BOTTACIN - Exercises in Linear Algebra and Geometry

• Contents

This book contains a collection of exercises designed to support and complement the theoretical exposition of the standard topics for a first course in linear algebra and geometry, at university level. In this sense, this exercise book is a natural completion of the text F. Bottacin, Linear Algebra and Geometry, Esculapio, Bologna which will be referred to for the necessary theoretical notions. In presenting the solutions to the proposed exercises, my main goal is to try to teach how to approach and solve a problem. For this reason, in many cases, theoretical considerations have been included and different solution methods have been proposed for the same type of exercise. The reader will thus be able to evaluate, case by case, the advantages and disadvantages of each method.

FRANCESCO BOTTACIN is Full Professor of Geometry at the University of Padua since 2008. He has carried out research activities at the University of Paris XI, the University of Artois, the Louis Pasteur University of Strasbourg, the University of California at Davis and the Research Institute for Mathematical Sciences in Kyoto. His research interests focus on algebraic geometry, in particular on the study of vector bundles and their moduli spaces.