LEADER 03713nam 2200601 450 001 9910130965103321 005 20170816115255.0 010 $a1-283-30628-X 010 $a9786613306289 010 $a1-118-03153-9 010 $a1-118-03328-0 035 $a(CKB)3460000000080822 035 $a(EBL)699924 035 $a(OCoLC)778616746 035 $a(SSID)ssj0000613383 035 $a(PQKBManifestationID)11386649 035 $a(PQKBTitleCode)TC0000613383 035 $a(PQKBWorkID)10586919 035 $a(PQKB)10017406 035 $a(MiAaPQ)EBC699924 035 $a(PPN)170219364 035 $a(EXLCZ)993460000000080822 100 $a20160816h20042004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPrinciples of differential equations /$fNelson G. Markley 210 1$aHoboken, New Jersey :$cJohn Wiley & Sons, Inc.,$d2004. 210 4$dİ2004 215 $a1 online resource (354 p.) 225 1 $aPure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts 300 $aDescription based upon print version of record. 311 $a0-471-64956-2 320 $aIncludes bibliographical references and index. 327 $aPrinciples of Differential Equations; Contents; Preface; 1 Fundamental Theorems; 1.1 Preliminaries; 1.2 Existence; 1.3 Uniqueness; 1.4 Numerical Approximation; 1.5 Continuation; 1.6 Continuity in Initial Conditions; 2 Classical Themes; 2.1 Integrals; 2.2 The Qualitative Point of View; 2.3 Differential Inequalities; 3 Linear Differential Equations; 3.1 Elementary Properties; 3.2 Fundamental Matrix Solutions; 3.3 Higher Order Linear Differential Equations; 3.4 Complex Linear Differential Equations; 4 Constant Coefficients; 4.1 The Exponential of a Matrix; 4.2 Generalized Eigenspaces 327 $a4.3 Canonical Forms4.4 Higher Order Equations; 4.5 The Range of the Exponential Map; 5 Stability; 5.1 Stability at Fixed Points; 5.2 Stability and Constant Coefficients; 5.3 Stability and General Linear Systems; 5.4 Linear Systems with Periodic Coefficients; 6 The Poincare? Return Map; 6.1 Local Sections; 6.2 Planar Dynamics; 6.3 Recurrence; 7 Smooth Vector Fields; 7.1 Differentiate Functions; 7.2 Differentiation in Initial Conditions; 7.3 Linearization; 7.4 Hamiltonian Systems; 8 Hyperbolic Phenomenon; 8.1 Hyperbolic Linear Vector Fields; 8.2 Perturbed Hyperbolic Systems 327 $a8.3 The Contraction Mapping Principle8.4 Local Stable Manifolds; 9 Bifurcations; 9.1 The Implicit Function Theorem; 9.2 Persistence of Periodic Points; 9.3 Hopf Bifurcations; Bibliography; Index 330 $aAn accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems. Nelson Markley includes essential background 410 0$aPure and applied mathematics (John Wiley & Sons : Unnumbered) 606 $aDifferential equations 615 0$aDifferential equations. 676 $a515.35 676 $a515/.35 700 $aMarkley$b Nelson Groh$f1940-$0860608 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910130965103321 996 $aPrinciples of differential equations$91920468 997 $aUNINA LEADER 03155nam 22006374a 450 001 9910830808203321 005 20230607214106.0 010 $a1-4051-6656-8 010 $a1-78268-692-4 010 $a1-280-28432-3 010 $a9786610284320 010 $a1-4051-2302-8 035 $a(CKB)111087027738228 035 $a(EBL)214118 035 $a(SSID)ssj0000378999 035 $a(PQKBManifestationID)12102115 035 $a(PQKBTitleCode)TC0000378999 035 $a(PQKBWorkID)10357394 035 $a(PQKB)10042822 035 $a(SSID)ssj0000113028 035 $a(PQKBManifestationID)11131415 035 $a(PQKBTitleCode)TC0000113028 035 $a(PQKBWorkID)10098293 035 $a(PQKB)11263123 035 $a(MiAaPQ)EBC3056700 035 $a(MiAaPQ)EBC214118 035 $a(OCoLC)907931545 035 $a(EXLCZ)99111087027738228 100 $a20001215d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 04$aThe Blackwell companion to the Hebrew Bible$b[electronic resource] /$fedited by Leo G. Perdue 210 $aOxford ;$aMalden, MA $cBlackwell Publishers$d2001 215 $a1 online resource (502 p.) 225 1 $aBlackwell companions to religion 300 $aDescription based upon print version of record. 311 $a1-4051-2720-1 311 $a0-631-21071-7 320 $aIncludes bibliographical references and indexes. 327 $aContents; Contributors; Preface: The Hebrew Bible in Current Research; 1 Preparatory Issues in Approaching Biblical Texts; 2 Methods of Modern Literary Criticism; 3 Social Scientific Approaches; 4 Early Israel and the Rise of the Israelite Monarchy; 5 The History of Israel in the Monarchic Period; 6 Exile, Restoration, and Colony: Judah in the Persian Empire; 7 Archaeology and the History of Israel; 8 Biblical and Syro-Palestinian Archaeology; 9 Canaan; 10 The Household in Ancient Israel and Early Judaism; 11 Archaeology, the Israelite Monarchy, and the Solomonic Temple 327 $a12 Schools and Literacy in Ancient Israel and Early Judaism13 Modern Approaches to Old Testament Theology; 14 Symmetry and Extremity in the Images of YHWH; 15 Theological Anthropology in the Hebrew Bible; 16 The Community of God in the Hebrew Bible; 17 Old Testament Ethics; 18 Creation and Redemption in the Torah; 19 Law and Narrative in the Pentateuch; 20 Former Prophets: The Deuteronomistic History; 21 Latter Prophets: The Major Prophet 330 $aThis comprehensive companion to the Hebrew Bible offers an overview and survey of Old Testament study. It consists of articles from a range of international Old Testament scholars. It covers the history, archaeology, theology, sociology and ancient Near Eastern context of the Hebrew Bible. 410 0$aBlackwell companions to religion. 676 $a220.44 676 $a221.6 701 $aPerdue$b Leo G$0853936 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830808203321 996 $aThe Blackwell companion to the Hebrew Bible$93972659 997 $aUNINA