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Mathematical Objects in C++: Computational Tools in A Unified Object-Oriented Approach de Yair Shapira

Mathematical Objects in C++: Computational Tools in A Unified Object-Oriented Approach: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Autor Yair Shapira
en Limba Engleză Paperback – 28 iun 2017
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.
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Specificații

ISBN-13: 9781138113763
ISBN-10: 113811376X
Pagini: 636
Ilustrații: 130 Illustrations, black and white
Dimensiuni: 156 x 234 x 33 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Cuprins

Numbers. Geometrical Objects. Composite Mathematical Objects. Introduction to C. Introduction to C++. Implementation of Computational Objects. Three-Dimensional Applications. Appendix. References. Index.

Notă biografică

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

Recenzii

"This is an exciting book on mathematics on one hand and computer programming on the other, and the reader can concentrate on one of the topics or both. The mathematics part focuses on teaching mathematics through constructive algorithms, ready for computer implementation. I believe this is the future view of these classical mathematical subjects. Many will find this book a major refresher of the mathematics literature. The programming part of the book serves as a very good introduction to C and C++, using meaningful and motivating examples from mathematics. The book is full of useful exercises of various difficulty. This fact makes the book very suitable as a textbook for a mathematics or computer science course."
—Hans Petter Langtangen, Simula Research Laboratory and University of Oslo, Norway

Descriere

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.