Memmo - AI-verktyg och digital kurslitteratur

Geometry: A Comprehensive Course

por Dan Pedoe

Fecha de publicación: 2013

Páginas: 464

ISBN: 9780486658124

Editorial: Dover Publications

Categoría: Matematik

Sobre este libro - Geometry: A Comprehensive Course

"A lucid and masterly survey." — Mathematics Gazette

Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.

Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.

In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical understanding.

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Antes de Memmo, mis apuntes estaban dispersos en PDFs. Ahora, un espacio de trabajo lo reúne todo y veo exactamente lo que me queda por estudiar.

Los resúmenes de Memmo son oro antes de los exámenes. No tengo que releer 800 páginas dos semanas antes, solo las partes importantes.

El chat de IA me ha salvado la noche antes de un examen más de una vez. Sigo preguntando hasta que lo entiendo, sin esperar a que un grupo de estudio responda.