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				<div style="text-align:left;margin-bottom:20px;">  		</div><span itemprop="name" class="title">Analysis 2<br></span><span class="subtitle">Differentialrechnung im IRn, gewöhnliche Differentialgleichungen<br></span><p>Autoren:<br><span itemprop="author" class="author"><b>Otto Forster</b></span></p><p>Verlag:<br><b itemprop="publisher">Gabler, Betriebswirt.-Vlg</b>&nbsp;&nbsp;<a onclick="SearchPublEnt(680)" href="#">Weitere Titel dieses Verlages anzeigen</a></p>		
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<span class="notbold">Auflage: </span>10., verbesserte Auflage 2013.<br><span class="notbold">Erschienen: </span>Juni 2013<br><span class="notbold">Seiten: </span>229<br><span class="notbold">Sprache: </span>Deutsch<br><span class="notbold">Preis: </span>19.99 €<br><span class="notbold">Illustration: </span>40 schwarz-weiße Abbildungen
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						<div class="right-td"><span class="notbold">Ma&szlig;e: </span>210x148x17<br><span class="notbold">Einband: </span>Taschenbuch<br><span class="notbold">Reihe: </span>Grundkurs Mathematik<br><span class="notbold">ISBN: </span>9783658023560			</div>
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						<h1><a href="_9783658023560_inhalt.html">Inhaltsverzeichnis</a></h1>
						<p><table><tr><td></td><td></td><td></td></tr><tr><td></td><td>Inhaltsverzeichnis</td><td></td></tr><tr><td></td><td>I. Differentialrechnung im R&quot;</td><td>1</td></tr><tr><td>1</td><td>Topologie metrischer Räume</td><td>1</td></tr><tr><td>2</td><td>Grenzwerte. Stetigkeit</td><td>15</td></tr><tr><td>3</td><td>Kompaktheit</td><td>28</td></tr><tr><td>4</td><td>Kurven im Rn</td><td>40</td></tr><tr><td>5</td><td>Partielle Ableitungen</td><td>51</td></tr><tr><td>6</td><td>Totale Differenzierbarkeit</td><td>66</td></tr><tr><td>7</td><td>Taylor-Formel. Lokale Extrema</td><td>77</td></tr><tr><td>8</td><td>Implizite Funktionen</td><td>90</td></tr><tr><td>9</td><td>Untermannigfaltigkeiten</td><td>104</td></tr><tr><td>10</td><td>Integrale, die von einem Parameter abhängen</td><td>118</td></tr><tr><td></td><td>II. Gewöhnliche Differentialgleichungen</td><td>135</td></tr><tr><td>11</td><td>Elementare Lösungsmethoden</td><td>135</td></tr><tr><td>12</td><td>Existenz-und Eindeutigkeitssatz</td><td>149</td></tr><tr><td>13</td><td>Lineare Differentialgleichungen</td><td>165</td></tr><tr><td>14</td><td>Differentialgleichungen 2. Ordnung</td><td>179</td></tr><tr><td>15</td><td>Lineare Differentialgleichungen mit konstanten Koeffizienten</td><td>199</td></tr><tr><td>16</td><td>Systeme linearer Diff'gleichungen mit konstanten Koeffizienten</td><td>213</td></tr><tr><td></td><td>Literaturhinweise</td><td>225</td></tr><tr><td></td><td>Namens- und Sachverzeichnis</td><td>226</td></tr><tr><td></td><td>Symbolverzeichnis</td><td>226</td></tr><tr><td></td><td></td><td></td></tr></table></p>
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<span class="bmhighl">Namens- und Sachverzeichnis 
Abbildung 
stetige, 18</span><br/>abgeschlossen, 10<br/>abgeschlossene Hülle, 13<br/>abgeschlossene Menge, 8<br/>Ableitung 
partielle, 51<br/>Abstand, 2<br>
Anfangsbedingung, 155<br>
Banach, Stefan (1892 - 1945), 17<br/>Banach-Raum, 17<br/>Banachscher Fixpunktsatz, 92<br/>beschränkt, 17<br>
Bessel, Friedrich Wilhelm (1784-1846), 192<br>
Besselfunktion, 192<br>
Besseische Differentialgleichung, 192<br>
Bogenlänge, 44<br>
Bolzano, Bernhard (1781-1848), 37<br>
Satz von B.-Weierstraß, 37<br/>Borel, Emile (1871-1956), 32<br>
Cauchy, Augustin Louis (1789-1857), 16<br>
Cauchy-Folge, 16<br>
definit, positiv (negativ), 83<br/>Diffeomorphismus, 101<br/>Differential, 68<br/>Differentialgleichung lineare, 142, 165<br/>mit getrennten Variablen, 138<br/>differenzierbar, 66<br/>partiell, 52, 53<br/>stetig partiell, 69<br/>total, 66<br/>differenzierbare Kurve, 40<br>
Divergenz, 57<br/>Doppelintegral, 124<br/>Doppelpunkt, 42<br/>Dreiecksungleichung, 1<br/>Durchmesser, 17<br>
ebene Polarkoordinaten, 101<br>
£-6-Kriterium der Stetigkeit, 20<br>
£-Umgebung, 5<br>
Euklid (um 300 v.Chr.), 4<br>
euklidische Norm, 4<br>
Euler, Leonhard (1707-1783), 126<br>
Eulersche Differentialgleichung, 126<br>
Fermat, Pierre (1601 - 1655), 3<br/>Fermatsches Prinzip, 3<br/>Fixpunktsatz 
Banachscher, 92<br/>Folge, konvergente, 15<br/>Cauchy-Folge, 15<br/>Fundamentalsatz der Algebra, 35<br/>Funktional-Matrix, 68<br>
getrennte Variable, 138<br/>gleichmäßig konvergent, 24<br/>gleichmäßig stetig, 37<br/>Gradient, 56<br>
Graph einer Funktion, 51<br>
Hamilton, William Rowan (1805-1860), 131<br>
Hamiltonsches Prinzip, 131<br/>harmonische Funktion, 62<br/>harmonischer Oszillator, 182<br/>Hausdorff, Felix (1868-1942), 6<br/>Hausdorff-Raum, 11<br/>Hausdorffsches Trennungsaxiom, 6<br/>Heine, Eduard (1821-1881), 32<br>

