Ordinary Differential Equations Export

@book{citeulike:5296898, abstract = {There are dozens of books on ODEs, but none with the elegant geometric insightof Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative andgeometric properties of ODEs and their solutions, rather than on theroutinepresentation of algorithms for solving special classes of equations.Of course,the reader learns how to solve equations, but with much more understanding ofthe systems, the solutions and the techniques. Vector fields and one-parametergroups of transformations come right from the startand Arnol'd uses this"language" throughout the book. This fundamental difference from the standardpresentation allows him to explain some of the real mathematics of ODEs in avery understandable way and without hidingthe substance. The text is also richwith examples and connections with mechanics. Where possible, Arnol'd proceedsby physical reasoning, using it as a convenient shorthand for much longerformal mathematical reasoning. This technique helps the student get a feel forthe subject. Following Arnol'd's guiding geometric and qualitative principles,there are 272 figures in the book, but not a single complicated formula. Also,the text is peppered with historicalremarks, which put the material incontext, showing how the ideas have developped since Newton and Leibniz. Thisbook is an excellent text for a course whose goal is a mathematical treatmentof differential equations and the related physical systems.}, author = {Arnol'd, Vladimir I.}, citeulike-article-id = {5296898}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/3540345639}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/3540345639}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/3540345639}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/3540345639}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/3540345639/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/3540345639}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/3540345639}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN3540345639}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=3540345639&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/3540345639}, day = {26}, howpublished = {Paperback}, isbn = {3540345639}, keywords = {ode}, month = {July}, posted-at = {2009-07-30 12:37:58}, priority = {2}, publisher = {Springer}, title = {Ordinary Differential Equations}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/3540345639}, year = {2006} }

TY - BOOK ID - citeulike:5296898 L3 - citeulike-article-id:5296898 N2 - There are dozens of books on ODEs, but none with the elegant geometric insightof Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative andgeometric properties of ODEs and their solutions, rather than on theroutinepresentation of algorithms for solving special classes of equations.Of course,the reader learns how to solve equations, but with much more understanding ofthe systems, the solutions and the techniques. Vector fields and one-parametergroups of transformations come right from the startand Arnol'd uses this"language" throughout the book. This fundamental difference from the standardpresentation allows him to explain some of the real mathematics of ODEs in avery understandable way and without hidingthe substance. The text is also richwith examples and connections with mechanics. Where possible, Arnol'd proceedsby physical reasoning, using it as a convenient shorthand for much longerformal mathematical reasoning. This technique helps the student get a feel forthe subject. Following Arnol'd's guiding geometric and qualitative principles,there are 272 figures in the book, but not a single complicated formula. Also,the text is peppered with historicalremarks, which put the material incontext, showing how the ideas have developped since Newton and Leibniz. Thisbook is an excellent text for a course whose goal is a mathematical treatmentof differential equations and the related physical systems. SN - 3540345639 TI - Ordinary Differential Equations PB - Springer KW - ode AU - Arnol'd, Vladimir PY - 2006/07/26/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/3540345639 ER -