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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,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, New Jersey :
Princeton University Press,
[1969]
|
| Colección: | Annals of mathematics studies ;
no. 51. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | JSTOR_ocn979581033 | ||
| 003 | OCoLC | ||
| 005 | 20231005004200.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 160711s1969 nyua ob 000 0 eng d | ||
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| 019 | |a 992891502 | ||
| 020 | |a 9781400881802 |q (electronic book) | ||
| 020 | |a 1400881803 |q (electronic book) | ||
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| 037 | |a 22573/ctv3f9v23 |b JSTOR | ||
| 050 | 4 | |a QA611 |b .M55 1969 | |
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| 082 | 0 | 4 | |a 514 |2 23 |
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| 049 | |a UAMI | ||
| 100 | 1 | |a Milnor, John W. |q (John Willard), |d 1931- |e author. | |
| 245 | 1 | 0 | |a Morse theory / |c by J. Milnor ; based on lecture notes by M. Spivak and R. Wells. |
| 264 | 1 | |a Princeton, New Jersey : |b Princeton University Press, |c [1969] | |
| 300 | |a 1 online resource (viii, 153 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 347 | |b PDF | ||
| 490 | 1 | |a Annals of mathematics studies, |x 0066-2313 ; |v number 51 | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | 0 | |g Part I. |t Non-degenerate smooth functions on a manifold ; |t Introduction -- |t Definitions and lemmas -- |t Homotopy type in terms of critical values -- |t Examples -- |t The Morse inequalities -- |t Manifolds in Euclidean space : the existence of non-degenerate functions -- |t The Lefschetz theorem on hyperplane sections -- |g Part II. |t A rapid course in Riemannian geometry ; |t Covariant differentiation -- |t The curvature tensor -- |t Geodesics and completeness -- |g Part III. |t The calculus of variations applied to geodesics ; |t The path space of a smooth manifold -- |t The energy of a path -- |t The Hessian of the energy function at a critical path -- |t Jacobi fields : the null-space of E [subscript]** -- |t The Index theorem -- |t A finite dimensional approximation to [omega][superscript] c -- |t The topology of the full path space -- |t Existence of non-conjugate points -- |t Some relations between topology and curvature -- |g Part IV. |t Applications to Lie groups and symmetric spaces ; |t Symmetric spaces -- |t Lie groups as symmetric spaces -- |t Whole manifolds of minimal geodesics -- |t The Bott periodicity theorem for the unitary group -- |t The Periodicity theorem for the orthogonal group -- |g Appendix. |t The homotopy type of a monotone union. |
| 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. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on January 28, 2020). | |
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Morse theory. | |
| 650 | 0 | |a Homotopy theory. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 6 | |a Théorie de Morse. | |
| 650 | 6 | |a Homotopie. | |
| 650 | 6 | |a Géométrie différentielle. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a Morse theory |2 fast | |
| 650 | 7 | |a Geometry, Differential |2 fast | |
| 650 | 7 | |a Homotopy theory |2 fast | |
| 700 | 1 | |a Spivak, Michael, |e author of notes. | |
| 700 | 1 | |a Wells, Robert. |c (Mathematician) |e author of notes. | |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 51. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctv3f8rb6 |z Texto completo |
| 938 | |a De Gruyter |b DEGR |n 9781400881802 | ||
| 994 | |a 92 |b IZTAP | ||