Mathematical objects in C++ : computational tools in a unified object-oriented approach /

Emphasizing the connection between mathematical objects and their practical C++ implementation, this book provides a comprehensive introduction to both the theory behind the objects and the C and C++ programming. It covers discrete mathematics, data structures, and computational physics, including h...

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Bibliographic Details
Main Author:	Shapira, Yair, 1960-
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, ©2009.
Series:	Chapman & Hall/CRC numerical analysis and scientific computing.
Subjects:	Numerical analysis > Data processing. C++ (Computer program language) Analyse numérique > Informatique. C++ (Langage de programmation) MATHEMATICS > Numerical Analysis. Numerical analysis > Data processing C++ (programspråk) Numerisk analys > databehandling. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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.