Differential and Riemannian geometry
Differential and Riemannian geometry represents a sophisticated and profound area of mathematics, focused on the properties of curves and surfaces in different dimensions. Essential for advanced studies in physics, engineering, and mathematics, this category encompasses detailed texts that cover theories, applications, and intricate problem-solving techniques, appealing to students, researchers, and professionals alike.
Lost in Math: How Beauty Leads Physics Astray
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General Relativity: The Theoretical Minimum
Leonard Susskind, André Cabannes
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Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
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General Relativity: With Applications to Astrophysics
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Teleparallel Gravity: An Introduction
Ruben Aldrovandi, Jose G Pereira
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Lectures on Differential Geometry I: Differentiable Manifolds
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The Geometry of some special Arithmetic Quotients
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Geometric Methods in Degree Theory for Equivariant Maps
Zalman I. Balanov, Alexander M. Kushkuley
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Almost-Bieberbach Groups: Affine and Polynomial Structures
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Lie Groups and Lie Algebras I: Foundations of Lie Theory Lie Transformation Groups
A. L. Onishchik, E. B. Vinberg, V. V. Gorbatsevich
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Lectures on Spaces of Nonpositive Curvature
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Geometric Inequalities
Viktor A. Zalgaller, Yurii D. Burago
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Theoretical Foundations of Computer Vision
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Geometry I: Basic Ideas and Concepts of Differential Geometry
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Teichmüller Theory in Riemannian Geometry
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Lectures on Hyperbolic Geometry
Carlo Petronio, Riccardo Benedetti
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Lie Groups and Lie Algebras I: Foundations of Lie Theory Lie Transformation Groups
A. L. Onishchik, E. B. Vinberg, V. V. Gorbatsevich
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Natural Operations in Differential Geometry
Ivan Kolar, Jan Slovak, Peter W. Michor
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Manifolds all of whose Geodesics are Closed
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Geometry and Topology: Proceedings of the School Held at the Instituto de Matematica Pura e Aplicada CNPq, Rio de Janeiro, July 1976
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Category „Differential and Riemannian geometry“
Differential and Riemannian geometry is a captivating branch of mathematics that delves into the intricate properties of curves and surfaces, providing essential insights into the very fabric of our universe. This category is ideal for mathematicians, physicists, and anyone fascinated by the mathematical principles that govern the shape and structure of the world around us.
The study of these geometrical concepts dates back to the 19th century, with significant contributions from renowned mathematicians such as Bernhard Riemann, whose work laid the groundwork for modern geometric analysis. Understanding differential and Riemannian geometry allows readers to explore advanced topics such as geodesics, curvature, and the interplay between geometry and topology, which can enrich their appreciation of both pure and applied mathematics.
Readers who engage with this category will benefit from an extensive array of resources that offer not only theoretical frameworks but also practical applications, bridging the gap between abstract mathematics and real-world scenarios. Whether one is interested in the theoretical underpinnings of general relativity or the intricate details of modern geometric theories, this category provides a comprehensive collection of texts to guide further exploration and discovery.
In addition to the foundational texts, this category features works from esteemed authors and publishers dedicated to advancing mathematical knowledge. These contributors are instrumental in shaping the dialogue around differential and Riemannian geometry, making this a dynamic area of study that continues to evolve and inspire. For those seeking to deepen their understanding, the titles within this collection are an invaluable asset, offering a journey through one of mathematics' most profound realms.