Namens- und Sachverzeichnis<br><div>
<br></div>
Heine-Borel, Satz von, 32<br/>Heine-Borelsche Überdeckungseigen- schaft, 28<br/>Hermite, Charles (1822-1901), 191<br/>Hermitesche Differentialgleichung, 191<br/>Hesse, Otto (1811-1874), 82<br/>Hessesche Matrix, 82<br/>Höhenlinie, 51<br/>Homöomorphismus, 23<br/>homogene Differentialgleichung, 146<br/>homogene lineare Differentialgleichung, 165<br>
Hyperfläche, 107<br>
Immersion, 104<br/>induzierte Metrik, 2<br/>induzierte Topologie, 10<br/>Inneres, 13<br/>C<sup>l</sup> -invertierbar, 101<br>
Jacobi, Carl Gustav Jakob (1804- 
1851), 68<br/>Jacobi-Matrix, 68<br>
Kettenregel, 70<br/>kompakt, 28<br/>konvergent, 15<br>
gleichmäßig, 24<br/>Koordinatensystem 
lokales, 107<br/>Kurve, 40<br>
differenzierbare, 40<br/>reguläre, 42<br/>singuläre, 42<br>
Länge einer Kurve, 44<br/>Lagrange, Joseph Louis (1736-1813), 114<br>
Lagrangescher Multiplikator, 114<br/>Laguerre, Edmond (1834-1886), 191<br>
Laguerresche Differentialgleichung, 191<br>
Laplace, Pierre Simon (1736- 1813), 61<br>
Laplace-Operator, 61<br/>Lebesgue, Henri (1875-1941), 39<br/>Lebesguesches Lemma, 39<br/>Lindelöf, Ernst (1870-1946), 154<br>
Existenzsatz von Picard-L., 154<br/>Lipschitz, Rudolf (1832-1903), 151<br/>Lipschitz-Bedingung, 151<br/>logarithmische Spirale, 50<br/>lokale Extrema (Maxima, Minima, 82<br>
lokales Koordinatensystem, 107<br>
mathematisches Pendel, 183<br/>Maximum-Norm, 4<br/>Metrik, 1<br>
induzierte, 2<br/>metrischer Raum, 2<br/>Mittelwertsatz, 74<br/>Multiplikator, Lagrangescher, 114<br>
Nabla-Operator, 56<br/>Nebenbedingung 
Extremum mit N., 114<br/>Neil, William (1637 - 1670), 43<br/>Neilsche Parabel, 43<br/>Neumann, Carl (1832-1925), 192<br/>Neumannsche Funktion, 192<br/>Newton, Isaac (1643 - 1727), 63<br/>Newton-Potential, 63<br/>Niveaumenge, 51<br/>Norm, 3<br>
einer linearen Abbildung, 26<br/>euklidische, 4<br/>Maximum-Norm, 4<br/>Normalenvektor, 111<br>

