Mathematical Objects in C++: Computational Tools in A Unified Object-Oriented Approach (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
By 作者: Yair Shapira
ISBN-10 书号: 1439811474
ISBN-13 书号: 9781439811474
Edition 版本: 1
出版日期: 2009-06-19
pages 页数: (600)
$210
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.
Chapter 1：Natural Numbers
Chapter 2：Integer Numbers
Chapter 3：Rational Numbers
Chapter 4：Real Numbers
Chapter 5：Complex Numbers
Chapter 6：Euclidean Geometry
Chapter 7：Analytic Geometry
Chapter 8：Sets
Chapter 9：Vectors and Matrices
Chapter 10：Multilevel Objects
Chapter 11：Graphs
Chapter 12：Polynomials
Chapter 13：Basics of Programming
Chapter 14：Recursion
Chapter 15：Objects
Chapter 16：Vectors and Matrices
Chapter 17：Dynamic Vectors and Lists
Chapter 18：Trees
Chapter 19：Graphs
Chapter 20：Sparse Matrices
Chapter 21：Meshes
Chapter 22：Triangulation
Chapter 23：Mesh of Tetrahedra
Chapter 24：Polynomials
Chapter 25：Sparse Polynomials
Chapter 26：Stiffiness and Mass Matrices
Chapter 27：Splines
Chapter 28：Appendix:Solutions of Exercises
