Book:J. Dieudonné/Foundations of Modern Analysis

J. Dieudonné: Foundations of Modern Analysis

Published $\text {1960}$, Academic Press

Subject Matter

• Analysis

Contents

Preface

Notation

Chapter $\text I$ ELEMENTS OF THE THEORY OF SETS

Chapter $\text {II}$ REAL NUMBERS

Chapter $\text {III}$ METRIC SPACES

Chapter $\text {IV}$ ADDITIONAL PROPERTIES OF THE REAL LINE

Chapter $\text V$ NORMED SPACES

Chapter $\text {VI}$ HILBERT SPACES

Chapter $\text {VII}$ SPACES OF CONTINUOUS FUNCTIONS

Chapter $\text {VIII}$ DIFFERENTIAL CALCULUS

Chapter $\text {IX}$ ANALYTIC FUNCTIONS

Appendix to Chapter $\text {IX}$. APPLICATION OF ANALYTIC FUNCTIONS TO PLANE TOPOLOGY

Chapter $\text X$ EXISTENCE THEOREMS

Chapter $\text {XI}$ ELEMENTARY SPECTRAL THEORY

References

Index