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• Bradley, R.E. - Cauchy’s Cours d’analyse: an annotated translation.

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In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index. The first English translation of this influential text The authors provide valuable commentary and references

   INDICE: Translators’ Introduction.- Cauchy's Introduction.- Preliminaries.- First Part: Algebraic Analysis.- On Real Functions.- On Quantities that are Infinitely Small or Infinitely Large, and on the Continuity of Functions.- On Symmetric Functions and Alternating Functions.- Determination of Integer Functions.- Determination of continuous functions of a single variable that satisfy certain conditions.- On convergent and divergent (real) series.- On imaginary expressions and their moduli.- On imaginary functions and variables.- On convergent and divergent imaginary series.- On real or imaginary roots of algebraic equations for which the first member is a rational and integer of one variable.- Decomposition of rational fractions.- On recursive series.- Notes on Algebraic Analysis.- Bibliography.- Index.

Interés para ...

History of Mathematics; Analysis Mathematicians, historians of mathematics

Detalles del artículo

• Páginas : 430
• Editorial : Springer
• Idioma : Inglés
• Fecha de Publicación : 01/09/2009
• ISBN: 9781441905482
• Serie: Sources and studies in the history of mathematics and physical sciences
• Encuadernación : Cartoné
• Nº Volúmenes : 1
• País de Publicación : Estados Unidos
• Lugar de Publicación : New York