… College and mathematics department in Munich, and a member of the Graduate College
in Münster. All of these connections played a significant role in bringing this project to a …

This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics
160) offered at the California Institute of Technology du ring the last 25 years. The second …

In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was
to understand completely Grothendieck’s local study of the Hilbert scheme using the …

… We are writing a textbook whereby a student of mathematics or a mathematician with another
… Since the sum is the most frequently used set-operation in this text, we include a list of …

This book is a basic algebra text for first-year graduate students, with some additions for
those who survive into a second year. It assumes that readers know some linear algebra, and …

… Modern mathematics has broadened our perspectives by … On the other hand, the applier
of mathematics has continued to … Second, mathematics and science students alike can profit …

This book was written to make learning introductory algebraic geometry as easy as possible.
It is designed for the general first-and second-year graduate student, as well as for the …

The study of Diophantine equations, that is, the solution of polynomial equations in integers
or rational numbers, has a history stretching back to ancient Greece and beyond. The term …

… [Hilbert's] style has not the terseness of many of our modern authors in mathematics,
which is based on the assumption that printer's labor and paper are costly but the reader's …

… These volumes are mainly addressed to graduate students who wish to study Fourier
analysis. This first volume is intended to serve as a text for a one-semester course in the subject. …