Handbook of Linear Partial Differential Equations for Engineers and Scientists
暫譯: 工程師與科學家的線性偏微分方程手冊

Polyanin, Andrei D., Nazaikinskii, Vladimir E.

  • 出版商: CRC
  • 出版日期: 2026-08-26
  • 售價: $11,070
  • 貴賓價: 9.5$10,516
  • 語言: 英文
  • 頁數: 1293
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032780010
  • ISBN-13: 9781032780016
  • 相關分類: 工程數學 Engineering-mathematics
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Characteristic Features

- Includes nearly 4,000 linear partial differential equations (PDEs) with solutions

- Presents solutions to numerous problems relevant to heat and mass transfer, wave theory, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction theory, quantum mechanics, chemical engineering sciences, electrical engineering, and other fields

- Outlines basic analytical methods for solving various problems in science and engineering

- Contains many more linear PDEs, problems, solutions, and transformations than any other book currently available

- Provides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs.

New to the Third Edition

- Chapter on linear ODEs and PDEs with delays

- Chapter on linear ODEs and PDEs with fractional derivatives

- Some individual PDEs, solutions, transformations, formulas, and problems

- Two sections on special functions used to solve linear ODEs and PDEs with delay or fractional derivatives.

To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, and they outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity.

商品描述(中文翻譯)

**特徵功能**

- 包含近 4,000 個線性偏微分方程 (PDE) 及其解
- 提供與熱傳遞、質量傳遞、波動理論、水動力學、空氣動力學、彈性學、聲學、電動力學、衍射理論、量子力學、化學工程科學、電機工程及其他領域相關的眾多問題的解答
- 概述了解決科學和工程中各種問題的基本分析方法
- 包含比目前任何其他書籍更多的線性 PDE、問題、解答和變換
- 提供一個數據庫,用於數值和近似解析方法解決線性 PDE 及耦合 PDE 系統的測試問題。

**第三版的新內容**

- 關於帶延遲的線性常微分方程 (ODE) 和偏微分方程 (PDE) 的章節
- 關於帶分數導數的線性 ODE 和 PDE 的章節
- 一些個別的 PDE、解答、變換、公式和問題
- 兩個部分專門介紹用於解決帶延遲或分數導數的線性 ODE 和 PDE 的特殊函數。

為了適應不同的數學背景,作者在可能的情況下避免使用特殊術語,並以示意圖和簡化的方式概述一些方法,並將材料按複雜性逐步排列。

作者簡介

Andrei D. Polyanin, D.Sc., is an internationally renowned scientist of broad interests and is active in various areas of mathematics, mechanics, and chemical engineering sciences. He is one of the most prominent authors in the field of reference literature on mathematics. Professor Polyanin graduated with honors from the Faculty of Mechanics and Mathematics at Lomonosov Moscow State University in 1974. He received his Ph.D. in 1981 and D.Sc. in 1986 at the Institute for Problems in Mechanics of the Russian Academy of Sciences. Since 1975, Professor Polyanin has been working at the Institute for Problems in Mechanics of the Russian Academy of Sciences. He is also professor of applied mathematics at Bauman Moscow State Technical University and at National Research Nuclear University MEPhI. He is a member of the Russian National Committee on Theoretical and Applied Mechanics and the Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation. Professor Polyanin has authored more than 30 books in English, Russian, German, and Bulgarian as well as more than 300 research papers, three patents, and a number of fundamental handbooks. Professor Polyanin is editor-in-chief of the website EqWorld--The World of Mathematical Equations, editor of the book series Differential and Integral Equations and Their Applications, and a member of the editorial board of the journals Theoretical Foundations of Chemical Engineering, Mathematical Modeling and Computational Methods, and Bulletin of the National Research Nuclear University MEPhI. In 1991, Professor Polyanin was awarded the Chaplygin Prize of the Russian Academy of Sciences for his research in mechanics. In 2001, he received an award from the Ministry of Education of the Russian Federation.

Vladimir E. Nazaikinskii, D.Sc., is an actively working mathematician specializing in partial differential equations, mathematical physics, and noncommutative analysis. He was born in 1955 in Moscow, graduated from the Moscow Institute of Electronic Engineering in 1977, defended his Ph.D. in 1980 and D.Sc. in 2014, and worked at the Institute for Automated Control Systems, Moscow Institute of Electronic Engineering, Potsdam University, and Moscow State University. Currently he is a senior researcher at the Institute for Problems in Mechanics, Russian Academy of Sciences. He is the author of seven monographs and more than 150 papers on various aspects of noncommutative analysis, asymptotic problems, and elliptic theory.

作者簡介(中文翻譯)

安德烈·D·波利亞寧,科學博士,是一位國際知名的科學家,擁有廣泛的興趣,並活躍於數學、力學和化學工程科學的各個領域。他是數學參考文獻領域中最傑出的作者之一。波利亞寧教授於1974年以優異成績畢業於莫斯科國立大學的力學與數學系。他於1981年獲得博士學位,並於1986年在俄羅斯科學院力學問題研究所獲得科學博士學位。自1975年以來,波利亞寧教授一直在俄羅斯科學院力學問題研究所工作。他同時也是莫斯科巴曼國立技術大學和國立研究核能大學MEPhI的應用數學教授。他是俄羅斯國家理論與應用力學委員會及俄羅斯聯邦高等認證委員會數學與力學專家委員會的成員。波利亞寧教授已出版超過30本英語、俄語、德語和保加利亞語的書籍,以及300多篇研究論文、三項專利和多本基礎手冊。波利亞寧教授是網站EqWorld--數學方程的世界的主編,書系列微分與積分方程及其應用的編輯,以及期刊化學工程的理論基礎、數學建模與計算方法國立研究核能大學MEPhI通訊的編輯委員會成員。1991年,波利亞寧教授因其在力學方面的研究獲得俄羅斯科學院的查普利金獎。2001年,他獲得俄羅斯聯邦教育部的獎勵。

弗拉基米爾·E·納扎伊金斯基,科學博士,是一位專注於偏微分方程、數學物理和非交換分析的活躍數學家。他於1955年出生於莫斯科,1977年畢業於莫斯科電子工程學院,1980年獲得博士學位,2014年獲得科學博士學位,並曾在自動控制系統研究所、莫斯科電子工程學院、波茨坦大學和莫斯科國立大學工作。目前,他是俄羅斯科學院力學問題研究所的高級研究員。他是七本專著的作者,並在非交換分析、漸近問題和橢圓理論的各個方面發表了150多篇論文。