatingthatlinearandnonlinearsystemsaremoreimportantinadifferentialequationscourseforthefuture. Ourbookisalsolessexpensivewithoutseries. Mostuniversitiesdosomesystemsintheirdifferentialequationscourse. Somedoalittle,somedoalot. Wehavetriedtopresentsystemsinanelementaryintroductoryway,sothatthebeginningstudentunderstandsthematerial,andalsoina? Wealsopresentthephaseplaneforlinearsystemsinanelementaryway. Mostuniversitieswillwanttodosystemsbecausepresenttechnologymakesthemverygraphicallyexcitingtostudentsandfaculty. Eachuniversitywillusetechnologyinitsownuniqueway. Wedonotprovideexpensivesoftwarebecausethesoftwarewouldbeusefulforonlyashortportionofthestandarddifferentialequationscourse. Similarily,whilenumericalsimulationisimportant,itiseasilydonewithnumeroussoftwarepackages,sothatonlyabriefintroductionisneededina? Ourbookdiscussesstandardtopicsfordifferentialequationsinthestandardway,sothatitcaneasilybeadoptedbymostuniversities. Inaddition,wehavefocusedontheessentialareas,sothatthetextisconcise. Ourbookisuniqueinthewaythatsomeoftheessentialtopicsarediscussed,aswenowdescribe. Themostimportantconceptforstudentsinourtextistounderstandlineardifferentialequationsandhowtosolveoranalyzetheminanelementaryway. Wehaveattemptedtomaketheentirebookeasyforstudentstoread. CHAPTER1. Someofthepresentationsin. Chapter. 1areuniqueandintendedtosimplifytheoveralllinearityconcepts. Thekeysectionsareveryearlyinthetext. Section. 1. 6on? rst- orderlineardifferentialequationsdiscussesalltheconceptsoflinearityfor? Itshowsthatthegeneralsolutionisaparticularsolutionplusaconstanttimesthehomogeneoussolution. Thesectionisnotunique,butitisverywellwrittenandeasy播放器加载中,请稍候..系统无法检测到您的Adobe Flash Player版本建议您在线安装最新版本的Flash Player 在线安装.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
September 2016
Categories |