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Focusing on the methods of solving linear differential and difference equations, this book offers a thorough comparison of techniques such as variation of constants, reduction of order, and Laplace transforms. It examines equations of arbitrary order, particularly first and second order, and highlights differences in solutions based on coefficients. The text includes a detailed analysis of Green's functions, initial and boundary conditions, and features a unique dictionary of difference equations. Appendices provide proofs and derivations essential for understanding these mathematical concepts.
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Differential and Difference Equations, Leonard C. Maximon
- Taal
- Jaar van publicatie
- 2016
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- (Hardcover),
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- Titel
- Differential and Difference Equations
- Ondertitel
- A Comparison of Methods of Solution
- Taal
- Engels
- Auteurs
- Leonard C. Maximon
- Uitgever
- Springer
- Jaar van publicatie
- 2016
- Formaat
- Hardcover
- Aantal pagina's
- 177
- ISBN10
- 331929735X
- ISBN13
- 9783319297354
- Reeks
- Tags
- Non-fictie, Wetenschap en Wiskunde, Natuur, Natuurwetenschappen, Wiskunde, Fysica, Natuur, dieren
- Aantekening
- Focusing on the methods of solving linear differential and difference equations, this book offers a thorough comparison of techniques such as variation of constants, reduction of order, and Laplace transforms. It examines equations of arbitrary order, particularly first and second order, and highlights differences in solutions based on coefficients. The text includes a detailed analysis of Green's functions, initial and boundary conditions, and features a unique dictionary of difference equations. Appendices provide proofs and derivations essential for understanding these mathematical concepts.