Cargando…
The Implicit Function Theorem History, Theory, and Applications /
The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differe...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Birkhäuser,
2013.
|
| Edición: | 1st ed. 2013. |
| Colección: | Modern Birkhäuser Classics,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-5981-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220116003334.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121116s2013 xxu| s |||| 0|eng d | ||
| 020 | |a 9781461459811 |9 978-1-4614-5981-1 | ||
| 024 | 7 | |a 10.1007/978-1-4614-5981-1 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBK |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Krantz, Steven G. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Implicit Function Theorem |h [electronic resource] : |b History, Theory, and Applications / |c by Steven G. Krantz, Harold R. Parks. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Birkhäuser, |c 2013. | |
| 300 | |a XIII, 163 p. |b online resource. | ||
| 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 |b PDF |2 rda | ||
| 490 | 1 | |a Modern Birkhäuser Classics, |x 2197-1811 | |
| 505 | 0 | |a Preface -- Introduction to the Implicit Function Theorem -- History -- Basic Ideas -- Applications -- Variations and Generalizations -- Advanced Implicit Function Theorems -- Glossary -- Bibliography -- Index. | |
| 520 | |a The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for Ck functions, (ii) formulations in other function spaces, (iii) formulations for non-smooth functions, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash-Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classic monograph. Originally published in 2002, The Implicit Function Theorem is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a History. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a History of Mathematical Sciences. |
| 700 | 1 | |a Parks, Harold R. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781461459828 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461459804 |
| 830 | 0 | |a Modern Birkhäuser Classics, |x 2197-1811 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4614-5981-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||