Partial Differential Equations: Analytical Methods and Applications
暫譯: 偏微分方程：解析方法與應用
Henner, Victor, Belozerova, Tatyana, Nepomnyashchy, Alexander
- 出版商: CRC
- 出版日期: 2023-03-29
- 售價: $2,300
- 貴賓價: 9.5 折 $2,185
- 語言: 英文
- 頁數: 396
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032475080
- ISBN-13: 9781032475080
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相關分類:
物理學 Physics
海外代購書籍(需單獨結帳)
相關主題
商品描述
Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners' course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor.
This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The "teaching-by-examples" approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book's level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses.
Highlights:
- Offers a complete first course on PDEs
- The text's flexible structure promotes varied syllabi for courses
- Written with a teach-by-example approach which offers numerous examples and applications
- Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions
- The text's graphical material makes excellent use of modern software packages
- Features numerous examples and applications which are suitable for readers studying the subject remotely or independently
商品描述(中文翻譯)
《偏微分方程：分析方法與應用》涵蓋了本科生偏微分方程（PDE）課程的所有基本主題，或是研究生初學者的課程。它提供了數學結果的定性物理解釋，同時保持了預期的嚴謹性。
本書介紹並促進必要的問題解決技能的實踐。內容簡潔且友好於讀者。以「範例教學」的方法提供了大量精心挑選的範例，逐步引導讀者學習概念和技術。書中包括傅立葉級數、斯圖姆-柳維爾問題、傅立葉變換和拉普拉斯變換。該書的呈現水平和結構非常適合用於工程、物理和應用數學課程。
重點：
- 提供完整的偏微分方程第一課程
- 本文的靈活結構促進了課程的多樣化大綱
- 以範例教學的方式撰寫，提供了大量範例和應用
- 包含額外主題，如斯圖姆-柳維爾問題、傅立葉和拉普拉斯變換以及特殊函數
- 本文的圖形材料充分利用了現代軟體包
- 特別提供了大量範例和應用，適合遠程或獨立學習該主題的讀者
作者簡介
Victor Henner is a professor at the Department of Physics and Astronomy at the University of Louisville. He has Ph.Ds from the Novosibirsk Institute of Mathematics in Russia and Moscow State University. He co-wrote with Tatyana Belozerova Ordinary and Partial Differential Equations.
Tatyana Belozerova is a professor at Perm State University in Russia. Along with Ordinary and Partial Differential Equations, she co-wrote with Victor Henner Mathematical Methods in Physics: Partial Differential Equations, Fourier Series, and Special Functions.
Alexander Nepomnyashchy is a mathematics professor at Northwestern University and hails from the Faculty of Mathematics at Technion-Israel Institute of Technology. His research interests include non-linear stability theory and pattern formation.
作者簡介(中文翻譯)
維克多·亨納（Victor Henner）是路易斯維爾大學物理與天文系的教授。他擁有來自俄羅斯新西伯利亞數學研究所和莫斯科國立大學的博士學位。他與塔季揚娜·貝洛澤羅娃（Tatyana Belozerova）共同撰寫了《常微分方程與偏微分方程（Ordinary and Partial Differential Equations）》一書。
塔季揚娜·貝洛澤羅娃（Tatyana Belozerova）是俄羅斯彼爾姆國立大學的教授。除了《常微分方程與偏微分方程（Ordinary and Partial Differential Equations）》外，她還與維克多·亨納（Victor Henner）共同撰寫了《物理中的數學方法：偏微分方程、傅立葉級數與特殊函數（Mathematical Methods in Physics: Partial Differential Equations, Fourier Series, and Special Functions）》一書。
亞歷山大·涅波姆尼亞什奇（Alexander Nepomnyashchy）是西北大學的數學教授，來自以色列理工學院的數學系。他的研究興趣包括非線性穩定性理論和模式形成。
