Mathematical Methods for Engineering and Science (工程與科學的數學方法)
Potter, Merle C., Feeny, Brian F.
- 出版商: Springer
- 出版日期: 2024-03-10
- 售價: $2,680
- 貴賓價: 9.5 折 $2,546
- 語言: 英文
- 頁數: 500
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031261534
- ISBN-13: 9783031261534
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商品描述
This book introduces undergraduate students of engineering and science to applied mathematics essential to the study of many problems. Topics are differential equations, power series, Laplace transforms, matrices and determinants, vector analysis, partial differential equations, complex variables, and numerical methods. Approximately, 160 examples and 1000 homework problems aid students in their study. This book presents mathematical topics using derivations rather than theorems and proofs. This textbook is uniquely qualified to apply mathematics to physical applications (spring-mass systems, electrical circuits, conduction, diffusion, etc.), in a manner that is efficient and understandable.
This book is written to support a mathematics course after differential equations, to permit several topics to be covered in one semester, and to make the material comprehensible to undergraduates. An Instructor Solutions Manual, and also a Student Solutions Manual that provides solutions to select problems, is available.
商品描述(中文翻譯)
本書向工程和科學的本科生介紹應用數學,這對於研究許多問題至關重要。主題包括微分方程、冪級數、拉普拉斯變換、矩陣與行列式、向量分析、偏微分方程、複變數以及數值方法。書中約有160個範例和1000個作業題目,幫助學生進行學習。本書以推導的方式呈現數學主題,而非定理和證明。這本教科書在將數學應用於物理應用(如彈簧-質量系統、電路、導熱、擴散等)方面具有獨特的優勢,方式高效且易於理解。
本書旨在支持微分方程後的數學課程,允許在一個學期內涵蓋多個主題,並使材料對本科生易於理解。此外,還提供了教學解答手冊,以及一份學生解答手冊,該手冊提供選定問題的解答。
作者簡介
Merle C. Potter graduated with honors from MTU in 1958 with a B.S. degree in Mechanical Engineering and continued his education in Engineering Mechanics earning an M.S. degree from MTU in 1961. He continued his graduate education at the University of Michigan and earned a second M.S. degree in Aerospace Engineering in 1964 and a Ph.D. in Engineering Mechanics in 1965. Merle began his teaching career at Michigan Tech as an instructor in 1958. While pursuing his graduate degrees from the University of Michigan, he held the positions of the teaching fellow and instructor. Merle began an over thirty-year career with Michigan State University in 1965 as an assistant professor. He was promoted to an associate professor in 1969 and became a full professor in 1971. Merle retired and was given the title of the professor emeritus in 1994 and assisted the university as a visiting professor until 1998. For over forty years, Merle has had a significant influence on the engineering profession both as a professor and an author. He has written and co-authored many books on fluid mechanics, mathematical methods, thermodynamics, differential equations and review guides for the GRE, GMAT, fundamentals of engineering, and professional engineering exams. Merle has published nearly twenty archived journal papers, was the advisor for fourteen Ph.D. students, and was the recipient of several. NSF grants to support his research efforts. Merle was a member of Tau Beta Pi and ASME while a student at MTU. He has also participated in Phi Eta Sigma, Phi Kappa Phi, Pi Tau Sigma, Sigma Xi, ASEE, and AAM and was an active member of many major MSU committees. Merle has been honored with the Ford Faculty Scholarship in l961, the Teacher Scholar Award in 1969, the ASME Centennial Award in 1980, and the James Harry Potter Gold Medal in 2008.
Brian F. Feeny is a professor in the Department of Mechanical Engineering at Michigan State University. He obtained a B.S. with honors in Engineering Mechanics from the University of Wisconsin in 1984, an M.S. in Engineering Mechanics from Virginia Tech in 1986, and his Ph.D. in Theoretical and Applied Mechanics from Cornell University in 1990. He then held a postdoc in the Institute of Robotics at the Swiss Federal Institute of Technology (ETH) in Zürich and joined Michigan State University as an assistant professor in 1992. During his time at MSU, Brian has held visiting appointments at the National Institute of Standards and Technologies Manufacturing Engineering Lab and the Huazhong Agricultural University. He is a fellow of the American Society of Mechanical Engineers (ASME). He served as the chair of the ASME Technical Committee on Vibration and Sound and as an associate editor the ASME Journal of Vibration and Acoustics and the ASME Journal of Computational and Nonlinear Dynamics. He directs his department's student exchange program between MSU and RWTH Aachen. His research is in vibrations, and he has published and supervised graduate students in areas including modal decomposition, parametric excitation, chaos, vibration with friction, wind-turbine blade vibration, pendulum vibration absorbers, and bio-locomotion.
^作者簡介(中文翻譯)
梅爾·C·波特(Merle C. Potter)於1958年以優異成績從密西根科技大學(MTU)畢業,獲得機械工程學士學位,並於1961年在MTU繼續攻讀工程力學,獲得碩士學位。他在密西根大學繼續進修,於1964年獲得航空工程碩士學位,並於1965年獲得工程力學博士學位。梅爾於1958年在密西根科技大學開始他的教學生涯,並在攻讀密西根大學的碩士學位期間擔任教學助理和講師。1965年,他開始在密西根州立大學(Michigan State University)擔任助理教授,並於1969年晉升為副教授,1971年成為正教授。梅爾於1994年退休,獲頒名譽教授稱號,並在1998年之前擔任訪問教授,協助大學工作。在四十多年的教學生涯中,梅爾對工程專業產生了重大影響,無論是作為教授還是作為作者。他撰寫和合著了多本有關流體力學、數學方法、熱力學、微分方程以及GRE、GMAT、工程基礎和專業工程考試的複習指南的書籍。梅爾發表了近二十篇期刊論文,指導了十四位博士生,並獲得了幾項國家科學基金會(NSF)資助以支持他的研究工作。梅爾在MTU時期是Tau Beta Pi和ASME的成員,並參與了Phi Eta Sigma、Phi Kappa Phi、Pi Tau Sigma、Sigma Xi、ASEE和AAM等組織,並積極參與多個密西根州立大學的主要委員會。他曾獲得1961年的福特教職獎學金、1969年的教師學者獎、1980年的ASME百年獎和2008年的詹姆斯·哈利·波特金獎。
布萊恩·F·費尼(Brian F. Feeny)是密西根州立大學機械工程系的教授。他於1984年在威斯康辛大學獲得工程力學優異學士學位,1986年在維吉尼亞理工大學獲得工程力學碩士學位,並於1990年在康奈爾大學獲得理論與應用力學博士學位。隨後,他在瑞士聯邦理工學院(ETH)機器人研究所擔任博士後研究員,並於1992年加入密西根州立大學擔任助理教授。在密西根州立大學期間,布萊恩曾在國家標準與技術研究所的製造工程實驗室和華中農業大學擔任訪問職位。他是美國機械工程師學會(ASME)的會士,曾擔任ASME振動與聲音技術委員會的主席,以及ASME振動與聲音期刊和ASME計算與非線性動力學期刊的副編輯。他負責該系與亞琛工業大學(RWTH Aachen)之間的學生交流計畫。他的研究領域為振動,並在模態分解、參數激勵、混沌、摩擦振動、風力發電機葉片振動、擺式振動吸收器和生物運動等領域發表論文並指導研究生。