Bøger af Igor R. Shafarevich

Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science.

Basic Algebraic Geometry II is a revised edition of Shafarevich's well-known introductory book on algebraic varieties and complex manifolds. It can be read independently of Volume I and is suitable for graduate students in mathematics and theoretical physics.

Here is the first of a two-volume work offering an introduction to algebraic geometry. It makes the topic accessible to non-specialists and beginners and is suitable for undergraduates in mathematics as well as students of theoretical physics.

The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces.

This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space.