Shelves: , divulgacion-cientifica , historia , matematicas , no-ficcion Esta obra nos cuenta las distintas visiones y tratos que ha tenido por nuestra parte el concepto del infinito a lo largo de la historia. Muy buena, igual que el libro. The reason is simple: it is authoritative yet accessible. There are numerous graphs, drawings and equations; but the focus, as the subtitle expresses it, is on the cultural history of the infinite. The book is divided into four parts for four types of infinity: mathematical, geometric, aesthetic, and cosmological.
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Escher, six of whose works are shown here in beautiful color plates. Mathematical Infinity. First Steps to Infinity. Towards Legitimation. Convergence and Limit. The Fascination of Infinite Series. The Geometric Series.
More about Infinite Series. Interlude: An Excursion into the Number Concept. The Discovery of Irrational Numbers. Beyond Infinity. Geometric Infinity. Some Functions and Their Graphs. Inversion in a Circle. Geographic Maps and Infinity. Tiling the Plane. A New Look at Geometry.
The Vain Search for Absolute Truth. Aesthetic Infinity. Rejoice the Infinite!. The Moebius Strip. The Magic World of Mirrors. Horror Vacui, Amor Infiniti. Maurits C. Escher-Master of the Infinite. The Modern Kabbalists.
Cosmological Infinity. The Ancient World. The New Cosmology. The Horizons Are Receding. A Paradox and Its Aftermath. The Expanding Universe.
The Modern Atomists. Which Way from Here?. YPlaces the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics.
Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M.
To Infinity and Beyond: A Cultural History of the Infinite - New Edition
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To Infinity and Beyond : A Cultural History of the Infinite