| 000 | 02330nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9780511844621 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160224.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 101028s2010||||enk o ||1 0|eng|d | ||
| 020 | _a9780511844621 (ebook) | ||
| 020 | _z9780521857017 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA387 _b.M36 2010 |
| 082 | 0 | 0 |
_a512.55 _222 |
| 100 | 1 |
_aMansfield, Elizabeth Louise, _eauthor. |
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| 245 | 1 | 2 |
_aA practical guide to the invariant calculus / _cElizabeth Louise Mansfield. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
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| 300 |
_a1 online resource (xii, 247 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge monographs on applied and computational mathematics ; _v26 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThis book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of generators of algebras of differential invariants, and the relations they satisfy, are discussed in detail. The author demonstrates how new ideas lead to significant progress in two main applications: the solution of invariant ordinary differential equations and the structure of Euler-Lagrange equations and conservation laws of variational problems. The expository language used here is primarily that of undergraduate calculus rather than differential geometry, making the topic more accessible to a student audience. More sophisticated ideas from differential topology and Lie theory are explained from scratch using illustrative examples and exercises. This book is ideal for graduate students and researchers working in differential equations, symbolic computation, applications of Lie groups and, to a lesser extent, differential geometry. | ||
| 650 | 0 | _aLie groups. | |
| 650 | 0 | _aCalculus. | |
| 650 | 0 | _aInvariants. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521857017 |
| 830 | 0 |
_aCambridge monographs on applied and computational mathematics ; _v26. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511844621 |
| 999 |
_c517053 _d517051 |
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