finelybook
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
Publisher Finelybook 出版日期: 2009-06-19
Pages: 609
Book Description
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
