Morse theory:
One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study,...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
1973
|
| Ausgabe: | fifth printing |
| Schriftenreihe: | Annals of Mathematics Studies
51 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master." Milnor has published five books with Princeton University Press |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400881802 |
| DOI: | 10.1515/9781400881802 |
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| 520 | |a One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master." Milnor has published five books with Princeton University Press | ||
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Datensatz im Suchindex
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| author | Milnor, John Willard 1931- |
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| dewey-full | 513.8 513 |
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| dewey-ones | 513 - Arithmetic |
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| dewey-search | 513.8 513 |
| dewey-sort | 3513.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400881802 |
| edition | fifth printing |
| format | Electronic eBook |
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| id | DE-604.BV043712440 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400881802 |
| language | English |
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| publishDate | 1973 |
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| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Milnor, John Willard 1931- Verfasser (DE-588)119533073 aut Morse theory by John Milnor. Based on lecture notes by M. Spivak and R. Wells fifth printing Princeton, NJ Princeton University Press 1973 © 1969 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies 51 One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master." Milnor has published five books with Princeton University Press In English Morse theorie gtt Geometry, Differential Homotopy theory Morse-Theorie (DE-588)4197103-6 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Morse-Theorie (DE-588)4197103-6 s DE-604 Spivak, Michael 1940-2020 (DE-588)174089481 oth Wells, Raymond O. 1940- (DE-588)120568853 oth Erscheint auch als Druck-Ausgabe 0-691-08008-9 Annals of Mathematics Studies 51 (DE-604)BV040389493 51 https://doi.org/10.1515/9781400881802?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Milnor, John Willard 1931- Morse theory Annals of Mathematics Studies Morse theorie gtt Geometry, Differential Homotopy theory Morse-Theorie (DE-588)4197103-6 gnd |
| subject_GND | (DE-588)4197103-6 (DE-588)4113937-9 |
| title | Morse theory |
| title_auth | Morse theory |
| title_exact_search | Morse theory |
| title_full | Morse theory by John Milnor. Based on lecture notes by M. Spivak and R. Wells |
| title_fullStr | Morse theory by John Milnor. Based on lecture notes by M. Spivak and R. Wells |
| title_full_unstemmed | Morse theory by John Milnor. Based on lecture notes by M. Spivak and R. Wells |
| title_short | Morse theory |
| title_sort | morse theory |
| topic | Morse theorie gtt Geometry, Differential Homotopy theory Morse-Theorie (DE-588)4197103-6 gnd |
| topic_facet | Morse theorie Geometry, Differential Homotopy theory Morse-Theorie Hochschulschrift |
| url | https://doi.org/10.1515/9781400881802?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT milnorjohnwillard morsetheory AT spivakmichael morsetheory AT wellsraymondo morsetheory |