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Excerpt from Vorlesungen Über die Theorie der Elliptischen Modulfunctionen, Vol. 1: Grundlegung der TheorieSo wandte sich Hr. Klein im Herbst 1887 an den Unterzeichneten mit der Aufforderung, das Geplante zur Wirklichkeit zu gestalten. Ich hatte mich bereits im Sommer 1887 wiederholt mit der Absicht getragen, bei Hrn. Klein einen hierauf bezüglichen Vorschlag zu machen, und kam jetzt der geschehenen Aufforderung um so unbedenklicher nach, als ich ja der kräftigsten Unterstützung meines hochverehrten Lehrers sicher sein durfte. Wenn ich übrigens auch bei der nun folgenden Entwicklungsphase des vorliegenden Werkes mit Ausführ lichkeit verweile, so fühle ich mich dazu um so mehr berechtigt, als es für mich eine nahezu dreijährige ununterbrochene Arbeit gekostet hat, um aus den mir zur Verfügung stehenden Hülfsmitteln diesen ersten Band zu gestalten.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The possibility that we live in a higher-dimensional world with spatial dimensions greater than three started with the early work of Kaluza and Klein. However, in addressing experimental constraints, early model-builders were forced to compactify these extra dimensions to very tiny scales. With the development of brane-world scenarios it became possible to consider novel compactifications which allow the extra dimensions to be large or to provide observable effects of these dimensions at experimentally accessible energy scales. This book provides a comprehensive account of these recent developments, keeping the high-energy physics implications in focus. After an historical survey of the idea of extra dimensions, the book deals in detail with models of large extra dimensions, warped extra dimensions and other models such as universal extra dimensions. The theoretical and phenomenological implications are discussed in a pedagogical manner for both researchers and graduate students.

The possibility that we live in a higher-dimensional world with spatial dimensions greater than three started with the early work of Kaluza and Klein. However, in addressing experimental constraints, early model-builders were forced to compactify these extra dimensions to very tiny scales. With the development of brane-world scenarios it became possible to consider novel compactifications which allow the extra dimensions to be large or to provide observable effects of these dimensions at experimentally accessible energy scales. This book provides a comprehensive account of these recent developments, keeping the high-energy physics implications in focus. After an historical survey of the idea of extra dimensions, the book deals in detail with models of large extra dimensions, warped extra dimensions and other models such as universal extra dimensions. The theoretical and phenomenological implications are discussed in a pedagogical manner for both researchers and graduate students.