LEADER 05640nam 2200745Ia 450 001 9910792254903321 005 20230607230543.0 010 $a9786611998790 010 $a1-281-99879-6 010 $a0-19-156508-3 010 $a0-19-955644-X 035 $a(CKB)2560000000298393 035 $a(EBL)431105 035 $a(OCoLC)320958687 035 $a(SSID)ssj0000115304 035 $a(PQKBManifestationID)11132045 035 $a(PQKBTitleCode)TC0000115304 035 $a(PQKBWorkID)10008345 035 $a(PQKB)10853492 035 $a(StDuBDS)EDZ0000076462 035 $a(MiAaPQ)EBC431105 035 $a(Au-PeEL)EBL431105 035 $a(CaPaEBR)ebr10358346 035 $a(CaONFJC)MIL199879 035 $a(MiAaPQ)EBC7036444 035 $a(Au-PeEL)EBL7036444 035 $a(EXLCZ)992560000000298393 100 $a20020107d2002 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBrownian motion$b[electronic resource] $efluctuations, dynamics, and applications /$fRobert M. Mazo 210 $aOxford $cClarendon Press$d2002 215 $a1 online resource (302 p.) 225 1 $aOxford science publications 225 1 $aInternational series of monographs on physics ;$v112 300 $aDescription based upon print version of record. 311 $a0-19-851567-7 311 $a0-19-170562-4 320 $aIncludes bibliographical references (p. 271-284) and index. 327 $aContents; 1 Historical Background; 1.1 Robert Brown; 1.2 Between Brown and Einstein; 1.3 Albert Einstein; 1.4 Marian von Smoluchowski; 1.5 Molecular Reality; 1.6 The Scope of this Book; 2 Probability Theory; 2.1 Probability; 2.2 Conditional Probability and Independence; 2.3 Random Variables and Probability Distributions; 2.4 Expectations and Particular Distributions; 2.5 Characteristic Function; Sums of Random Variables; 2.6 Conclusion; 3 Stochastic Processes; 3.1 Stochastic Processes; 3.2 Distribution Functions; 3.3 Classification of Stochastic Processes; 3.4 The Fokker-Planck Equation 327 $a3.5 Some Special Processes3.6 Calculus of Stochastic Processes; 3.7 Fourier Analysis of Random Processes; 3.8 White Noise; 3.9 Conclusion; 4 Einstein-Smoluchowski Theory; 4.1 What is Brownian Motion?; 4.2 Smoluchowski's Theory; 4.3 Smoluchowski Theory Continued; 4.4 Einstein's Theory; 4.5 Diffusion Coefficient and Friction Constant; 4.6 The Langevin Theory; 5 Stochastic Differential Equations and Integrals; 5.1 The Langevin Equation Revisited; 5.2 Stochastic Differential Equations; 5.3 Which Rule Should Be Used?; 5.4 Some Examples; 6 Functional Integrals; 6.1 Functional Integrals 327 $a6.2 The Wiener Integral6.3 Wiener Measure; 6.4 The Feynman-Kac Formula; 6.5 Feynman Path Integrals; 6.6 Evaluation of Wiener Integrals; 6.7 Applications of Functional Integrals; 7 Some Important Special Cases; 7.1 Several Cases of Interest; 7.2 The Free Particle; 7.3 The Distribution of Displacements; 7.4 The Harmonically Bound Particle; 7.5 A Particle in a Constant Force Field; 7.6 The Uniaxial Rotor; 7.7 An Equation for the Distribution of Displacements; 7.8 Discussion; 8 The Smoluchowski Equation; 8.1 The Kramers-Klein Equation; 8.2 The Smoluchowski Equation 327 $a8.3 Elimination of Fast Variables8.4 The Smoluchowski Equation Continued; 8.5 Passage over Potential Barriers; 8.6 Concluding Remarks; 9 Random Walk; 9.1 The Random Walk; 9.2 The One-Dimensional Pearson Walk; 9.3 The Biased Random Walk; 9.4 The Persistent Walk; 9.5 Boundaries and First Passage Times; 9.6 Random Remarks on Random Walks; 10 Statistical Mechanics; 10.1 Molecular Distribution Functions; 10.2 The Liouville Equation; 10.3 Projection Operators-The Zwanzig Equation; 10.4 Projection Operators-The Mori Equation; 10.5 Concluding Remarks 327 $a11 Stochastic Equations from a Statistical Mechanical Viewpoint11.1 The Langevin Equation A Heuristic View; 11.2 The Fokker-Planck Equation-A Heuristic View; 11.3 What is Wrong with these Derivations?; 11.4 Eliminating Fast Processes; 11.5 The Distribution Function; 11.6 Discussion; 12 Two Exactly Treatable Models; 12.1 Two Illustrative Examples; 12.2 Brownian Motion in a Dilute Gas; 12.3 Discussion; 12.4 The Particle Bound to a Lattice; 12.5 The One-Dimensional Case; 12.6 Discussion; 13 Brownian Motion and Noise; 13.1 Limits on Measurement; 13.2 Oscillations of a Fiber 327 $a13.3 A Pneumatic Example 330 $aBrownian motion- the incessant motion of small particles suspended in a fluid- is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistical mechanics. - ;Brownian motion - the incessant motion of small particles suspended in a fluid - is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistica 410 0$aInternational series of monographs on physics (Oxford, England) ;$v112. 410 0$aOxford science publications. 606 $aBrownian motion processes 606 $aMarkov processes 615 0$aBrownian motion processes. 