LEADER 02455nam 22004453u 450 001 9910463211503321 005 20210403004321.0 010 $a0-19-165006-4 010 $a0-19-165007-2 035 $a(CKB)2670000000339933 035 $a(EBL)1132331 035 $a(OCoLC)830169013 035 $a(MiAaPQ)EBC1132331 035 $a(EXLCZ)992670000000339933 100 $a20130418d2013|||| u|| | 101 0 $aeng 200 10$aAntarctica$b[electronic resource] $eA Biography 210 $aOxford $cOUP Oxford$d2013 215 $a1 online resource (1142 p.) 300 $aDescription based upon print version of record. 311 $a1-306-40252-2 311 $a0-19-967055-2 327 $aCover; Title Page; Copyright Page; Dedication; Contents; Preface; Chapter 1 1770's; Chapter 2 1780-1820; Chapter 3 1821-1838; Chapter 4 1839-1843; Chapter 5 1843-1895; Chapter 6 1895-1906; Chapter 7 1907-1912; Chapter 8 1912-1918; Chapter 9 1919-1926; Chapter 10 1926-1928; Chapter 11 1929-1930; Chapter 12 1931-1933; Chapter 13 1934-1936; Chapter 14 1937-1938; Chapter 15 1939-1941; Chapter 16 1941-1945; Chapter 17 1945-1947; Chapter 18 1948-1951; Chapter 19 1952-1956; Chapter 20 1957-1960; Chapter 21 1961-2012; Epilogue; Endnotes; Select Bibliography; Index; Footnote 330 $aFor centuries it was suspected that there must be an undiscovered continent in the southern hemisphere. But explorers failed to find one. On his second voyage to the Pacific, Captain Cook sailed further south than any of his rivals but still failed to sight land. It was not until 1820 that the continent's frozen coast was finally sighted. Territorial rivalry intensified in the 1840's when British, American, and French expeditions sailed south to chart further portions of the continent that had come to be called Antarctica. For the nearly two centuries since, the race to claim exclusive possession 606 $aAntarctica -- Discovery and exploration 606 $aAntarctica -- Environmental conditions 606 $aAntarctica -- History 608 $aElectronic books. 615 4$aAntarctica -- Discovery and exploration. 615 4$aAntarctica -- Environmental conditions. 615 4$aAntarctica -- History. 676 $a998.9 700 $aDay$b David$0477739 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910463211503321 996 $aAntarctica$92168545 997 $aUNINA LEADER 03529nam 22006735 450 001 996466507603316 005 20220329163143.0 010 $a3-540-45589-2 024 7 $a10.1007/BFb0103999 035 $a(CKB)1000000000437282 035 $a(SSID)ssj0000324167 035 $a(PQKBManifestationID)12080840 035 $a(PQKBTitleCode)TC0000324167 035 $a(PQKBWorkID)10304197 035 $a(PQKB)11127623 035 $a(DE-He213)978-3-540-45589-9 035 $a(MiAaPQ)EBC6286512 035 $a(MiAaPQ)EBC5579094 035 $a(Au-PeEL)EBL5579094 035 $a(OCoLC)1066186681 035 $a(PPN)155189077 035 $a(EXLCZ)991000000000437282 100 $a20121227d2000 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aInvariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set$b[electronic resource] /$fby Karsten Keller 205 $a1st ed. 2000. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000. 215 $a1 online resource (XII, 208 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1732 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-67434-9 320 $aIncludes bibliographical references and index. 327 $a1. Introduction: Quadratic iteration and Julia equivalences. The Mandelbrot set -- 2. Abstract Julia sets: Symbolic dynamics of the angle-doubling map. Invariant laminations. Julia equivalences -- 3. The Abstract Mandelbrot set: The Abstract Mandelbrot set - an atlas of Abstract Julia sets. The ordered Abstract Mandelbrot set. Renormalization. Correspondence and Translation Principles -- 4. Abstract and concrete theory: Quadratic iteration. Miscellaneous. Appendix: Invariant and completely invariant factors. Simple statements. Shift-invariant factors. Further interesting examples. 330 $aThis book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. The theory obtained is illustrated in the complex plane. It is used to give rigorous proofs of some well-known and some partially new statements on the structure of the Mandelbrot set. The text is intended for graduate students and researchers. Some elementary knowledge in topology and in functions of one complex variable is assumed. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1732 606 $aPartial differential equations 606 $aTopology 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000 615 0$aPartial differential equations. 615 0$aTopology. 615 14$aPartial Differential Equations. 615 24$aTopology. 676 $a514.74 686 $a37B10$2msc 686 $a54H20$2msc 686 $a30D05$2msc 700 $aKeller$b Karsten$4aut$4http://id.loc.gov/vocabulary/relators/aut$062627 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466507603316 996 $aInvariant factors, Julia equivalences and the (abstract) Mandelbrot set$978789 997 $aUNISA