Henri Poincare: Trois plements sur la decouverte des fonctions fuchsiennes /Three plementary Essays on the Discovery of Fuchsian Functions: Une ... manuscripts with an introductory essay

Poincare - Three Supplementary Essays

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Henri Poincare: Trois plements sur la decouverte des fonctions fuchsiennes /Three plementary Essays on the Discovery of Fuchsian Functions: Une ... manuscripts with an introductory essay

Poincare - Three Supplementary Essays

Written by Jeremy J. Gray
4.85 29,236 ratings
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The first of Henri Poincaré's several path-breaking contributions to mathematics was the theory of Fuchsian functions discovered in 1880. Poincaré pioneered the study of differential equations on Riemann surfaces by means of geometry and group theory, thereby establishing new fields of mathematical research which are still highly active. The three supplementary essays transcribed here originally accompanied a long essay submitted for the Grand Prix des Sciences Mathimatiques offered by the Paris Academy. They document Poincaré's discovery of Fuchsian functions, showing in detail how he made and exploited a series of insights relating non-Euclidean geometry to complex function theory. An introductory essay considers both the original and supplementary essays in context, and discusses, among other topics, their relation to Lazarus Fuchs' earlier work on the integration of linear differential equations with rational coefficients, the correspondence with Fuchs and Felix Klein, and the traces of German and French mathematical traditions in Poincaré's first major discovery.

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Published October, 1999
ISBN 2671280
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About the Author
Jeremy J. Gray

Jeremy J. Gray writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. Jeremy J. Gray lives with their spouse and a very vocal rescue cat.

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Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre.
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Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars.
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Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
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Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading.
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I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece.
Gary Anderson
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Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre.
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Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre.
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Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me.
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Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars.
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Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem.
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Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
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Sandra Moore
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I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel.
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A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece.
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Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
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