http://mech.spbstu.ru/?title=Tensor_Calculus&feed=atom&action=history Tensor Calculus - Revision history 2024-03-28T14:29:43Z Revision history for this page on the wiki MediaWiki 1.27.3 http://mech.spbstu.ru/?title=Tensor_Calculus&diff=7638&oldid=prev Михаил Бабенков: Undo revision 7622 by 188.143.232.27 (talk) 2016-05-07T22:16:10Z <p>Undo revision 7622 by <a href="/Special:Contributions/188.143.232.27" title="Special:Contributions/188.143.232.27">188.143.232.27</a> (<a href="/?title=User_talk:188.143.232.27&amp;action=edit&amp;redlink=1" class="new" title="User talk:188.143.232.27 (page does not exist)">talk</a>)</p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='en'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 22:16, 7 May 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Ik vind de groene kleur mooi</del>. <del class="diffchange diffchange-inline">maar €32</del>,<del class="diffchange diffchange-inline">99 voor zo n palette zal ik niet uitgeven! Zal erg zonde zijn</del>. <del class="diffchange diffchange-inline">Aangezien niet alle 4 kleuren erg godeeepigmgnteerd zijn</del>. <del class="diffchange diffchange-inline">&amp;lt</del>;<del class="diffchange diffchange-inline">3</del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">The focus of the course ''Tensor analysis'' lies mainly on acquiring an understanding of the principles and ideas of the direct (component-free) tensor language, which is widely used in many courses</ins>. &#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''Content:'''</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Tensor algebra</ins>, <ins class="diffchange diffchange-inline">theory of tensor functions and tensor analysis are introduced. The symmetries of tensors and tensor functions are considered</ins>. <ins class="diffchange diffchange-inline">The course emphasizes the application of tensor algebra and calculus to a wide variety of applied areas from engineering and physics</ins>.</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Students who have completed the course must have an idea about tensor and properties of invariant operations on tensors; Hamilton nabla operator and its properties</ins>; <ins class="diffchange diffchange-inline">the curvilinear coordinates.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Students have to know the following items:</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">basic concepts and methods of the tensor algebra and analysis. </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; 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Zal erg zonde zijn</ins>. <ins class="diffchange diffchange-inline">Aangezien niet alle 4 kleuren erg godeeepigmgnteerd zijn</ins>. <ins class="diffchange diffchange-inline">&amp;lt</ins>;<ins class="diffchange diffchange-inline">3</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">'''Content:'''</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Tensor algebra</del>, <del class="diffchange diffchange-inline">theory of tensor functions and tensor analysis are introduced. 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border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">back to [[IMDP| International MSc program &quot;Mechanics and Mathematical Modeling&quot;]]</del></div></td><td colspan="2">&#160;</td></tr> </table> 188.143.232.27 http://mech.spbstu.ru/?title=Tensor_Calculus&diff=6372&oldid=prev Vakulinaa at 17:53, 15 November 2015 2015-11-15T17:53:03Z <p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='en'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 17:53, 15 November 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l65" >Line 65:</td> <td colspan="2" class="diff-lineno">Line 65:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; 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font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>back to [[IMDP| International MSc program &quot;<del class="diffchange diffchange-inline">Advanced Dynamics of Discrete </del>and <del class="diffchange diffchange-inline">Continuum Systems</del>&quot;]]</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>back to [[IMDP| International MSc program &quot;<ins class="diffchange diffchange-inline">Mechanics </ins>and <ins class="diffchange diffchange-inline">Mathematical Modeling</ins>&quot;]]</div></td></tr> </table> Vakulinaa http://mech.spbstu.ru/?title=Tensor_Calculus&diff=6297&oldid=prev Wikiadmin: Wikiadmin moved page Tensor analysis to Tensor Calculus 2015-11-14T11:22:45Z <p>Wikiadmin moved page <a href="/Tensor_analysis" class="mw-redirect" title="Tensor analysis">Tensor analysis</a> to <a href="/Tensor_Calculus" title="Tensor Calculus">Tensor Calculus</a></p> <table class="diff diff-contentalign-left" data-mw="interface"> <tr style='vertical-align: top;' lang='en'> <td colspan='1' style="background-color: white; 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The symmetries of tensors and tensor functions are considered. The course emphasizes the application of tensor algebra and calculus to a wide variety of applied areas from engineering and physics.</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Tensor algebra, theory of tensor functions and tensor analysis are introduced. The symmetries of tensors and tensor functions are considered. The course emphasizes the application of tensor algebra and calculus to a wide variety of applied areas from engineering and physics.</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Students who have completed the course must have an idea about tensor and properties of invariant operations on tensors; Hamilton nabla operator and its properties; the curvilinear coordinates.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Students have to know the following items:</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">basic concepts and methods of the tensor algebra and analysis. </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">mathematical properties and the physical meaning of vector differential operators</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*carry out calculations using both the direct tensor calculus and coordinate notation</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*perform calculations using the rules of working with such operators as gradient, curl, divergence;</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; 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vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">The tensor algebra</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*Operations with tensors of the second rank. </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*Linear display. </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; 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Hamiltonian operator, curvilinear coordinate, orthogonal curvilinear coordinates, Gauss formula and Stokes formula.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>back to [[IMDP| International MSc program &quot;Advanced Dynamics of Discrete and Continuum Systems&quot;]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>back to [[IMDP| International MSc program &quot;Advanced Dynamics of Discrete and Continuum Systems&quot;]]</div></td></tr> </table> Tkostareva http://mech.spbstu.ru/?title=Tensor_Calculus&diff=1462&oldid=prev Галина Крохалева: Created page with "The focus of the course ''Tensor analysis'' lies mainly on acquiring an understanding of the principles and ideas of the direct (component-free) tensor language, which is widely ..." 2014-06-04T09:51:39Z <p>Created page with &quot;The focus of the course &#039;&#039;Tensor analysis&#039;&#039; lies mainly on acquiring an understanding of the principles and ideas of the direct (component-free) tensor language, which is widely ...&quot;</p> <p><b>New page</b></p><div>The focus of the course ''Tensor analysis'' lies mainly on acquiring an understanding of the principles and ideas of the direct (component-free) tensor language, which is widely used in many courses. <br /> <br /> '''Content:'''<br /> <br /> Tensor algebra, theory of tensor functions and tensor analysis are introduced. The symmetries of tensors and tensor functions are considered. The course emphasizes the application of tensor algebra and calculus to a wide variety of applied areas from engineering and physics.<br /> <br /> <br /> back to [[IMDP| International MSc program &quot;Advanced Dynamics of Discrete and Continuum Systems&quot;]]</div> Галина Крохалева