文件名称：Mathematical Objects in C++
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更新时间：2022-02-04 17:30:34
C++
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