Namens- und Sachverzeichnis<br><div>
<br></div>
normierter Vektorraum, 3<br/>offen, 9<br>
offene Überdeckung, 28<br/>offener Kern, 13<br/>orientierungstreu, 48<br/>Oszillator 
harmonischer, 182<br>
Parameterdarstellung, 107<br/>Parametertransformation, 48<br/>partiell differenzierbar, 52, 53<br/>partielle Ableitung, 51<br/>Pendel 
mathematisches, 183<br/>Picard, Emile (1856-1941), 154<br/>Picard-Lindelöfsches Iterationsverfah- ren, 158<br/>Potentialgleichung, 62<br/>Prinzip der kleinsten Wirkung, 131<br/>Produktregel 
für Divergenz, 57<br/>für Gradient, 56<br>
Rand, 12<br/>Randpunkt, 12<br/>reguläre Kurve, 42<br/>rektifizierbare Kurve, 44<br/>Relativ-Topologie, 10<br/>Resonanzfall, 211<br/>Resonanzkatastrophe, 211<br/>Richtungsableitung, 72<br/>Richtungsfeld, 136<br/>Rotation, 60<br/>Rotationsfläche, 107<br>
Schachtelungsprinzip, 18<br/>Schnittwinkel, 44<br/>Schraubenlinie, 40<br>
Schwarz, Hermann Amandus (1843<br>
-1921), 59<br/>Schwarz, Satz von, 59<br/>singuläre Kurve, 42<br/>Spirale 
logarithmische, 50<br/>stetig, 18, 22<br>
gleichmäßig, 37<br>
Tangentialvektor, 41, 111<br/>Taylor, Brook (1685-1731), 78<br/>Taylorsche Formel, 78<br/>Topologie, 9<br>
topologische Abbildung, 23<br/>topologischer Raum, 9<br/>Torus, 108<br>
total differenzierbar, 66<br/>triviale Metrik, 3<br>
Überdeckung offene, 28<br/>Umgebung, 5,11<br/>e-Umgebung, 5<br/>Untermannigfaltigkeit, 106<br>
Variation der Konstanten, 145, 172<br/>Variationsrechnung, 126<br/>Vektorfeld, 57<br/>Vektorraum 
normierter, 3<br/>vollständig, 17<br>
Wärmeleitungsgleichung, 62<br/>Weierstraß, Karl (1815-1897), 37<br/>Wellengleichung, 62<br/>Wirkungsintegral, 131<br/>Wronski, Josef-Maria (1778-1853), 175<br>
Wronski-Determinante, 175<br/>Zykloide, 47<br>
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//  <script src="//ajax.googleapis.com/ajax/libs/jquery/1.7.1/jquery.min.js"></script>
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  <script type="text/javascript">
    function FixedStart()
      {
      shelf_book_ean = "9783658023560"; SearchOpen("@@autocat", "9783658023560")      }

	if ($('#TopMenuContainer').is('*')) {
	  $('#TopMenuContainer').load('treemenu_JS.php', function() {
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//works but switched off now, in use is Photoslider block	  
/*
			var sly = new Sly($('.sly'), 
				{
				horizontal: 1,
				itemNav: "forceCentered",
				dragHandle: 1,
				dynamicHandle: 1,
				drag: 1,
				scrollBy: 1,
				speed: 500,
				//easing: "easeOutBack" // with jQuery Easing plugin
			}).init(); // Has to be initiated
*/





		// -----------------------------------------------------------------------------------
		//   Photoslider
		// -----------------------------------------------------------------------------------

				// Function for populating lists with placeholder items
				function populate(container, count, offset) {

					var output = '';

					offset = isNaN(offset) ? 0 : offset;

					for (var i = 0; i < count; i++) {
						output += '<li>' + (offset + i) + '</li>';
					}

					return $(output).appendTo(container);

				}

				// Populate list items
				$('ul[data-items]').each(function (i, element) {

					var items = parseInt($(element).data('items'), 10);

					//not needed at the moment, fills slider with Dummy data
					//populate(element, items);

				});


			
				
				
				// Call sly instances

					var $cont = $('#Photoscroll'),
						$frame = $cont.find(".sly"),
						$slidee = $frame.find("ul"),
						$scrollbar = $cont.find(".scrollbar"),
						$pagesbar = $cont.find(".pages"),
						options = {}, //$frame.data("options"),

