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The Madison Colloquium, 1913, Vol. 4: I. on Invariants and the Theory of Numbers; II. Topics in the Theory of Functions of Several Complex Variable (Classic Reprint) - Brossura

 
9781330240779: The Madison Colloquium, 1913, Vol. 4: I. on Invariants and the Theory of Numbers; II. Topics in the Theory of Functions of Several Complex Variable (Classic Reprint)

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Excerpt from The Madison Colloquium, 1913, Vol. 4: I. On Invariants and the Theory of Numbers; II. Topics in the Theory of Functions of Several Complex Variable

A simple theory of invariants for the modular forms and linear transformations employed in the theory of numbers should be of an importance commensurate with that of the theory of invariants in modern algebra and analytic projective geometry, and should have the advantage of introducing into the theory of numbers methods uniform with those of algebra and geometry.

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9780428340889: The Madison Colloquium, 1913, Vol. 4: I. On Invariants and the Theory of Numbers; II. Topics in the Theory of Functions of Several Complex Variable (Classic Reprint)

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ISBN 10:  0428340881 ISBN 13:  9780428340889
Casa editrice: Forgotten Books, 2019
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Leonard Eugene Dickson, William Fogg Osgood
Editore: Forgotten Books, 2018
ISBN 10: 1330240774 ISBN 13: 9781330240779
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Paperback. Condizione: New. Print on Demand. This book delves into the intricate world of mathematical invariants, exploring their applications in both algebra and number theory. The author meticulously examines the historical development of invariant theory, tracing its evolution from its roots in classical algebraic forms to its modern-day significance in modular arithmetic. Through a series of lectures, the book unveils the fundamental principles and techniques used to analyze and classify mathematical forms based on their invariant properties. It delves into the concept of modular forms, which are specialized polynomial expressions with integer coefficients, and explores their unique properties under various transformations. The author sheds light on the profound connections between algebraic and modular invariants, demonstrating how the study of one domain enriches the understanding of the other. With a focus on quadratic and cubic forms, the book delves into the intricacies of constructing and identifying fundamental systems of invariants. The author presents a novel approach to modular invariant theory, employing function-theoretic methods and offering fresh perspectives on classical problems. The exploration extends to the realm of modular geometry, where the interplay between geometric configurations and invariant theory is revealed. By illuminating the profound connections between algebra, number theory, and geometry, this book offers a captivating journey into the world of mathematical invariants, leaving readers with a deeper appreciation for the elegance and power of these fundamental concepts. 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. Codice articolo 9781330240779_0

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Leonard Eugene Dickson
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ISBN 10: 1330240774 ISBN 13: 9781330240779
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330240779

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Leonard Eugene Dickson
Editore: Forgotten Books, 2019
ISBN 10: 1330240774 ISBN 13: 9781330240779
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330240779

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