Excerpt from Methoden zur Theorie der Ternaeren Formen: Im Zusammenhang mit Untersuchungen Anderer Dargestellt
Die Invariantentheorie der linearen Transformationen hat sich seit den Entdeckungen des Herrn Gordan in der Richtung entwickelt, dass die Frage nach einem endlichen Formensystem gegebener Grund formen immer mehr in den Mittelpunkt des Interesses getreten ist. Die Vereinigung vieler Kräfte auf diesen einen Punkt hat ihre guten Früchte getragen; insbesondere haben in jüngster Zeit die Unter suchungen des Herrn Hilbert neue Wege eröffnet und die endgiltige Antwort auf eine ganze Reihe bisher ofl'ener Fragen gebracht. In dessen bietet die Theorie der Invarianten auch eine Fülle von Problemen dar, welche mit jener fundamentalen Fragestellung nur in einem loseren Zusammenhange stehen, und sehr wohl unabhängig von ihr behandelt werden können. Mit einigen Aufgaben dieser Art beschäftigt sich die vorliegende Arbeit.
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Paperback. Condition: New. Print on Demand. This book offers a meticulous exploration of invariant theory, a branch of mathematics that studies properties of geometric objectsâ"such as curves and surfacesâ"that remain unchanged under specific transformations. By focusing on whole invariants, the author provides a comprehensive and rigorous foundation for the subject, leading readers through fundamental concepts, methods, and applications. The significance of invariant theory lies in its ability to reveal deep connections between algebra and geometry, and this book masterfully captures that interplay. Through elegant proofs and detailed examples, the author demonstrates how invariant theory empowers us to analyze and classify geometric objects, uncovering their hidden symmetries and properties. This book is an invaluable resource for mathematicians, physicists, and anyone seeking to understand the profound relationship between algebra and geometry. Its clear exposition and in-depth treatment make it an essential guide for anyone interested in delving into the intricacies of invariant theory. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334434402_0
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