Differential Geometry and Its Visualization
暫譯: 微分幾何及其可視化

《微分幾何及其可視化》適合用於研究生級別的微分幾何課程，服務於學生和教師。它也可以作為數學及自然科學和工程科學研究的補充參考資料。

微分幾何是利用數學分析方法研究幾何物體及其性質的學科。前三章介紹了三維歐幾里得空間中曲線和曲面的經典理論。最後兩章則研究了張量代數、黎曼空間和張量分析的抽象和現代主題。書中包含大量的示例、可視化以及作者自創軟體生成的真實圖形，以支持對所呈現概念和結果的理解，並發展對幾何物體形狀、性質及其之間關係的充分認識。

特色

• 廣泛的全彩可視化


• 大量練習題


• 自成體系且全面的主題處理

Eberhard Malkowsky is a Full Professor of Mathematics in retirement at the State University of Novi Pazar in Serbia. He earned his Ph.D. degree and habilitation at the Department of Mathematics of the Justus-Liebig Universität Giessen in Germany in 1982 and 1988, respectively. He was a professor of mathematics at universities in Germany, South Africa, Jordan, Turkey and Serbia, and a visiting professor in the USA, India, Hungary and France. Furthermore, he participated as an invited or keynote speaker with more than 100 lectures in international scientific conferences and congresses. He is a member of the editorial boards of twelve journals of international repute. His list of publications contains 175 research papers in international journals. He is the author or co-author of nine books, and the editor or co-editor of six proceedings of international conferences. He supervised 6 Ph.D. theses and a great number of B.Sc. and M.Sc. theses in mathematics. His research and work areas include functional analysis, differential geometry and software development for the visualization of mathematics.

Ćemal Dolicanin is a Professor Emeritus at the Department of Sciences and Mathematics at the State University of Novi Pazar in Serbia and a member of the Serbian Academy of Non-linear Sciences. He was dean of the Electro-Technical Faculty and the Faculty of Technical Sciences in Pristina, vice-rector of the University of Pristina and founder and rector of the State University of Novi Pazar, Serbia. He obtained his M.Sc. degree at the Faculty of Mathematics of the University of Belgrade in 1974, and his Ph.D. degree at the Faculty of Sciences and Mathematics of the University of Pristina in 1980. He published more than 20 books, 23 papers in national scientific journals, 41 papers in international scientific journals, and gave more than 50 lectures at international scientific conferences.

He was a visiting professor in Germany, Belorussia and Russia. He supervised 14 PhD theses and a great number of B.Sc. and M.Sc. theses in mathematics. His research and work areas include Euclidean and non-Euclidean geometry, differential geometry and applied mathematics. He is very active in promoting mathematics, and has established the Center for the Advancement and Popularization of Mathematics at the State University of Novi Pazar. He participated in the implementation of several national scientific projects TEMPUS projects and was the coordinator of Master's study programs with the World University Service Austria (WUS).

Vesna Veličkovic is a Professor at the Department of Computer Science at the Faculty of Sciences and Mathematics of the University of Nis, Serbia. She obtained her magister degree at the Faculty of Mathematics of the University of Belgrade in 1996, and her Ph.D. degree at the Faculty of Sciences and Mathematics of the University of Nis in 2012. She published 3 books, 30 papers in international scientific journals, 12 papers in national scientific journals, and gave more than 50 lectures at international scientific conferences. She participated in 3 international scientific and 4 software projects, and 7 study visits in Serbia, Germany, Bulgaria, Romania and Turkey. Together with Professor Malkowsky, she is developing the software MV-Graphics for visualization of mathematics. With large-format graphics, they participated in three exhibitions of mathematical art. For ten years she worked with pupils talented in mathematics and programming. Her students won a number of medals at International Olympiads in Informatics. She is still very active in organizing contests in programming and promoting of mathematics. Her research areas are software development, computer graphics and visualization of mathematics.

Eberhard Malkowsky 是塞爾維亞諾維帕扎爾州立大學的退休數學全職教授。他於1982年和1988年分別在德國吉森的尤斯圖斯-利比希大學數學系獲得博士學位和資格認證。他曾在德國、南非、約旦、土耳其和塞爾維亞的多所大學擔任數學教授，並在美國、印度、匈牙利和法國擔任訪問教授。此外，他在國際科學會議和大會上作為受邀或主題演講者發表了超過100場演講。他是十二本國際知名期刊的編輯委員會成員。他的出版物清單中包含175篇國際期刊的研究論文。他是九本書的作者或合著者，並且是六本國際會議論文集的編輯或共同編輯。他指導了6篇博士論文以及大量的學士和碩士論文，研究和工作領域包括泛函分析、微分幾何以及數學可視化的軟體開發。

Ćemal Dolicanin 是塞爾維亞諾維帕扎爾州立大學科學與數學系的名譽教授，也是塞爾維亞非線性科學學院的成員。他曾擔任普里什蒂納電氣技術學院和技術科學學院的院長，普里什蒂納大學的副校長，以及塞爾維亞諾維帕扎爾州立大學的創辦人和校長。他於1974年在貝爾格萊德大學數學系獲得碩士學位，並於1980年在普里什蒂納大學科學與數學系獲得博士學位。他出版了超過20本書籍、23篇國內科學期刊論文、41篇國際科學期刊論文，並在國際科學會議上發表了超過50場演講。

他曾在德國、白俄羅斯和俄羅斯擔任訪問教授。他指導了14篇博士論文以及大量的學士和碩士論文，研究和工作領域包括歐幾里得和非歐幾里得幾何、微分幾何和應用數學。他在推廣數學方面非常活躍，並在諾維帕扎爾州立大學成立了數學推廣與普及中心。他參與了幾個國家科學項目的實施，包括TEMPUS項目，並擔任奧地利世界大學服務組織（WUS）碩士學位課程的協調員。

Vesna Veličkovic 是塞爾維亞尼什大學科學與數學學院計算機科學系的教授。她於1996年在貝爾格萊德大學數學系獲得碩士學位，並於2012年在尼什大學科學與數學學院獲得博士學位。她出版了3本書籍、30篇國際科學期刊論文、12篇國內科學期刊論文，並在國際科學會議上發表了超過50場演講。她參與了3個國際科學項目和4個軟體項目，以及在塞爾維亞、德國、保加利亞、羅馬尼亞和土耳其的7次考察。她與Malkowsky教授共同開發了數學可視化軟體MV-Graphics。他們以大型圖形參加了三次數學藝術展覽。在十年內，她與數學和程式設計方面有才能的學生合作，她的學生在國際資訊奧林匹克競賽中獲得了多枚獎牌。她仍然非常活躍於程式設計比賽的組織和數學的推廣。她的研究領域包括軟體開發、計算機圖形學和數學可視化。