This is a text in basic mathematics with multiple uses for either high school or college level courses. The subject matter is clearly covered and the author develops concepts so the reader can see how one subject matter can relate and grow into another.
The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level.
The present book aims to give a fairly comprehensive account of the fundamentals of differential manifolds and differential geometry. At the most basic level, the... Læs mere
It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues,... Læs mere
The purpose of a first course in calculus is to teach the student the basic notions of derivative and integral, and the basic techniques and applica tions which accompany them.
A text in linear algebra which is intended for a one-term course. It examines the relation between the geometry and the algebra underlying the subject. It features... Læs mere
A basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. It addresses the basic concepts of algebra.
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory;
Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field.
From the reviews: "A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course.