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In this text the author looks at the work of Riemann, who in the 19th century contributed to the study of curved surfaces, or non-Euclidian geometry. Riemann's results later found application in physics, when Einstein introduced his theory of relativity.
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Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets.... Læs mere
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Answering popular demand, the authors now present the current book, in which they provide a detailed, self-contained explanation of the theory of... Læs mere
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Essential mathematical insights into one of the most important and challenging open problems in general... Læs mere
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Essential mathematical insights into one of the most important and challenging open problems in general... Læs mere
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This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on... Læs mere
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This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with... Læs mere
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This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with... Læs mere
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The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book... Læs mere
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The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book... Læs mere