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Mathematical Objects in C Computational Tools in A Unified Object Oriented Approach 1st Edition by Yair Shapira ISBN 1439811474 9781439811474

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Mathematical Objects in C Computational Tools in A Unified Object Oriented Approach 1st Edition Yair Shapira Digital Instant Download

Author(s): Yair Shapira
ISBN(s): 9781439811474, 1439811474
Edition: 1
File Details: PDF, 6.21 MB
Year: 2009
Language: english
SKU: EB-1205138 Category: Tag:

Mathematical Objects in C Computational Tools in A Unified Object Oriented Approach 1st Edition by Yair Shapira – Ebook PDF Instant Download/Delivery: 1439811474, 9781439811474

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Product details:

ISBN 10: 1439811474

ISBN 13: 9781439811474 

Author: Yair Shapira

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.

Table of contents:

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

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Tags: Yair Shapira, Mathematical Objects, C, Computational Tools, Object Oriented, Approach