MARC Record from marc_columbia

LEADER: 03030cam a22003734a 4500
001 6295747
005 20221122020019.0
008 070319t20072007riua b 001 0 eng
010 $a 2007060754
020 $a9780821842348 (alk. paper)
020 $a082184234X (alk. paper)
035 $a(OCoLC)ocn122309597
035 $a(OCoLC)122309597
035 $a(NNC)6295747
035 $a6295747
040 $aDLC$cDLC$dBTCTA$dBAKER$dC#P$dYDXCP$dIXA$dOrLoB-B
050 00 $aQA9.6$b.A46 2007
082 00 $a515/.24$222
100 1 $aAlongi, John M.,$d1971-$0http://id.loc.gov/authorities/names/n2007019960
245 10 $aRecurrence and topology /$cJohn M. Alongi, Gail S. Nelson.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[2007], ©2007.
300 $aix, 221 pages :$billustrations ;$c27 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aGraduate studies in mathematics,$x1065-7339 ;$vv. 85
504 $aIncludes bibliographical references (p. 213-215) and index.
505 00 $gCh. 1.$tFlows -- $gCh. 2.$tRecurrent points -- $gCh. 3.$tIrreducible sets -- $gCh. 4.$tTest functions -- $gApp. A.$tDiscrete dynamical systems -- $gApp. B.$tCircle rotations -- $gApp. C.$tThe Hausdorff metric.
520 1 $a"Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology." "Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems." "Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit."--BOOK JACKET.
650 0 $aRecurrent sequences (Mathematics)$0http://id.loc.gov/authorities/subjects/sh95000276
650 0 $aPoint mappings (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85103916
650 0 $aTopology.$0http://id.loc.gov/authorities/subjects/sh85136089
700 1 $aNelson, Gail Susan.$0http://id.loc.gov/authorities/names/n90678000
830 0 $aGraduate studies in mathematics ;$vv. 85.$0http://id.loc.gov/authorities/names/n92111274
852 00 $bmat$hQA9.6$i.A46 2007