Calculus of Variations on Fibred Manifolds and Variational Physics: A Geometrical Approach to Variational Problems in Physics | Agenda Bookshop Skip to content
Selected Colleen Hoover Books at €9.99c | In-store & Online
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A01=Jana Musilová
A01=Olga Rossi
A01=Pavla Musilová
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Age Group_Uncategorized
Author_Jana Musilová
Author_Olga Rossi
Author_Pavla Musilová
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COP=Switzerland
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Calculus of Variations on Fibred Manifolds and Variational Physics: A Geometrical Approach to Variational Problems in Physics

This book presents modern variational calculus in mechanics and field theories with applications to theoretical physics. It is based on modern mathematical tools, specifically fibred spaces and their jet prolongations, which operate with vector fields and differential forms on foundational structures. The book systematically explains Lagrangian and Hamiltonian mechanics and field theory, with a focused exploration of the underlying structures. Additionally, it addresses the well-known inverse problem of  calculus of variations and provides examples illustrating key variational physical theories.

The text is complemented by solved examples from physics and includes exercises designed to help readers master the subject. Aimed at PhD students, postdocs, and interested researchers, this book assumes prior knowledge of mathematical analysis, linear and multilinear algebra, as well as elements of general and theoretical physics for effective engagement with the discussion.

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Original price €77.99
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A01=Jana MusilováA01=Olga RossiA01=Pavla MusilováAge Group_UncategorizedAuthor_Jana MusilováAuthor_Olga RossiAuthor_Pavla Musilováautomatic-updateCategory1=Non-FictionCategory=PBUCategory=PHPCategory=PHUCOP=SwitzerlandDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€50 to €100PS=Forthcomingsoftlaunch

Will deliver when available. Publication date 14 Jan 2025

Product Details
  • Dimensions: 155 x 235mm
  • Publication Date: 14 Jan 2025
  • Publisher: Springer International Publishing AG
  • Publication City/Country: Switzerland
  • Language: English
  • ISBN13: 9783031774072

About Jana MusilováOlga RossiPavla Musilová

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.

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