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  2. Differential geometry - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry

    Differential geometry is also indispensable in the study of gravitational lensing and black holes. Differential forms are used in the study of electromagnetism. Differential geometry has applications to both Lagrangian mechanics and Hamiltonian mechanics. Symplectic manifolds in particular can be used to study Hamiltonian systems.

  3. Isothermal coordinates - Wikipedia

    en.wikipedia.org/wiki/Isothermal_coordinates

    In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermal coordinates, the Riemannian metric locally has the form

  4. One-form (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/One-form_(differential...

    In the language of differential geometry, this derivative is a one-form on the punctured plane. It is closed (its exterior derivative is zero) but not exact , meaning that it is not the derivative of a 0-form (that is, a function): the angle θ {\\displaystyle \\theta } is not a globally defined smooth function on the entire punctured plane.

  5. Graduate Studies in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Studies_in...

    98 Discrete Differential Geometry: Integrable Structure, Alexander I. Bobenko, Yuri B. Suris (2008, ISBN 978-0-8218-4700-8) 99 Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators, Gerald Teschl (2009, ISBN 978-0-8218-4660-5) [12] 100 Algebra: A Graduate Course, I. Martin Isaacs (1994, ISBN 978-0-8218-4799-2)

  6. List of differential geometry topics - Wikipedia

    en.wikipedia.org/wiki/List_of_differential...

    1.1 Differential geometry of curves. 1.2 Differential geometry of surfaces. 2 Foundations. ... Download as PDF; Printable version; In other projects Wikidata item;

  7. Mathematics Subject Classification - Wikipedia

    en.wikipedia.org/wiki/Mathematics_Subject...

    For example, for differential geometry, the top-level code is 53, and the second-level codes are: A for classical differential geometry; B for local differential geometry; C for global differential geometry; D for symplectic geometry and contact geometry; In addition, the special second-level code "-" is used for specific kinds of materials.

  8. Differential geometry of surfaces - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry_of...

    The differential geometry of surfaces is concerned with a mathematical understanding of such phenomena. The study of this field, which was initiated in its modern form in the 1700s, has led to the development of higher-dimensional and abstract geometry, such as Riemannian geometry and general relativity. [original research?]

  9. Floquet theory - Wikipedia

    en.wikipedia.org/wiki/Floquet_theory

    Ordinary Differential Equations with Applications. Springer-Verlag, New York 1999. M.S.P. Eastham, "The Spectral Theory of Periodic Differential Equations", Texts in Mathematics, Scottish Academic Press, Edinburgh, 1973. ISBN 978-0-7011-1936-2. Ekeland, Ivar (1990). "One". Convexity methods in Hamiltonian mechanics. Ergebnisse der Mathematik ...