Calculus of Variations on Fibred Manifolds and Variational Physics: A Geometrical Approach to Variational Problems in Physics (纖維流形上的變分法與變分物理：物理變分問題的幾何方法)

本書介紹了現代變分微積分在力學和場論中的應用，並與理論物理相關聯。內容基於現代數學工具，特別是纖維空間及其噴射延伸，這些工具與基礎結構上的向量場和微分形式進行操作。書中系統地解釋了拉格朗日力學和哈密頓力學以及場論，並專注於探討其背後的結構。此外，書中還討論了著名的變分微積分逆問題，並提供了示例以說明關鍵的變分物理理論。

文本中包含了來自物理學的解題示例，並設計了練習題以幫助讀者掌握該主題。本書針對博士生、博士後研究人員及有興趣的研究者，假設讀者具備數學分析、線性和多線性代數的先前知識，以及一般和理論物理的基本元素，以便有效參與討論。

Jana Musilová is a full Professor of General Physics and Mathematical Physics at the Institute of Theoretical Physics and Astrophysics at the Faculty of Science, Masaryk University. She obtained her PhD (CSc) in Experimental Physics from Masaryk University in 1980. In 1991, she completed her habilitation in Solid State Physics and Acoustics, also at Masaryk University.Her research interests have included slow electron diffraction, modulation techniques for studying the optical properties of semiconductors, and ongoing research in the field of calculus of variations (nonholonomic mechanics), geometric analysis, and mathematical physics.She is also actively engaged in research in the field of physics education, teaching basic and advanced courses in physics and mathematics at Masaryk University.

Pavla Musilová is an Assistant Professor at the Institute of Theoretical Physics and Astrophysics at the Faculty of Science, Masaryk University. She obtained her Master's degrees in Physics, Teaching Physics and Mathematics, and in Mathematics - Algebra and Geometry from Masaryk University in 1999 and 2019, respectively. In 2002, she successfully completed her PhD studies in Theoretical Physics at Masaryk University.Her research is devoted to problems of natural operators on manifolds, pseudoriemannian geometries, and physics education. At the Faculty of Science of Masaryk University, her teaching is focused on courses in mathematical analysis, linear algebra and geometry, multilinear algebra, and differential and integral calculus of forms on manifolds.

Olga Rossi, formerly Krupková (+ 2019), was a full Professor of Mathematics and head of the Department of Mathematics at the Faculty of Sciences of the University of Ostrava. She completed her Master's degree and PhD studies in Theoretical Physics at Charles University in Prague. She worked at the Silesian University in Opava, Palacký University in Olomouc, and, in her later years, at the University of Ostrava. Additionally, she held positions at renowned universities worldwide, including Gent, La Trobe University Melbourne, and Stockholm.Professor Rossi served as the EWM regional coordinator for the Czech Republic and was a member of the EWM-WIM Committee of the European Mathematical Society.Her research focused on global analysis and geometry, geometric mechanics, and geometry and mathematical physics. She continues to be recognized by the global mathematical and physical community as an important expert in her fields of research.

Jana Musilová 是馬薩里克大學科學院理論物理與天體物理研究所的全職教授，專攻一般物理與數學物理。她於1980年在馬薩里克大學獲得實驗物理的博士學位（CSc）。1991年，她在馬薩里克大學完成了固態物理與聲學的晉升資格。她的研究興趣包括慢電子衍射、用於研究半導體光學性質的調變技術，以及變分法（非完整力學）、幾何分析和數學物理領域的持續研究。她也積極參與物理教育的研究，在馬薩里克大學教授基礎和進階的物理與數學課程。

Pavla Musilová 是馬薩里克大學科學院理論物理與天體物理研究所的助理教授。她於1999年和2019年分別在馬薩里克大學獲得物理、物理與數學教學以及數學－代數與幾何的碩士學位。2002年，她成功完成了在馬薩里克大學的理論物理博士學位。她的研究專注於流形上的自然算子問題、偽黎曼幾何以及物理教育。在馬薩里克大學科學院，她的教學重點是數學分析、線性代數與幾何、多線性代數，以及流形上的微分與積分形式計算課程。

Olga Rossi（前名 Krupková，+2019）曾是奧斯特拉瓦大學科學院數學系的全職數學教授及系主任。她在布拉格查理大學完成了理論物理的碩士學位和博士學位。她曾在奧帕瓦的西里西亞大學、奧洛穆茨的帕拉茨基大學工作，並在後期於奧斯特拉瓦大學任教。此外，她還在全球知名大學擔任職位，包括根特大學、墨爾本拉卓布大學和斯德哥爾摩大學。Rossi 教授曾擔任捷克共和國的 EWM 區域協調員，並是歐洲數學學會 EWM-WIM 委員會的成員。她的研究專注於全球分析與幾何、幾何力學以及幾何與數學物理。她仍然被全球數學和物理界認可為其研究領域的重要專家。