Non-Euclidean geometry
Delve into the fascinating realm of non-Euclidean geometry, a branch of mathematics that explores curved spaces and challenges traditional notions of distance and parallel lines. Ideal for advanced students and enthusiasts, this category features a selection of texts that delve into the theoretical underpinnings and practical applications of these revolutionary concepts, revealing a deeper understanding of the universe's structure.
Fractals: Form, Chance and Dimension
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ytivitaleR hsifratS: Negative numbers do not exist - Starfish relativity
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Euclidean, Non-Euclidean, and Transformational Geometry: A Deductive Inquiry
Shlomo Libeskind, Isa S. Jubran
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Nonlinear Hyperbolic Equations - Theory, Computation Methods, and Applications: Proceedings of the Second International Conference on Nonlinear Hyperbolic Problems, Aachen, FRG, March 14 to 18, 1988
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Compact Projective Planes: With an Introduction to Octonion Geometry
Hermann Hähl, Rainer Löwen, Theo Grundhöfer, Dieter Betten, Helmut Salzmann, Markus Stroppel
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Complex Dynamics and Renormalization
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Lectures on Vector Bundles over Riemann Surfaces
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The Real Fatou Conjecture
Grzegorz Swiatek, Jacek Graczyk
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Automorphisms of Surfaces After Nielsen and Thurston
Andrew J. Casson, Steven A. Bleiler
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Commensurabilities among Lattices in PU (1,n)
Pierre R. Deligne, George Daniel Mostow
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Loops in Group Theory and Lie Theory
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Integration of One-forms on P-adic Analytic Spaces
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An Essay on the Foundations of Geometry
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Projective Geometry - Volume II
Oswald Veblen, John Wesley Young
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Living with Geometry: Coming to an Understanding with God, Life and the Universe...
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BARYCENTRIC CALC IN EUCLI & HYPERBOLIC..
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Space and Geometry: In the Light of Physiological, Psychological, and Physical Inquiry
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Geometric Group Theory Down Under: Proceedings of a Special Year in Geometric Group Theory, Canberra, Australia, 1996
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Conformal Geometry of Discrete Groups and Manifolds
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Recent Trends in Lorentzian Geometry
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Guts of Surfaces and the Colored Jones Polynomial
Jessica Purcell, David Futer, Efstratia Kalfagianni
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The Global Nonlinear Stability of the Minkowski Space
Demetrios Christodoulou, Sergiu Klainerman
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D-Modules and Spherical Representations
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Birational Geometry of Foliations
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Category „Non-Euclidean geometry“
Exploring the complexities of space and dimensions, non-Euclidean geometry captivates those who seek to understand the unconventional principles that break from traditional geometric frameworks. This fascinating field is particularly appealing to mathematicians, physicists, and anyone intrigued by the abstract nature of reality, where the familiar rules of Euclidean geometry no longer apply.
Historically, the development of non-Euclidean geometry revolutionized mathematical thought in the 19th century, challenging long-held beliefs about parallel lines and the nature of space itself. Pioneers like Nikolai Lobachevsky and János Bolyai ventured beyond the classical constructs, paving the way for innovations in various scientific disciplines, including cosmology and relativity.
Diving into this category opens doors to a vast universe of ideas, encouraging readers to rethink conventional wisdom and explore alternative perspectives. This branch of mathematics not only enriches academic discourse but also inspires creative thinking and problem-solving skills applicable across numerous fields, from theoretical physics to computer graphics.
Books in this category often include texts by influential authors and mathematicians who have significantly contributed to the understanding of non-Euclidean geometry. These works are valuable resources for students, educators, and lifelong learners eager to expand their knowledge and appreciation of mathematical concepts that challenge the ordinary.