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Equations and Analytical Tools in Mathematical Physics : A Concise Introduction / / by Yichao Zhu



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Autore: Zhu Yichao Visualizza persona
Titolo: Equations and Analytical Tools in Mathematical Physics : A Concise Introduction / / by Yichao Zhu Visualizza cluster
Pubblicazione: Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021
Edizione: 1st ed. 2021.
Descrizione fisica: 1 online resource (255 pages)
Disciplina: 515.353
Soggetto topico: Mathematical physics
Mathematics
Differential equations
Mathematical Methods in Physics
Applications of Mathematics
Mathematical Physics
Differential Equations
Nota di contenuto: 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.
Sommario/riassunto: 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 vision to the big picture. The book also emphasizes applications of the knowledge by providing practical examples. The book is intended for all those interested in mathematical physics, enabling them to develop a solid command in using partial differential equations to solve physics and engineering problems in a not-so-painful learning experience.
Titolo autorizzato: Equations and Analytical Tools in Mathematical Physics  Visualizza cluster
ISBN: 9789811654411
9811654417
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910502645003321
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Serie: Physics and Astronomy Series