Ordinary Differential Equations Mathematical Tools for Physicists /

This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE ). The book provides a detailed theoretical and numerical description of ODE. It presents a large variety of ODE and the chosen groups are used to solve a host of physical...

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Hlavní autor: Tahir-Kheli, Raza (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
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ISBN:9783319764061
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100 1 |a Tahir-Kheli, Raza.  |4 aut 
245 1 0 |a Ordinary Differential Equations   |h [electronic resource] :  |b Mathematical Tools for Physicists /  |c by Raza Tahir-Kheli. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XXII, 408 p. 65 illus., 1 illus. in color.  |b online resource. 
500 |a Physics and Astronomy  
505 0 |a Preface -- Differential Operator -- Some Definitions -- Linear Ordinary Differential Equations with Known Constant Coefficients (linODECC) -- Linear Ordinary Differential Equations with Known Variable Coefficients (linODEVC) -- Special Types of Differential Equations -- Special Situations -- OM -- RLC -- FROBSOL -- NUMSOL -- Answers to Problems from Various Chapters. 
516 |a text file PDF 
520 |a This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE ). The book provides a detailed theoretical and numerical description of ODE. It presents a large variety of ODE and the chosen groups are used to solve a host of physical problems. Solving these problems is of interest primarily to students of science, such as physics, engineering, biology and chemistry. Scientists are greatly assisted by using the DO obeying several simple algebraic rules. The book describes these rules and, to help the reader, the vocabulary and the definitions used throughout the text are provided. A thorough description of the relatively straightforward methodology for solving ODE is given. The book provides solutions to a large number of associated problems. ODE that are integrable, or those that have one of the two variables missing in any explicit form are also treated with solved problems. The physics and applicable mathematics are explained and many associated problems are analyzed and solved in detail. Numerical solutions are analyzed and the level of exactness obtained under various approximations is discussed in detail. . 
650 0 |a Physics. 
650 0 |a Differential equations. 
650 0 |a Mathematical physics. 
650 0 |a Mechanics. 
650 0 |a Mechanics, Applied. 
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