Difference between revisions of "VNR Concise Encyclopedia of Mathematics"

Revision as of 21:07, 7 March 2016

The VNR Concise Encyclopedia of Mathematics is an encyclopedia of mathematics.

See Mathematics glossary.

Table of contents

Table of contents, 1975 edition.

Elementary mathematics

• Fundamental operations on rational numbers
• Higher arithmetical operations
• Development of the number system
• Algebraic explanation
• Functions
• Percentages, interest, and annuities
• Plane geometry
• Solid geometry
• Descriptive geometry
• Trigonometry
• Plane trigonometry
• Spherical trigonometry
• Analytic geometry of the plane

Steps towards higher mathematics

• Set theory
• Elements of mathematical logic
• Groups and fields
• Linear algebra
• Sequences, series, limits
• Differential calculus
• Integral calculus
• Series of functions
• Ordinary differential equations
• Complex analysis
• Analytic geometry of space
• Projective geometry
• Differential geometry, concave bodies, integral geometry
• Probability theory and statistics
• Calculus of errors adjustment of data, approximation theory
• Numerical analysis
• Mathematical optimization

Brief reports on selected topics

• Number theory
• Algebraic geometry
• Further algebraic structures
• Topology
• Measure theory
• Graph theory
• Potential theory and partial differential equations
• Calculus of variation
• Integral equations
• Functional analysis
• Foundation of geometry
  • Euclidean geometry
  • non-Euclidean geometry
• Foundations of mathematics

Tables

Plates

Editors

• W. Gellert
• H. Kustner (sp.)
• M. Hellwich
• H. Kastner (sp.)

Scientific advisors

• K.A. Hirsch
• H. Reichardt

Publisher

Van Nostrand Reinhold Company.

See also

• Mathematics
• Mathematics glossary