Mathematical Objects in C++

NOTE EDITORE

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.

SOMMARIO

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.

AUTORE

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

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9781439811474
• Collana: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
• Dimensioni: 9.25 x 6.25 in Ø 2.25 lb
• Formato: Copertina rigida
• Illustration Notes: 130 b/w images
• Pagine Arabe: 636