Equations and analytical tools in mathematical physics : a concise introduction
著者
書誌事項
Equations and analytical tools in mathematical physics : a concise introduction
Springer , Science Press, c2021
- タイトル別名
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Shu xue wu li fang cheng yu jin jie gong ju
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注記
"Jointly published with Science Press"--T.p. verso
"Translation from the Chinese simplified language edition: Shu xue wu li fang cheng yu jin jie gong ju by Yichao Zhu, Science Press [c]2020"--T.p. verso
Includes bibliographical references (p. 247) and index
内容説明・目次
内容説明
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.
目次
Part I - Second-order Linear Partial Differential EquationsChapter 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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