						$controls = $cont.find(".controls"),
						$prevButton = $controls.find(".prev"),
						$nextButton = $controls.find(".next"),
						$prevPageButton = $controls.find(".prevPage"),
						$nextPageButton = $controls.find(".nextPage");

					$.extend(options, {
						itemNav: "forceCentered",
						horizontal:1,
						smart: 1,
						activateMiddle: 1,
						activateOn: 'click',
mouseDragging: 1,
touchDragging: 1,
interactive: ['a'],
releaseSwing: 1,
startAt: 0,
//scrollBy: 1, //enable mouse scroll
speed: 500,
elasticBounds: 1,
easing: 'easeOutBack',
dragHandle: 1,
dynamicHandle: 1,
clickBar: 1, 
 //data-options='{ "horizontal":1, "itemNav": "forceCentered", "dragHandle": 1,"dynamicHandle": 1, "dragging": 1, "mouseDragging": 1, "touchDragging": 1, "speed": 500, "clickBar":1, "easing": "easeOutBack"}'
 
 
 						scrollBar: $scrollbar,
						pagesBar: $pagesbar,

						prev: $prevButton,
						next: $nextButton,
						prevPage: $prevPageButton,
						nextPage: $nextPageButton,
						disabledClass: 'btn-disabled'
					});

					
var container = document.getElementById('Photoscroll');
var sly_timer = null;
var sly_img_timer = null;

//imagesLoaded(container, function(){					
					
					// Call sly
					$frame.sly(options, {
					move: function (evn) {
					  if (this.pos.cur > this.pos.end - 1000) CacheNextCovers();  //.max changed to .end
					  if (sly_img_timer) clearTimeout(sly_img_timer);
					  else $('#imgScroll').hide();
					  sly_img_timer = setTimeout(function() { 
						sly_img_timer = null;
						$('#imgScroll').css({width:0});
						$('#imgScroll').css({left:findRightCorner('.slidee li.active')});
						$('#imgScroll').show().animate({ width: 48}, 'fast');
						//$('#imgScroll').show(); 
					  }, 500);
					  for (var i=0; i<this.items.length; i++)
					    {
					    var pos = this.items[i].center - this.pos.cur;
					    if (pos > -3000 && pos < 3000)
					      {
					      $(this.items[i].el.firstChild.childNodes[1]).load(function () {$(this).addClass('imgloaded')});
					      this.items[i].el.firstChild.childNodes[1].src = $(this.items[i].el.firstChild.childNodes[1]).attr('url');
					      }
					    }
 					  }, 
					active: function (evn, item) {
					  if (sly_timer) clearTimeout(sly_timer);
					  sly_timer = setTimeout(function() { sly_timer = null; OpenNewCover()}, 250);
					  }
					});

					// Bind controls
					$cont.find("button").click(function () {

						var action = $(this).data('action'),
							arg = $(this).data('arg');

						switch (action) {
							case 'add':
								var children = $slidee.children().length,
									$item = $('<li>'+children+'</li>');
								$slidee.append($item);
								$frame.sly('reload');
							break;

							case 'remove':
								$slidee.children().slice(-1).remove();
								$frame.sly('reload');
							break;

							default:
								$frame.sly(action, arg);
						}
					});
//});

$().UItoTop({ easingType: 'easeOutQuart' }); 

//Dropdown plugin data
var ddData = [
    {
        text: "Suche in Titel, Autor, Verlag",
        value: 0,
        selected: false,
        description: "",
        imageSrc: ""
    },
    {
        text: "Suche auch im Buchinhalt",
        value: 1,
        selected: false,
        description: "Durchsucht auch Inhaltsverzeichnisse, Register, Klappentexte, Vorworte, Autoreninformationen",
        imageSrc: ""
    }
];

var SearchArea = 0;

$('#selectDropdown').ddslick({
    data: ddData,
    width: 100,
    imagePosition: "left",
    selectText: "Suche in",
        defaultSelectedIndex: 0,
        truncateDescription: true,
        showSelectedHTML: false,	
	
	
    onSelected: function (data) {
        if (SearchArea != data.selectedIndex)
          {
          SearchArea = data.selectedIndex;
          Search();
          }
    }
});

var GoToCart = 1;	// 0 = remember, 1 = direct
var NoCart = 0;
var count_max = 0;
var lang_filter = -1;
  
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