Singularities of Differentiable Maps: Volume I: The Classification of Critical Points Caustics and Wave Fronts
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1985
|
| Schriftenreihe: | Monographs in Mathematics
82 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | ... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics) |
| Beschreibung: | 1 Online-Ressource (396p) |
| ISBN: | 9781461251545 9781461295891 |
| DOI: | 10.1007/978-1-4612-5154-5 |
Internformat
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| 245 | 1 | 0 | |a Singularities of Differentiable Maps |b Volume I: The Classification of Critical Points Caustics and Wave Fronts |c by V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko |
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Datensatz im Suchindex
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| author | Arnolʹd, V. I. 1937-2010 |
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| author_sort | Arnolʹd, V. I. 1937-2010 |
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| bvnumber | BV042420366 |
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| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
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| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-5154-5 |
| format | Electronic eBook |
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| id | DE-604.BV042420366 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461251545 9781461295891 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855783 |
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| publishDate | 1985 |
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| series2 | Monographs in Mathematics |
| spelling | Arnolʹd, V. I. 1937-2010 Verfasser (DE-588)119540878 aut Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts by V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko Boston, MA Birkhäuser Boston 1985 1 Online-Ressource (396p) txt rdacontent c rdamedia cr rdacarrier Monographs in Mathematics 82 ... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics) Mathematics Global differential geometry Cell aggregation / Mathematics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Gusejn-Zade, Sabir M. Sonstige (DE-588)170920453 oth Varčenko, Aleksandr N. 1949- Sonstige (DE-588)115203257 oth https://doi.org/10.1007/978-1-4612-5154-5 Verlag Volltext |
| spellingShingle | Arnolʹd, V. I. 1937-2010 Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts Mathematics Global differential geometry Cell aggregation / Mathematics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik |
| title | Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts |
| title_auth | Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts |
| title_exact_search | Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts |
| title_full | Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts by V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko |
| title_fullStr | Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts by V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko |
| title_full_unstemmed | Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts by V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko |
| title_short | Singularities of Differentiable Maps |
| title_sort | singularities of differentiable maps volume i the classification of critical points caustics and wave fronts |
| title_sub | Volume I: The Classification of Critical Points Caustics and Wave Fronts |
| topic | Mathematics Global differential geometry Cell aggregation / Mathematics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik |
| topic_facet | Mathematics Global differential geometry Cell aggregation / Mathematics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik |
| url | https://doi.org/10.1007/978-1-4612-5154-5 |
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