03383nam 22006495 450 991050264500332120251113190421.09789811654411981165441710.1007/978-981-16-5441-1(CKB)5360000000049964(MiAaPQ)EBC6745502(Au-PeEL)EBL6745502(OCoLC)1274058895(PPN)258303182(MiFhGG)9789811654411(DE-He213)978-981-16-5441-1(EXLCZ)99536000000004996420211004d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierEquations and Analytical Tools in Mathematical Physics A Concise Introduction /by Yichao Zhu1st ed. 2021.Singapore :Springer Nature Singapore :Imprint: Springer,2021.1 online resource (255 pages)Physics and Astronomy Series9789811654404 9811654409 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.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.Physics and Astronomy SeriesMathematical physicsMathematicsDifferential equationsMathematical Methods in PhysicsApplications of MathematicsMathematical PhysicsDifferential EquationsMathematical physics.Mathematics.Differential equations.Mathematical Methods in Physics.Applications of Mathematics.Mathematical Physics.Differential Equations.515.353Zhu Yichao1072947MiAaPQMiAaPQMiAaPQBOOK9910502645003321Equations and Analytical Tools in Mathematical Physics2569152UNINA