Fuchsian Reduction (Record no. 425420)
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000 -LEADER | |
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fixed length control field | 04132nam a22005775i 4500 |
020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
International Standard Book Number | 9780817646370 |
-- | 978-0-8176-4637-0 |
024 7# - | |
-- | 10.1007/978-0-8176-4637-0 |
-- | doi |
040 ## - | |
-- | ISI Library, Kolkata |
050 #4 - | |
-- | QA440-699 |
072 #7 - | |
-- | PBM |
-- | bicssc |
072 #7 - | |
-- | MAT012000 |
-- | bisacsh |
072 #7 - | |
-- | PBM |
-- | thema |
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
Classification number | 516 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Kichenassamy, Satyanad. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Fuchsian Reduction |
Medium | [electronic resource] : |
Remainder of title | Applications to Geometry, Cosmology, and Mathematical Physics / |
Statement of responsibility, etc | by Satyanad Kichenassamy. |
942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
Koha item type | E-BOOKS |
100 1# - MAIN ENTRY--PERSONAL NAME | |
-- | author. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
Place of production, publication, distribution, manufacture | Boston, MA : |
Name of producer, publisher, distributor, manufacturer | Birkhäuser Boston, |
Date of production, publication, distribution, manufacture | 2007. |
300 ## - | |
-- | XV, 289 p. |
-- | online resource. |
336 ## - CONTENT TYPE | |
Content Type Term | text |
Content Type Code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media Type Term | computer |
Media Type Code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier Type Term | online resource |
Carrier Type Code | cr |
Source | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - | |
-- | Progress in Nonlinear Differential Equations and Their Applications, |
-- | 1421-1750 ; |
-- | 71 |
505 0# - | |
-- | Fuchsian Reduction -- Formal Series -- General Reduction Methods -- Theory of Fuchsian Partial Di?erential Equations -- Convergent Series Solutions of Fuchsian Initial-Value Problems -- Fuchsian Initial-Value Problems in Sobolev Spaces -- Solution of Fuchsian Elliptic Boundary-Value Problems -- Applications -- Applications in Astronomy -- Applications in General Relativity -- Applications in Differential Geometry -- Applications to Nonlinear Waves -- Boundary Blowup for Nonlinear Elliptic Equations -- Background Results -- Distance Function and Hölder Spaces -- Nash–Moser Inverse Function Theorem. |
520 ## - | |
-- | Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein's equations and cosmology, stellar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for semilinear wave equations, Fuchsian reduction research has grown in response to those problems in pure and applied mathematics where numerical computations fail. This work unfolds systematically in four parts, interweaving theory and applications. The case studies examined in Part III illustrate the impact of reduction techniques, and may serve as prototypes for future new applications. In the same spirit, most chapters include a problem section. Background results and solutions to selected problems close the volume. This book can be used as a text in graduate courses in pure or applied analysis, or as a resource for researchers working with singularities in geometry and mathematical physics. |
650 #0 - | |
-- | Geometry. |
650 #0 - | |
-- | Differential equations, partial. |
650 #0 - | |
-- | Mathematics. |
650 #0 - | |
-- | Global differential geometry. |
650 #0 - | |
-- | Mathematical physics. |
650 #0 - | |
-- | Astrophysics. |
650 14 - | |
-- | Geometry. |
-- | http://scigraph.springernature.com/things/product-market-codes/M21006 |
650 24 - | |
-- | Partial Differential Equations. |
-- | http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 24 - | |
-- | Applications of Mathematics. |
-- | http://scigraph.springernature.com/things/product-market-codes/M13003 |
650 24 - | |
-- | Differential Geometry. |
-- | http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 24 - | |
-- | Mathematical Methods in Physics. |
-- | http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 24 - | |
-- | Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). |
-- | http://scigraph.springernature.com/things/product-market-codes/P22030 |
710 2# - | |
-- | SpringerLink (Online service) |
773 0# - | |
-- | Springer eBooks |
776 08 - | |
-- | Printed edition: |
-- | 9780817670740 |
776 08 - | |
-- | Printed edition: |
-- | 9780817643522 |
830 #0 - | |
-- | Progress in Nonlinear Differential Equations and Their Applications, |
-- | 1421-1750 ; |
-- | 71 |
856 40 - | |
-- | https://doi.org/10.1007/978-0-8176-4637-0 |
912 ## - | |
-- | ZDB-2-SMA |
950 ## - | |
-- | Mathematics and Statistics (Springer-11649) |
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