相關主題
商品描述
This textbook takes a streamlined, practical approach, designed to make engineering mathematics accessible and manageable for undergraduate students and instructors alike. Students will gain a fundamental understanding within the scope of a two-semester course.
This textbook introduces students to the fundamental principles of engineering mathematics through concise explanations, systematically guiding them from the basics of first-order, second-order, and higher-order ordinary differential equations (ODEs), Laplace transforms, and series solutions of ODEs. It then transitions to more advanced topics, including linear algebra, linear system of ODEs, vector differential calculus and vector integral calculus, Fourier analysis, partial differential equations (PDEs), and concludes with complex numbers, complex functions, and complex integration. The book presents fundamental principles systematically with concise explanations. It features categorized key concepts, detailed solutions, and alternative methods to connect material to prior knowledge. Exercises are thoughtfully organized, balancing problem-solving practice with real-world applications in fields like mechanical engineering, electrical engineering, chemical engineering, and so on. Notably, this book incorporates MATLAB(R) to enhance understanding. MATLAB-based examples simplify complex calculations, offering visualizations that connect theory and practice. Chapters also include optional advanced topics, providing deeper insights for motivated learners. Designed with practicality in mind, this book offers a balanced approach to mastering engineering mathematics, with a manageable workload aligned to academic schedules. It is an invaluable resource for instructors seeking effective teaching tools and for students aiming to build strong mathematical foundations that they can apply to their own engineering discipline.商品描述(中文翻譯)
這本教科書採取精簡且實用的方法，旨在使工程數學對本科生和教師都能夠輕鬆理解和管理。學生將在兩個學期的課程範圍內獲得基本的理解。
這本教科書通過簡明的解釋，向學生介紹工程數學的基本原則，系統地引導他們從一階、二階及高階常微分方程（ODEs）、拉普拉斯變換和常微分方程的級數解開始。接著轉向更高級的主題，包括線性代數、線性常微分方程系統、向量微積分和向量積分、傅立葉分析、偏微分方程（PDEs），並以複數、複函數和複積分作結。這本書系統地呈現基本原則，並提供簡明的解釋。它特別包含分類的關鍵概念、詳細的解題過程和替代方法，以將材料與先前的知識聯繫起來。練習題經過精心組織，平衡了問題解決的練習與機械工程、電氣工程、化學工程等領域的實際應用。值得注意的是，這本書融入了MATLAB(R)，以增強理解。基於MATLAB的範例簡化了複雜的計算，提供了將理論與實踐相連的視覺化效果。各章節還包括可選的進階主題，為有動力的學習者提供更深入的見解。
這本書以實用性為設計理念，提供了一種平衡的方法來掌握工程數學，並且工作量適中，與學術日程相符。對於尋求有效教學工具的教師和希望建立堅實數學基礎以應用於自身工程學科的學生來說，這是一本無價的資源。
作者簡介
Chul Ki Song is an Emeritus Professor in the School of Mechanical Engineering, Gyeongsang National University, Korea. He earned his Ph.D. degree from Seoul National University, Korea. He previously worked for KIA Motors.
Jong-Ryeol Kim is Professor in the Department of Electrical Engineering, Sejong University, Korea. He earned his Ph.D. degree from KAIST, Korea. He previously worked for Samsung Electronics.
作者簡介(中文翻譯)
宋哲基是韓國慶尚國立大學機械工程學院的名譽教授。他在韓國首爾國立大學獲得博士學位。之前曾在起亞汽車工作。
金鍾烈是韓國世宗大學電機工程系的教授。他在韓國科學技術院（KAIST）獲得博士學位。之前曾在三星電子工作。
