Mathematical Objects in C++: Computational Tools in a Unified Object-Oriented Approach

NUMBERS

Natural Numbers

Integer Numbers

Rational Numbers

Real Numbers

Complex Numbers

GEOMETRICAL OBJECTS

Euclidean Geometry

Analytic Geometry

COMPOSITE MATHEMATICAL OBJECTS

Sets

Vectors and Matrices

Multilevel Objects

Graphs

Polynomials

INTRODUCTION TO C

Basics of Programming

Recursion

INTRODUCTION TO C++

Objects

Vectors and Matrices

Dynamic Vectors and Lists

IMPLEMENTATION OF COMPUTATIONAL OBJECTS

Trees

Graphs

Sparse Matrices

Meshes

Triangulation

THREE-DIMENSIONAL APPLICATIONS

Mesh of Tetrahedra

Polynomials

Sparse Polynomials

Stiffness and Mass Matrices

Splines

Appendix: Solutions of Exercises

References

Index