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Calculus of Variations on Fibred Manifolds and Variational Physics
- A Geometrical Approach to Variational Problems in Physics
Engelsk
Bogcover for Calculus of Variations on Fibred Manifolds and Variational Physics af Jana Musilova, Olga Rossi, Pavla Musilova, 9783031774072
Specifikationer
Sprog:
Engelsk
Sider:
331
ISBN-13:
9783031774072
Indbinding:
Paperback
ISBN-10:
3031774078
Kategori:
Udg. Dato:
27 feb 2025
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
27 feb 2025

Calculus of Variations on Fibred Manifolds and Variational Physics

- A Geometrical Approach to Variational Problems in Physics
Engelsk
Paperback 2025
Format:

Bog beskrivelse

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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Specifikationer
Sprog:
Engelsk
Sider:
331
ISBN-13:
9783031774072
Indbinding:
Paperback
ISBN-10:
3031774078
Kategori:
Udg. Dato:
27 feb 2025
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
27 feb 2025
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