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Record Nr. |
UNINA9910502645003321 |
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Autore |
Zhu Yichao |
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Titolo |
Equations and Analytical Tools in Mathematical Physics : A Concise Introduction / / by Yichao Zhu |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 |
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ISBN |
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Edizione |
[1st ed. 2021.] |
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Descrizione fisica |
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1 online resource (255 pages) |
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Collana |
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Physics and Astronomy Series |
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Disciplina |
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Soggetti |
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Mathematical physics |
Mathematics |
Differential equations |
Mathematical Methods in Physics |
Applications of Mathematics |
Mathematical Physics |
Differential Equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Part I – Second-order Linear Partial Differential Equations -- Chapter 1 Wave Equation -- Chapter 2 Heat Equation -- Chapter 3 Poisson’s Equation -- Chapter 4 Discussion on Second-order Linear Partial Differential Equations -- Part II – Special Functions -- Chapter 5 Bessel Function -- Chapter 6 Legendre Polynomial -- Chapter 7 Special Functions through Hypergeometric Function. |
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Sommario/riassunto |
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This book highlights a concise and readable introduction to typical treatments of partial differential equations in mathematical physics. Mathematical physics is regarded by many as a profound discipline. In conventional textbooks of mathematical physics, the known and the new pieces of knowledge often intertwine with each other. The book aims to ease readers' struggle by facilitating a smooth transition to new knowledge. To achieve so, the author designs knowledge maps before each chapter and provides comparative summaries in each chapter whenever appropriate. Through these unique ways, readers can clarify the underlying structures among different equations and extend one's |
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