Mathematical methods in physics and engineering with Mathematica
Demonstrates how to use Mathematica 4.x to solve difficult problems involving ordinary and partial differential equations and boundary value problems. This book helps readers learn by doing with step-by-step recipes useful in both new and classical applications. It includes explanations of various M...
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Chapman & Hall/CRC
2015
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/40689 |
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oai:scholar.dlu.edu.vn:DLU123456789-406892015-01-13T07:23:31Z Mathematical methods in physics and engineering with Mathematica Cap, Ferdinand Mathematical physics Data processing Engineering Demonstrates how to use Mathematica 4.x to solve difficult problems involving ordinary and partial differential equations and boundary value problems. This book helps readers learn by doing with step-by-step recipes useful in both new and classical applications. It includes explanations of various Mathematica commands with examples and exercises. 1. Introduction -- 1.1. What is a boundary problem? -- 1.2. Classification of partial differential equations -- 1.3. Types of boundary conditions and the collocation method -- 1.4. Differential equations as models for nature -- 2. Boundary problems of ordinary differential equations -- 2.1. Linear differential equations -- 2.2. Solving linear differential equations -- 2.3. Differential equations of physics and engineering -- 2.4. Boundary value problems and eigenvalues -- 2.5. Boundary value problems as initial value problems -- 2.6. Nonlinear ordinary differential equations -- 2.7. Solutions of nonlinear differential equations -- 3. Partial differential equations -- 3.1. Coordinate systems and separability -- 3.2. Methods to reduce partial to ordinary differential equations -- 3.3. method of characteristics -- 3.4. Nonlinear partial differential equations -- 4. Boundary problem with one closed boundary -- 4.1. Laplace and Poisson equations -- 4.2. Conformal mapping in two and three dimensions -- 4.3. D'Alembert wave equation and string vibrations -- 4.4. Helmholtz equation and membrane vibrations -- 4.5. Rods and the plate equation -- 4.6. Approximation methods -- 4.7. Variational calculus -- 4.8. Collocation methods -- 5. Boundary problems with two closed boundaries -- 5.1. Inseparable problems -- 5.2. Holes in the domain. Two boundaries belonging to different coordinate systems -- 5.3. Corners in the boundary -- 6. Nonlinear boundary problems -- 6.1. Some definitions and examples -- 6.2. Moving and free boundaries -- 6.3. Waves of large amplitudes. Solutions -- 6.4. rupture of an embankment-type water dam -- 6.5. Gas flow with combustion. 2015-01-13T07:23:31Z 2015-01-13T07:23:31Z 2003 Book 1584884029 9781584884026 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/40689 en image/vnd.djvu Chapman & Hall/CRC |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Mathematical physics Data processing Engineering |
| spellingShingle |
Mathematical physics Data processing Engineering Cap, Ferdinand Mathematical methods in physics and engineering with Mathematica |
| description |
Demonstrates how to use Mathematica 4.x to solve difficult problems involving ordinary and partial differential equations and boundary value problems. This book helps readers learn by doing with step-by-step recipes useful in both new and classical applications. It includes explanations of various Mathematica commands with examples and exercises. |
| format |
Book |
| author |
Cap, Ferdinand |
| author_facet |
Cap, Ferdinand |
| author_sort |
Cap, Ferdinand |
| title |
Mathematical methods in physics and engineering with Mathematica |
| title_short |
Mathematical methods in physics and engineering with Mathematica |
| title_full |
Mathematical methods in physics and engineering with Mathematica |
| title_fullStr |
Mathematical methods in physics and engineering with Mathematica |
| title_full_unstemmed |
Mathematical methods in physics and engineering with Mathematica |
| title_sort |
mathematical methods in physics and engineering with mathematica |
| publisher |
Chapman & Hall/CRC |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/40689 |
| _version_ |
1819778543613116416 |