Shapira Mathematical Objects in C++

Computational Tools in A Unified Object-Oriented Approach
1. Auflage 2010
ISBN: 978-1-4398-1148-1
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 609 Seiten

Reihe: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

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. Object-oriented implementation of three-dimensional meshes facilitates understanding of their mathematical nature. Requiring no prerequisites, the text covers discrete mathematics, data structures, and computational physics, including high-order discretization of nonlinear equations. Exercises and solutions make the book suitable for classroom use and a supporting website supplies downloadable code.

Autoren/Hrsg.

Shapira, Yair

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Objektorientierte Programmierung

Inhaltsverzeichnis

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
Exercises appear at the end of each chapter.

Über Autor(innen)

Yair Shapira is in the computer science department at Technion. His research interests include multigrid, preconditioning, and numerical methods.