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Excerpt from Infinite Determinants in the Theory of Mathieu's and Hill's Equations
Finally, in Section II we prove the well-known theorem about the mutually exclusive nature of the four conditions using the infinite determinants This theorem is the negative aspect (in the case of Mathieu's equation) of the problem of finding equations of Hill's type (8) which have two linearly independent solutions of the same period.
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Infinite Determinants in the Theory of Mathieu's and Hill's Equations
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Paperback. Zustand: New. Print on Demand. This book maps out the evolution and recent scientific and engineering applications of an 1868 theory by French mathematician Ãmil Mathieu. Mathieu's research on differential equations has far-reaching implications for physics, chemistry, and technology, as it deals with wave propagation in complex media, a concept vital to understanding quantum mechanics and the development of things like transparent materials. The author traces the development of this theory from its inception, including its influence on the work of his contemporaries and successors, offering a comprehensive view of its impact on modern science. Along the way, the book connects the history of science to the real-world engineering challenges solved by Mathieu's differential equations, offering an insightful look into a fascinating area of applied mathematics. By presenting a link between the mathematical research of the 19th century and contemporary cutting-edge technology, the book highlights the longevity of mathematics as a key tool for unraveling the complexities of the physical universe. 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. Bestandsnummer des Verkäufers 9781332795109_0
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Infinite Determinants in the Theory of Mathieu's and Hill's Equations Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332795109
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Infinite Determinants in the Theory of Mathieu's and Hill's Equations Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332795109
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