615 0$aMarkov processes. 676 $a530.42 676 $a530.475 700 $aMazo$b Robert M$066678 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910792254903321 996 $aBrownian motion$9377517 997 $aUNINA LEADER 04845nam 2200637Ia 450 001 9910971487503321 005 20251117091342.0 010 $a1-57506-627-0 024 7 $a10.1515/9781575066271 035 $a(CKB)2550000000051903 035 $a(OCoLC)775360904 035 $a(CaPaEBR)ebrary10495979 035 $a(SSID)ssj0000538384 035 $a(PQKBManifestationID)11364542 035 $a(PQKBTitleCode)TC0000538384 035 $a(PQKBWorkID)10559159 035 $a(PQKB)10498366 035 $a(Au-PeEL)EBL3155623 035 $a(CaPaEBR)ebr10495979 035 $a(OCoLC)922991738 035 $a(MdBmJHUP)musev2_80948 035 $a(MiAaPQ)EBC3155623 035 $a(DE-B1597)584286 035 $a(OCoLC)1266228100 035 $a(DE-B1597)9781575066271 035 $a(EXLCZ)992550000000051903 100 $a20110111d2011 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe land of Canaan and the destiny of Israel $etheologies of territory in the Hebrew Bible /$fDavid Frankel 205 $a1st ed. 210 $aWinona Lake, IN $cEisenbrauns$d2011 215 $a1 online resource (455 p.) 225 1 $aSiphrut : literature and theology of the Hebrew Scriptures ;$v4 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a1-57506-202-X 320 $aIncludes bibliographical references and indexes. 327 $aIntroduction : the significance of the land in defining Israel -- Sinai and Shechem : two covenants of foundation -- Worship of the lord on foreign soil -- Leaving the land : emigration in the book of Genesis -- The religions of Canaan : coexistence and exclusiveness in the book of Genesis -- The people of the God of Abraham -- Epilogue: Toward a contemporary theology of Israel and the land. 330 $aWhat part does the land of Canaan play in the biblical conception of "Israel"? To what extent does the religion promoted by the Hebrew Bible require that Israel live its communal life in the national homeland? And how does life in the land compare in importance with other elements presented as belonging to Israel's ultimate destiny, such as, for example, adherence to the law? To what extent must the people of Israel take hold of and settle in the "entire land of Canaan" for them to fulfill their destiny? Might the land be shared with other peoples, or must non-Israelites be expelled and subjugated, or at least kept at a safe and isolated distance?Frankel asks these questions and others of the Hebrew Bible as a whole and of the biblical texts individually. He shows that all of these questions were addressed by various biblical authors and that diverse and even opposing answers were given to them. These issues are not completely new. Many of them have been addressed in recent times by various scholars and theologians who have taken a renewed interest in the "territorial dimension" of the Hebrew Bible. However, works of a predominantly theological or sociological orientation often suffer from a tendency to read the biblical texts holistically and to gloss over textual snags and inconsistencies. For Frankel, the snags and inconsistencies in the texts are of central importance. They allow him carefully to reconstruct the process of the growth of the texts in question and to reveal both their original forms and their final transformations at the hands of the editors. Frankel's analysis shows that behind the present form of several biblical texts lie earlier versions that often displayed remarkably open and inclusive conceptions of the relationship between the people of Israel and the land of Canaan. Diachronic analysis of the biblical text is thus an essential component in this book's attempt to retrieve something of the heated theological dynamic that animated the work of the authors and editors whose efforts were consummated in the formation of the Hebrew Bible.Frankel presents here many new and previously unrecognized biblical conceptions and traditions that have significant theological implications for the contemporary religious and political situation in the State of Israel. Once the biblical conceptions have been accurately identified, analyzed, and categorized, he opens a discussion of the possible relevance of these conceptions to the contemporary situation in which he lives. 410 0$aSiphrut ;$v4. 606 $aPalestine in the Bible 606 $aPalestine in Judaism 615 0$aPalestine in the Bible. 615 0$aPalestine in Judaism. 676 $a221.9/1 700 $aFrankel$b David$f1961-$01898346 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910971487503321 996 $aThe land of Canaan and the destiny of Israel$94555302 997 $aUNINA