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  2. 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)

  3. 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.

  4. List of differential geometry topics - Wikipedia

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

    See also multivariable calculus, list of multivariable calculus topics. Manifold. Differentiable manifold; Smooth manifold; Banach manifold; Fréchet manifold; Tensor analysis. Tangent vector

  5. Foundations of Differential Geometry - Wikipedia

    en.wikipedia.org/wiki/Foundations_of...

    Foundations of Differential Geometry is an influential 2-volume mathematics book on differential geometry written by Shoshichi Kobayashi and Katsumi Nomizu. The first volume was published in 1963 and the second in 1969, by Interscience Publishers. Both were published again in 1996 as Wiley Classics Library.

  6. Differentiable curve - Wikipedia

    en.wikipedia.org/wiki/Differentiable_curve

    The differential-geometric properties of a parametric curve (such as its length, its Frenet frame, and its generalized curvature) are invariant under reparametrization and therefore properties of the equivalence class itself. The equivalence classes are called C r-curves and are central objects studied in the differential geometry of curves.

  7. Graduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Texts_in_Mathematics

    Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with variable numbers of pages).

  8. Differential geometry of surfaces - Wikipedia

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

    The differential geometry of surfaces revolves around the study of geodesics. It is still an open question whether every Riemannian metric on a 2-dimensional local chart arises from an embedding in 3-dimensional Euclidean space: the theory of geodesics has been used to show this is true in the important case when the components of the metric ...

  9. Georg Scheffers - Wikipedia

    en.wikipedia.org/wiki/Georg_Scheffers

    For a new edition, Scheffers added an appendix with 46 pages of historical notes for the first and second volumes. [7] Another very successful book was prepared for students of science and technology: Lehrbuch der Mathematik (textbook of mathematics). [8] It provided an introduction to analytic geometry as well as calculus of derivatives and ...