Equations and Analytical Tools in Mathematical Physics - Yichao Zhu

Equations and Analytical Tools in Mathematical Physics

A Concise Introduction

(Autor)

Buch | Hardcover
252 Seiten
2021 | 1st ed. 2021
Springer Verlag, Singapore
978-981-16-5440-4 (ISBN)
160,49 inkl. MwSt
​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.

Dr. Yichao Zhu received his Ph.D. in applied mathematics from the University of Oxford in 2012. He is Associate Professor at the Department of Engineering Mechanics, Dalian University of Technology, China. His research interests include modeling and simulations of physical processes involving multiple temporal and spatial scales, especially the applications of mathematical tools in developing quantitative insights over problems in material sciences and engineering-related subjects.

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

Erscheinungsdatum
Zusatzinfo 29 Illustrations, color; 8 Illustrations, black and white; XII, 252 p. 37 illus., 29 illus. in color.
Verlagsort Singapore
Sprache englisch
Original-Titel Shu Xue Wu Li Fang Cheng Yu Jin Jie Gong Ju
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Bessel function • heat equation • hypergeometric function • Legendre polynomial • Mathematical Modelling • Partial differential equations • Poisson’s equation • Second-order linear partial differential equation • Special Functions • wave equation
ISBN-10 981-16-5440-9 / 9811654409
ISBN-13 978-981-16-5440-4 / 9789811654404
Zustand Neuware
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