Book contents
- Frontmatter
- Contents
- List of Contributors
- Series Editor's Statement
- Foreword
- Preface
- Chapter 1 Examples and Basic Concepts
- Chapter 2 Axiom Systems
- Chapter 3 Lattices
- Chapter 4 Basis-Exchange Properties
- Chapter 5 Orthogonality
- Chapter 6 Graphs and Series-Parallel Networks
- Chapter 7 Constructions
- Chapter 8 Strong Maps
- Chapter 9 Weak Maps
- Chapter 10 Semimodular Functions
- Appendix of Matroid Cryptomorphisms
- Index
- ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS
Series Editor's Statement
Published online by Cambridge University Press: 05 May 2010
- Frontmatter
- Contents
- List of Contributors
- Series Editor's Statement
- Foreword
- Preface
- Chapter 1 Examples and Basic Concepts
- Chapter 2 Axiom Systems
- Chapter 3 Lattices
- Chapter 4 Basis-Exchange Properties
- Chapter 5 Orthogonality
- Chapter 6 Graphs and Series-Parallel Networks
- Chapter 7 Constructions
- Chapter 8 Strong Maps
- Chapter 9 Weak Maps
- Chapter 10 Semimodular Functions
- Appendix of Matroid Cryptomorphisms
- Index
- ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS
Summary
A large body of mathematics consists of facts that can be presented and described much like any other natural phenomenon. These facts, at times explicitly brought out as theorems, at other times concealed within a proof, make up most of the applications of mathematics, and are the most likely to survive change of style and of interest.
This ENCYCLOPEDIA will attempt to present the factual body of all mathematics. Clarity of exposition, accessibility to the nonspecialist, and a thorough bibliography are required of each author. Volumes will appear in no particular order, but will be organized into sections, each one comprising a recognizable branch of present-day mathematics. Numbers of volumes and sections will be reconsidered as times and needs change.
It is hoped that this enterprise will make mathematics more widely used where it is needed, and more accessible in fields in which it can be applied but where it has not yet penetrated because of insufficient information.
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- Information
- Theory of Matroids , pp. xi - xiiPublisher: Cambridge University PressPrint publication year: 1986