Excerpt from Cours d'Analyse de l'École Royale Polytechnique, Vol. 1: Analyse Algébrique
Dans le passage des sériés convergentes aux séries divergentes et des quantités réelles aux expressions imaginaires, ne peu vent être considérées, ce'me semble, que comme des inductions propres à faire pres sentir quelquefois la vérité mais qui s'ac cordent peu avec l'exactitude si vantée des sciences mathématiques. On doit même observer qu'elles tendent à faire attribuer aux formules algébriques une étendue in définie tandis que, dans la réalité, la plu part de ces formules subsistent uniquement sous certaines conditions et pour certaines valeurs des quantités qu'elles renferment. En déterminantq,ces conditions et ces va leurs, et en fixant d'une maniere précise le sens des notationsdont je me sers, je fais disparaître toute incertitude; et alors Ies différentes formuleâ ne présentent plus que des reiations entre 195 quantités réelles re.
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Paperback. Condition: New. Print on Demand. This book presents an introduction to mathematical analysis, a branch of mathematics that studies continuous change. The author provides a detailed examination of real and imaginary functions, series, and equations. The book also explores the decomposition of rational fractions. The author's approach is rigorous, aiming to avoid arguments based solely on the generality of algebra. Rather, the text emphasizes the importance of precise notation and definitions. By doing so, this book provides a solid foundation for further studies in analysis and related fields. 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 # 9780259220404_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780259220404
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