Multivariable Calculus with Mathematica
暫譯: 使用 Mathematica 的多變量微積分

《使用 Mathematica 的多變量微積分》是一本針對多變量微積分的教科書。書中不僅僅是使用 Mathematica 直接解決問題，而是鼓勵學生學習語法並撰寫自己的程式碼來解決問題。這不僅促進了科學計算技能，同時也強調了對數學的全面理解。每章結尾提供問題以測試學生對數學的理論理解，還有計算機代數問題，測試學生在非平凡情況下應用知識的能力。

特色

• 確保學生不僅僅是使用套件直接解決問題，而是學習語法以撰寫自己的程式碼來解決問題


• 適合作為微積分 III 課程的主要教科書，以及科學計算、工程和數學物理主題的補充教材


• 以吸引學生興趣的風格撰寫，並鼓勵對數學概念的理解

Robert P. Gilbert is an applied analyst, who began studying function theoretic methods applied to partial differential equations. He and Jerry Hile originated the method of generalized hyperanalytic function theory. Professor Gilbert and James Buchanan applied this methodology to elastic materials. Further applications of the function theoretic method were made by Robert Gilbert, Steve Xu and James Buchanan to marine acoustics and inverse problems. From this point on Dr. Gilbert's research centered on bio-medical research, in particular the study of the rigidity of human bone and the disease osteoporosis. This research was twin pronged, part being focussed on cell-biology, with James Buchanan, and the other with Alex Panchenko on the homogenization of the micro-differential equations involved with bone mechanics. Further investigations were made in collaboration with Yvonne Ou and Michael Shoushani. Professor Gilbert became a full professor at Indiana University, Bloomington at the age of 34. At 43 he became the Unidell Foundation Chair of Mathematics at the University of Delaware. He has published over 300 articles in professional journals and conference proceedings. He is the Founding Editor of two mathematics journals Complex Variables and Applicable Analysis.

M. Yvonne Ou is an applied mathematician specializing in inverse problems, computational mathematics and rational approximations. Prior to joining the faculty of the Department of Mathematical Sciences, where she is currently a tenured associate professor, she was a research scientist member of the Computational Mathematics Group in the Oak Ridge Laboratory. This is her first book.

Michael Shoushani is an applied mathematician at Western Connecticut State University. His research interests are in transmission and inverse problems specifically related to poro-elasticity, partial differential equations, and numerical methods for partial differential equations. Professor Shoushani received his BA in mathematics from Western Connecticut State University and his MS and PhD both in Applied Mathematics from the University of Delaware.

羅伯特·P·吉爾伯特是一位應用分析師，開始研究應用於偏微分方程的函數理論方法。他與傑瑞·海爾（Jerry Hile）共同創立了廣義超解析函數理論的方法。吉爾伯特教授與詹姆斯·布坎南（James Buchanan）將這一方法應用於彈性材料。羅伯特·吉爾伯特、史蒂夫·徐（Steve Xu）和詹姆斯·布坎南進一步將函數理論方法應用於海洋聲學和反問題。從此以後，吉爾伯特博士的研究重心轉向生物醫學研究，特別是人類骨骼的剛性及骨質疏鬆症的研究。這項研究有兩個方面，一方面專注於細胞生物學，與詹姆斯·布坎南合作，另一方面則與亞歷克斯·潘琴科（Alex Panchenko）合作，研究與骨力學相關的微分方程的均質化。吉爾伯特教授還與尤雲·歐（Yvonne Ou）和邁克爾·肖沙尼（Michael Shoushani）進行了進一步的調查。吉爾伯特教授在34歲時成為印第安納大學布盧明頓校區的正教授，43歲時成為德拉瓦大學的尤尼德基金會數學講座教授。他在專業期刊和會議論文集中發表了300多篇文章。他是兩本數學期刊《複變數》（Complex Variables）和《應用分析》（Applicable Analysis）的創始編輯。

尤雲·歐是一位應用數學家，專注於反問題、計算數學和有理近似。在加入數學科學系的教職之前，她曾是橡樹嶺實驗室計算數學小組的研究科學家。這是她的第一本書。

邁克爾·肖沙尼是西康乃狄克州立大學的應用數學家。他的研究興趣集中在與孔隙彈性、偏微分方程及其數值方法相關的傳輸和反問題上。肖沙尼教授在西康乃狄克州立大學獲得數學學士學位，並在德拉瓦大學獲得應用數學的碩士和博士學位。