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MatheMatical Objects in c++
computational Tools in a Unified
Object-Oriented Approach
Yair Shapira

Table of Contents

Part I Numbers

1 Natural Numbers

2 Integer Numbers

3 Rational Numbers

4 Real Numbers

5 Complex Numbers

Part II Geometrical Objects

6 Euclidean Geometry

7 Analytic Geometry

Part III Composite Mathematical Objects

8 Sets

9 Vectors and Matrices

10 Multilevel Objects

11 Graphs

12 Polynomials

Part IV Introduction to C

13 Basics of Programming

14 Recursion

Part V Introduction to C++

15 Objects

16 Vectors and Matrices

17 Dynamic Vectors and Lists

Part VI Implementation of Computational Objects

18 Trees

19 Graphs

20 Sparse Matrices

21 Meshes

22 Triangulation

Part VII Three-Dimensional Applications

23 Mesh of Tetrahedra

24 Polynomials

25 Sparse Polynomials

26 Stiffness and Mass Matrices

27 Splines

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