The Manifold of Differential Forms

Pasquale De Marco

Sinopsis

Differential forms are a powerful tool for studying a wide range of topics in mathematics and physics. They provide a unified framework for understanding many different concepts, such as vector fields, tangent spaces, cotangent spaces, and pullbacks. Differential forms are also used extensively in applications to physics, such as classical mechanics, electromagnetism, fluid dynamics, general relativity, and quantum field theory.

This book provides a comprehensive introduction to differential forms. It begins with a review of the basic concepts of differential calculus, such as derivatives and integrals. The book then introduces differential forms and develops their basic properties. The book also discusses a number of applications of differential forms to physics, including classical mechanics, electromagnetism, and fluid dynamics.

The book is written in a clear and concise style, and it is suitable for both undergraduate and graduate students. It is also a valuable resource for mathematicians and physicists who want to learn more about differential forms.

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Disponible desde: 02/06/2025.

Longitud de impresión: 165 páginas.

Ciencia y tecnología

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