Applications of Lie's theory of ordinary and partial differential equations /
"Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions." "The theory has applications to both ordinary and partial differential equations and is not restricted to line...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Bristol ; Philadelphia :
Institute of Physics Pub.,
©1999.
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| Subjects: |
MARC
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| 020 | |a 0750305304 (hbk.) | ||
| 020 | |a 0750305312 (pbk.) | ||
| 035 | |a (OCoLC)40043604 | ||
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| 050 | 0 | 0 | |a QA372 |b .D72 1999 |
| 082 | 0 | 0 | |a 515/.35 |2 21 |
| 100 | 1 | |a Dresner, Lawrence | |
| 245 | 1 | 0 | |a Applications of Lie's theory of ordinary and partial differential equations / |c Lawrence Dresner. |
| 260 | |a Bristol ; |a Philadelphia : |b Institute of Physics Pub., |c ©1999. | ||
| 300 | |a xi, 225 pages : |b illustrations ; |c 23 cm | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages [217]-218) and index. | ||
| 505 | 0 | 0 | |g 1. |t One-Parameter Groups -- |g 2. |t First-Order Ordinary Differential Equations -- |g 3. |t Second-Order Ordinary Differential Equations -- |g 4. |t Similarity Solutions of Partial Differential Equations -- |g 5. |t Traveling-Wave Solutions -- |g 6. |t Approximate Methods -- |g App. A. |t Linear, First-Order Partial Differential Equations -- |g App. B. |t Riemann's Method of Characteristics -- |g App. C. |t The Calculus of Variations and the Euler-Lagrange Equation -- |g App. D. |t Computation of Invariants and First Differential Invariants from the Transformation Equations. |9 bnatoc |
| 520 | 1 | |a "Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions." "The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. This textbook provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasises clarity and immediacy of understanding rather than encyclopaedic completeness, rigour and generality. This enables readers quickly to grasp the essentials and start applying the methods to find solutions. Worked examples and problems are drawn from differential equations met in a wide range of scientific and engineering fields." "The book is aimed at professionals and students in applied mathematics, the physical sciences and engineering."--BOOK JACKET. |9 bnatoc | |
| 650 | 0 | |a Differential equations |x Numerical solutions | |
| 650 | 0 | |a Differential equations, Partial |x Numerical solutions | |
| 650 | 0 | |a Lie groups | |
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