Books in category Mathematics – Geometry

The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.

Originally published in Japanese in 1990, it presents a selfcontained introduction to the fundamentals of algebraic geometry. This book begins with background on commutative algebras, sheaf theory, and related cohomology theory.

In this groundbreaking work, author Dmitri Tymoczko describes a new framework for thinking about music that emphasizes the commonalities among styles from medieval polyphony to contemporary rock.

It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum. This book attempts to fill two gaps which exist in the standard textbooks on the History of Mathematics.

This 2007 book is a selfcontained account of the subject of algebraic cycles and motives.

Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field.

Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background.

Introduction to Hyperbolic Geometry
This text for advanced undergraduates emphasizes the logical connections of the subject.

The Poincare HalfPlaneprovides an elementary and constructive development of this geometry that brings the undergraduate major closer to current geometric research.

Infinite Matrices and the Gliding Hump
Contents:IntroductionThe AntosikMikusinski Matrix TheoremkConvergence and kBoundednessThe Uniform Boundedness PrincipleThe BanachSteinhaus TheoremContinuity and Hypocontinuity for Bilinear MapsPap's Adjoint TheoremVector Versions of the …