Number theory

Introduction to the Theory of Entire Functions

Algebraic Number Fields

Homology Theory

Topological Embeddings

Symmetry Groups and Their Applications

Banach Algebra Techniques in Operator Theory

Measure and Integration Theory on Infinite-Dimensional Spaces

Connections, Curvature, and Cohomology V1

Introduction to Compact Transformation Groups

Integral Matrices

Ring Theory

Multiplicative Theory of Ideals

An Introduction to Transform Theory

Quantum Mechanics in Hilbert Space

Fourier Analysis and Approximation

The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G.

Dimension Theory

Infinite Abelian Groups

Linear Lie Groups

Cohomology of Groups

Critical Point Theory in Global Analysis and Differential Topology

Distributions and Fourier Transforms

Simplified Independence Proofs

Diophantine Equations

Markov Processes and Potential Theory

Complex Function Theory

The Four-Color Problem

Topological Vector Spaces, Distributions and Kernels

Resolution of Singularities of Embedded Algebraic Surfaces

Introduction to the Theory of Algebraic Numbers and Fuctions

An Introduction to Nonassociative Algebras

Linear Differential Equations and Function Spaces

This book is written for the student in mathematics.

Topology

A Theory of Sets

Theory of Categories

Point Set Topology

Geometry of Manifolds

Local Analytic Geometry

Differential Geometry and Symmetric Spaces

Curvature and Homology

Homotopy Theory

Fundamental Concepts of Algebra

The Geometry of Geodesics

Entire Functions

Kernel Functions and Differential Equations

Projective Geometry and Projective Metrics

Linear Algebra and Projective Geometry

The topic with which I regularly conclude my six-term series of lectures in Munich is the partial differential equations of physics.

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics.