The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method using homological algebra. The basic concepts of homotopy theory, such as fibrations and cofibrations, are used to construct singular homology and cohomology, as well as K-theory. Throughout the text many other fundamental concepts are introduced, including the construction of the characteristic classes of vector bundles. Although functors appear constantly throughout the text, no knowledge about category theory is expected from the reader. This book is intended for advanced undergraduates and graduate students with a basic knowledge of point set topology as well as group theory and can be used in a two semester course. Marcelo Aguilar and Carlos Prieto are Professors at the Instituto de Matemticas, Universidad Nacional Autonoma de Mexico, and Samuel Gitler is a member of El Colegio Nacional and professor at the Centro de Investigacion y Estudios Avanzados del IPN.

The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.

In 1720, Antonio Stradivari crafted an exquisite work of art-a cello known as the Piatti. Over the next three centuries of its life, the Piatti cello left its birthplace of Cremona, Italy, and resided in Spain, Ireland, England, Italy, Germany, and the United States. In 1978, the Piatti became the musical soul mate of world-renowned cellist Carlos Prieto, with whom it has given concerts around the world. In this delightful book, Mr. Prieto recounts the adventurous life of his beloved "Cello Prieto," tracing its history through each of its previous owners from Stradivari in 1720 to himself. He then describes his noteworthy experiences of playing the Piatti cello, with which he has premiered some eighty compositions. In this part of their mutual story, Prieto gives a concise summary of his own remarkable career and his relationships with many illustrious personalities, including Igor Stravinsky, Dmitry Shostakovich, Pablo Casals, Mstislav Rostropovich, Yo-Yo Ma, and Gabriel Garcia Marquez. A new epilogue, in which he describes recent concert tours in Moscow, Siberia, and China and briefer visits to South Korea, Taiwan, and Venezuela, as well as recent recitals with Yo-Yo Ma, brings the story up to 2009. To make the story of his cello complete, Mr. Prieto also provides a brief history of violin making and a succinct review of cello music from Stradivari to the present. He highlights the work of composers from Latin America, Spain, and Portugal, for whose music he has long been an advocate and principal performer. The print edition of this book includes a CD of fourteen recordings by Carlos Prieto, including works by J. S. Bach, Dmitry Shostakovich, Astor Piazzolla, and Eugenio Toussaint.

Hobbes es un fotografo en la treintena y en decadencia profesional y sentimental. Tambien es aficionado a la musica, las antiguedades y, desde que lo dejo con Laura, al ron, las fiestas y las mujeres. La foto de unos dados en su perfil de Twitter (http: //www.twitter.com/luker2013) y Facebook (http: //www.facebook.com/danihobbes), y el interes que estos despiertan en un desconocido llamado "Luke R.," le llevaran al que fue el origen de su decadencia y al descubrimiento de algo inesperado.